Show the finite fields order 7

→ GF(7)

Addition table

+
+ 0
+ 01
+ 012
+ 0123
+ 01234
+ 012345
+ 0123456
+ 0123456
+ 0123456
0
+ 0123456
0(0 + 0) % 7 = 0
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6(6 + 1) % 7 = 0
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6(6 + 1) % 7 = 0(6 + 2) % 7 = 1
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6(6 + 1) % 7 = 0(6 + 2) % 7 = 1(6 + 3) % 7 = 2
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6(6 + 1) % 7 = 0(6 + 2) % 7 = 1(6 + 3) % 7 = 2(6 + 4) % 7 = 3
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6(6 + 1) % 7 = 0(6 + 2) % 7 = 1(6 + 3) % 7 = 2(6 + 4) % 7 = 3(6 + 5) % 7 = 4
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6(6 + 1) % 7 = 0(6 + 2) % 7 = 1(6 + 3) % 7 = 2(6 + 4) % 7 = 3(6 + 5) % 7 = 4(6 + 6) % 7 = 5
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6(6 + 1) % 7 = 0(6 + 2) % 7 = 1(6 + 3) % 7 = 2(6 + 4) % 7 = 3(6 + 5) % 7 = 4(6 + 6) % 7 = 5
+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6(6 + 1) % 7 = 0(6 + 2) % 7 = 1(6 + 3) % 7 = 2(6 + 4) % 7 = 3(6 + 5) % 7 = 4(6 + 6) % 7 = 5

+ 0123456
0(0 + 0) % 7 = 0(0 + 1) % 7 = 1(0 + 2) % 7 = 2(0 + 3) % 7 = 3(0 + 4) % 7 = 4(0 + 5) % 7 = 5(0 + 6) % 7 = 6
1(1 + 0) % 7 = 1(1 + 1) % 7 = 2(1 + 2) % 7 = 3(1 + 3) % 7 = 4(1 + 4) % 7 = 5(1 + 5) % 7 = 6(1 + 6) % 7 = 0
2(2 + 0) % 7 = 2(2 + 1) % 7 = 3(2 + 2) % 7 = 4(2 + 3) % 7 = 5(2 + 4) % 7 = 6(2 + 5) % 7 = 0(2 + 6) % 7 = 1
3(3 + 0) % 7 = 3(3 + 1) % 7 = 4(3 + 2) % 7 = 5(3 + 3) % 7 = 6(3 + 4) % 7 = 0(3 + 5) % 7 = 1(3 + 6) % 7 = 2
4(4 + 0) % 7 = 4(4 + 1) % 7 = 5(4 + 2) % 7 = 6(4 + 3) % 7 = 0(4 + 4) % 7 = 1(4 + 5) % 7 = 2(4 + 6) % 7 = 3
5(5 + 0) % 7 = 5(5 + 1) % 7 = 6(5 + 2) % 7 = 0(5 + 3) % 7 = 1(5 + 4) % 7 = 2(5 + 5) % 7 = 3(5 + 6) % 7 = 4
6(6 + 0) % 7 = 6(6 + 1) % 7 = 0(6 + 2) % 7 = 1(6 + 3) % 7 = 2(6 + 4) % 7 = 3(6 + 5) % 7 = 4(6 + 6) % 7 = 5

Multiplication table

x
x 0
x 01
x 012
x 0123
x 01234
x 012345
x 0123456
x 0123456
x 0123456
0
x 0123456
0(0 x 0) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0(6 x 1) % 7 = 6
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0(6 x 1) % 7 = 6(6 x 2) % 7 = 5
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0(6 x 1) % 7 = 6(6 x 2) % 7 = 5(6 x 3) % 7 = 4
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0(6 x 1) % 7 = 6(6 x 2) % 7 = 5(6 x 3) % 7 = 4(6 x 4) % 7 = 3
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0(6 x 1) % 7 = 6(6 x 2) % 7 = 5(6 x 3) % 7 = 4(6 x 4) % 7 = 3(6 x 5) % 7 = 2
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0(6 x 1) % 7 = 6(6 x 2) % 7 = 5(6 x 3) % 7 = 4(6 x 4) % 7 = 3(6 x 5) % 7 = 2(6 x 6) % 7 = 1
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0(6 x 1) % 7 = 6(6 x 2) % 7 = 5(6 x 3) % 7 = 4(6 x 4) % 7 = 3(6 x 5) % 7 = 2(6 x 6) % 7 = 1
x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0(6 x 1) % 7 = 6(6 x 2) % 7 = 5(6 x 3) % 7 = 4(6 x 4) % 7 = 3(6 x 5) % 7 = 2(6 x 6) % 7 = 1

x 0123456
0(0 x 0) % 7 = 0(0 x 1) % 7 = 0(0 x 2) % 7 = 0(0 x 3) % 7 = 0(0 x 4) % 7 = 0(0 x 5) % 7 = 0(0 x 6) % 7 = 0
1(1 x 0) % 7 = 0(1 x 1) % 7 = 1(1 x 2) % 7 = 2(1 x 3) % 7 = 3(1 x 4) % 7 = 4(1 x 5) % 7 = 5(1 x 6) % 7 = 6
2(2 x 0) % 7 = 0(2 x 1) % 7 = 2(2 x 2) % 7 = 4(2 x 3) % 7 = 6(2 x 4) % 7 = 1(2 x 5) % 7 = 3(2 x 6) % 7 = 5
3(3 x 0) % 7 = 0(3 x 1) % 7 = 3(3 x 2) % 7 = 6(3 x 3) % 7 = 2(3 x 4) % 7 = 5(3 x 5) % 7 = 1(3 x 6) % 7 = 4
4(4 x 0) % 7 = 0(4 x 1) % 7 = 4(4 x 2) % 7 = 1(4 x 3) % 7 = 5(4 x 4) % 7 = 2(4 x 5) % 7 = 6(4 x 6) % 7 = 3
5(5 x 0) % 7 = 0(5 x 1) % 7 = 5(5 x 2) % 7 = 3(5 x 3) % 7 = 1(5 x 4) % 7 = 6(5 x 5) % 7 = 4(5 x 6) % 7 = 2
6(6 x 0) % 7 = 0(6 x 1) % 7 = 6(6 x 2) % 7 = 5(6 x 3) % 7 = 4(6 x 4) % 7 = 3(6 x 5) % 7 = 2(6 x 6) % 7 = 1

How does the Finite Field Calculator work?
Free Finite Field Calculator - Demonstrates the addition table and multiplication table for a finite field (Galois Field) of n denoted GF(n).
This calculator has 1 input.
What 2 formulas are used for the Finite Field Calculator?
a + b mod n
a * b mod n
What 5 concepts are covered in the Finite Field Calculator?
addition
math operation involving the sum of elements
finite
having limits or bounds
finite field
field containing a finite number of elements
modulus
the remainder of a division, after one number is divided by another.
a mod b
multiplication
math operation involving the product of elements
Example calculations for the Finite Field Calculator
Finite Field Calculator Video

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