- #1
Russell E. Rierson
- 384
- 0
A general equation for Y > X :
X^p + p*M + [Y-X] = Y^p
3^3 + 3*12 + 1 = 4^3
3^3 + 3*32 + 2 = 5^3
3^3 + 3*62 + 3 = 6^3
3^3 + 3*104 + 4 = 7^3
3^3 + 3*160 + 5 = 8^3
3^3 + 3*232 + 6 = 9^3
[...]
4^3 + 3*20 + 1 = 5^3
4^3 + 3*50 + 2 = 6^3
4^3 + 3*92 + 3 = 7^3
4^3 + 3*148 + 4 = 8^3
4^3 + 3*220 + 5 = 9^3
[...]
X^p + p*M + N = Y^p
It also works for p = 2,5,7, etc...?
3^2 + 2*3 + 1 = 4^2
3^2 + 2*7 + 2 = 5^2
3^2 + 2*12 + 3 = 6^2
3^2 + 2*18 + 4 = 7^2
[...]
4^5 + 5*420 + 1 = 5^5
4^5 + 5*1350 + 2 = 6^5
4^5 + 5*3156 + 3 = 7^5
[...]
X^p + p*M + [Y - X] = Y^p
X^p + p*M + [Y-X] = Y^p
3^3 + 3*12 + 1 = 4^3
3^3 + 3*32 + 2 = 5^3
3^3 + 3*62 + 3 = 6^3
3^3 + 3*104 + 4 = 7^3
3^3 + 3*160 + 5 = 8^3
3^3 + 3*232 + 6 = 9^3
[...]
4^3 + 3*20 + 1 = 5^3
4^3 + 3*50 + 2 = 6^3
4^3 + 3*92 + 3 = 7^3
4^3 + 3*148 + 4 = 8^3
4^3 + 3*220 + 5 = 9^3
[...]
X^p + p*M + N = Y^p
It also works for p = 2,5,7, etc...?
3^2 + 2*3 + 1 = 4^2
3^2 + 2*7 + 2 = 5^2
3^2 + 2*12 + 3 = 6^2
3^2 + 2*18 + 4 = 7^2
[...]
4^5 + 5*420 + 1 = 5^5
4^5 + 5*1350 + 2 = 6^5
4^5 + 5*3156 + 3 = 7^5
[...]
X^p + p*M + [Y - X] = Y^p