12 Dec
2012
12 Dec
'12
2:35 p.m.
Just wrote a little program and ran it on numbers <= 1000, to get: << 9^3 + 10^3 = 12^3 + 1 64^3 + 94^3 = 103^3 + 1 73^3 + 144^3 = 150^3 + 1 135^3 + 235^3 = 249^3 + 1 244^3 + 729^3 = 738^3 + 1 334^3 + 438^3 = 495^3 + 1
Hmm, now I wonder about the asymptotic density of solutions. --Dan I wrote:
QUESTION: Are there other examples of integers x, y, z for which
x^3 + y^3 = z^3 + 1
???