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Little math problems September 2018
09-26-2018, 10:20 PM (This post was last modified: 09-27-2018 08:35 PM by Albert Chan.)
Post: #15
RE: Little math problems September 2018
Using (2,2) as base, one general solution for square / cube puzzle:
Below equality work for all non-negative integer n:

(26n+1)2 + (26n+1)2 = 212n+3 = (24n+1)3
(26n+1)3 + (26n+1)3 = 218n+4 = (29n+2)2

Edit: For *all* base (a,b), positive integer k, scale up k6 will work.

So, Valentin big examples (post #7) automatically work, because base = (2,2):

9500208482 = 2 * 41^6
993962581922 = 2 * 89^6
7081411940532321969341507101262893738689268797761826852357921359507223378 = 2 * 1234567890123^6

Looking at above k = 1234567890123, seems Valentin already know this Big Grin
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RE: Little math problems September 2018 - Albert Chan - 09-26-2018 10:20 PM



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