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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#26 2016-01-03 20:47:51

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Number Theory

Hello!

I just thought I'd drop in and mention that your recursive formula, bob, and your explicit one, bobbym, predict exactly the same sums for S72, S100, S80, etc. It's not exactly a proof, but I am one who thinks that extremely conclusive confirmation is often practically indistinguishable from proof. I hereby declare this problem solved smile

Last edited by Relentless (2016-01-03 20:52:55)

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#27 2016-01-04 04:30:45

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Number Theory

There are certain cases where that phrase "extremely conclusive confirmation" will fail. Although, I consider them pathological they do exist.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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