User talk:RSTate

Markov numbers
I didn't understand why you removed the number 610 from the list. This number is contained in, but the wikipedia list now gives the impression that there was no markov number between 433 and 985. It should be possible to find a triple containing the 610, shouldn't it? Moreover, I think your claim "Markov numbers are sums of pairs of squares" is non-obvious, and hence should have a source (or a sketched reason). - Jochen Burghardt (talk) 16:43, 10 March 2014 (UTC)

"Markov numbers are sums of pairs of squares"

This follows from two facts:

1. "All prime divisors of Markov numbers (with exception 2) are of the form 4k+1"

(OEIS and attributed to Artur Jasinski, Nov 20 2011)

2. "if all of n's odd prime factors congruent to 3 modulo 4 occur to an even exponent, it is expressible as a sum of two squares"

(wikipedia third paragraph)

The conclusion should be obvious when these are combined.

In my opinion this fact does not seem intrinsic enough to the nature of Markov numbers to warrant more than the passing reference it already has. On the other hand, I have not seen another source to cite that explicitly states this.

50.161.77.97 (talk) 08:08, 8 September 2014 (UTC)