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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

0 votes
1 answer
230 views

Can $k$ be arbitrarily large in the following equations?

(Note: This question was cross-posted from MSE per Dris's request.) Let $N = q^k n^2$ be an odd perfect number in Eulerian form. (That is, $q$ is prime with $q \equiv k \equiv 1 \pmod 4$ and $\gcd(q, …
Jr Antalan's user avatar
8 votes
1 answer
1k views

A Question about Palindromic Numbers and System of Arithmetic Progression

Based from Harminc and Sotak's result, www.fq.math.ca/Scanned/36-3/harminc.pdf We know that under certain condition, an arithmetic progression can contain an infinitely many palindromes. My question …
Jr Antalan's user avatar