[seqfan] Pythagorean primes and nexus primes
Tomasz Ordowski
tomaszordowski at gmail.com
Thu Nov 15 14:53:15 CET 2018
Dear SeqFans!
Let's define:
Primes p = a^2+b^2 such that (a^p-b^p)/(a-b) is prime or (a^p+b^p)/(a+b) is
prime.
Conjecture: these are primes p = k^2+(k-1)^2 such that k^p-(k-1)^p is
prime.
There are probably no primes (a^p+b^p)/(a+b) for p = a^2+b^2 > 5.
Cf. https://oeis.org/history/view?seq=A321616&v=13
Maybe someone will prove it or disprove it.
Best regards,
Thomas
_________________________
https://oeis.org/draft/A321616
My invitation to the Discussion.
<#m_-6591018314313610903_m_7707275732640479035_DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2>
More information about the SeqFan
mailing list