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A274234 Numbers n such that n^1024 + (n+1)^1024 is prime.

%I A274234 #16 Sep 08 2022 08:46:17
%S A274234 1078,2020,2471,3255,4200,5135,5185,6218,6823,7220,8416,9003,9008,
%T A274234 9267,9396,9689,10316,11150,11250,11543,11652,12960,14021,14201,16523,
%U A274234 16751,17006,17054,17747,17874,18157,18640,18834,20478,20481,20794,21147,22166,22608,22638,24450,24677,24894,25709
%N A274234 Numbers n such that n^1024 + (n+1)^1024 is prime.
%C A274234 The first five terms are certified primes, according to: factordb/certoverview.php. The others are probable primes. - _Lewis Baxter_, Jan 05 2021
%H A274234 Richard Fischer, <a href="http://www.fermatquotient.com/PrimSerien/PrimPotP.txt">Primzahlen mit der Form (B+1)^N+B^N</a>.
%H A274234 Henri Lifchitz & Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/searchform.php?form=x%5E1024%2By%5E1024&amp;action=Search">Search for : x^1024+y^1024</a>.
%t A274234 Select[Range[1, 10000], PrimeQ[#^1024 + (#+1)^1024] &]
%o A274234 (PARI) for(n=1, 10000, if(isprime(n^1024 + (n+1)^1024), print1(n, ", ")))
%o A274234 (Magma) [n: n in [1..10000] |IsPrime(n^1024 + (n+1)^1024)]
%Y A274234 Cf. A005097, A027861, A155211, A153504, A154535, A174156, A174157, A215431, A215432, A215433, A274235, A274236, A274237.
%K A274234 nonn
%O A274234 1,1
%A A274234 _Tim Johannes Ohrtmann_, Jun 15 2016