A274236 Numbers k such that k^4096 + (k+1)^4096 is prime.

311, 2741, 3582, 5293, 6289, 12080, 14082, 16886, 17971, 19936, 21454, 21486, 26652, 26904, 28314, 34693, 35778, 36292, 40868, 43819, 46356, 46467, 49653, 53996, 57150, 58169, 64937, 67398, 77383, 82577, 86031, 86102, 87352, 87684, 89030, 93340, 95346, 97320, 98191, 111483, 113947, 118052, 125442, 125836, 126157, 127832, 130794

Offset: 1

Author

Tim Johannes Ohrtmann, Jun 15 2016

Keywords

• nonn

Comments

The terms correspond only to probable primes.

Links

• Richard Fischer, Primzahlen mit der Form (B+1)^N+B^N.
• Henri Lifchitz and Renaud Lifchitz, Search for : x^4096+y^4096.

Crossrefs

Cf. A005097, A027861, A155211, A153504, A154535, A174156, A174157, A215431, A215432, A215433, A274234, A274235, A274237.

Programs

Magma

[n: n in [1..10000] |IsPrime(n^4096 + (n+1)^4096)];

Mathematica

Select[Range[1, 10000], PrimeQ[#^4096 + (#+1)^4096] &]

PARI

for(n=1, 10000, if(isprime(n^4096 + (n+1)^4096), print1(n, ", ")))