A274236 Numbers n such that n^4096 + (n+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

1,1

Comments

The terms correspond only to probable primes.

Links

Table of n, a(n) for n=1..47.

Richard Fischer, Primzahlen mit der Form (B+1)^N+B^N.

Henri Lifchitz & Renaud Lifchitz, Search for : x^4096+y^4096.

Mathematica

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

Prog

(PARI) for(n=1, 10000, if(isprime(n^4096 + (n+1)^4096), print1(n, ", ")))
(Magma) [n: n in [1..10000] |IsPrime(n^4096 + (n+1)^4096)]

Crossrefs

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

Sequence in context: A061329 A276662 A082862 * A213814 A305546 A071644

Adjacent sequences: A274233 A274234 A274235 * A274237 A274238 A274239

Keyword

nonn

Author

Tim Johannes Ohrtmann, Jun 15 2016

Status

approved