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

1078, 2020, 2471, 3255, 4200, 5135, 5185, 6218, 6823, 7220, 8416, 9003, 9008, 9267, 9396, 9689, 10316, 11150, 11250, 11543, 11652, 12960, 14021, 14201, 16523, 16751, 17006, 17054, 17747, 17874, 18157, 18640, 18834, 20478, 20481, 20794, 21147, 22166, 22608, 22638, 24450, 24677, 24894, 25709

Offset

1,1

Comments

The first five terms are certified primes, according to: factordb/certoverview.php. The others are probable primes. - Lewis Baxter, Jan 05 2021

Links

Table of n, a(n) for n=1..44.

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

Henri Lifchitz & Renaud Lifchitz, Search for : x^1024+y^1024.

Mathematica

Select[Range[1, 10000], PrimeQ[#^1024 + (#+1)^1024] &]

Prog

(PARI) for(n=1, 10000, if(isprime(n^1024 + (n+1)^1024), print1(n, ", ")))
(Magma) [n: n in [1..10000] |IsPrime(n^1024 + (n+1)^1024)]

Crossrefs

Cf. A005097, A027861, A155211, A153504, A154535, A174156, A174157, A215431, A215432, A215433, A274235, A274236, A274237.

Sequence in context: A235570 A278652 A235084 * A023085 A351672 A163562

Adjacent sequences: A274231 A274232 A274233 * A274235 A274236 A274237

Keyword

nonn

Author

Tim Johannes Ohrtmann, Jun 15 2016

Status

approved