A274237 Numbers k such that k^8192 + (k+1)^8192 is prime.

3508, 5209, 13428, 15347, 16339, 17779, 22548, 37726, 40408

Offset: 1

Author

Tim Johannes Ohrtmann, Jun 15 2016

Keywords

• nonn
• more

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^8192+y^8192.

Crossrefs

Cf. A005097, A027861, A155211, A153504, A154535, A174156, A174157, A215431, A215432, A215433, A274234, A274235, A274236.

Programs

Magma

[n: n in [1..10000] |IsPrime(n^8192 + (n+1)^8192)]

Mathematica

Select[Range[1, 10000], PrimeQ[#^8192 + (#+1)^8192] &]

PARI

for(n=1, 10000, if(isprime(n^8192 + (n+1)^8192), print1(n, ", ")))