A274235 Numbers n such that n^2048 + (n+1)^2048 is prime.

754, 1289, 1368, 1813, 3159, 3280, 3301, 4976, 6204, 6283, 6723, 6904, 7141, 10246, 11417, 13268, 15456, 19428, 19683, 19698, 20298, 21484, 22543, 23702, 23815, 24747, 27010, 32319, 34133, 36201, 37030, 39438, 41292, 44472, 47623, 50198, 51031, 51370, 51521, 52628, 53073, 53309, 53767, 55911, 56630, 59424

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 & Renaud Lifchitz, Search for : x^2048+y^2048.

Crossrefs

Cf. A005097, A027861, A155211, A153504, A154535, A174156, A174157, A215431, A215432, A215433, A274234, A274236, A274237.

Programs

Magma

[n: n in [1..10000] |IsPrime(n^2048 + (n+1)^2048)];

Mathematica

Select[Range[1, 10000], PrimeQ[#^2048 + (#+1)^2048] &]

PARI

for(n=1, 10000, if(isprime(n^2048 + (n+1)^2048), print1(n, ", ")))