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

1,1

Comments

The terms correspond only to probable primes.

Links

Table of n, a(n) for n=1..46.

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

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

Mathematica

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

Prog

(PARI) for(n=1, 10000, if(isprime(n^2048 + (n+1)^2048), print1(n, ", ")))
(Magma) [n: n in [1..10000] |IsPrime(n^2048 + (n+1)^2048)];

Crossrefs

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

Sequence in context: A251330 A092449 A197107 * A304608 A252913 A252917

Adjacent sequences: A274232 A274233 A274234 * A274236 A274237 A274238

Keyword

nonn

Author

Tim Johannes Ohrtmann, Jun 15 2016

Status

approved