A271366 Primes of the form 272259344081 + 2*n^2.

272259344081, 272259344083, 272259344089, 272259344099, 272259344113, 272259344131, 272259344153, 272259344179, 272259344209, 272259344243, 272259344281, 272259344323, 272259344369, 272259344419, 272259344881, 272259345433, 272259345539, 272259347123, 272259347281, 272259347953

Offset

1,1

Comments

The first 14 primes correspond to the values of n from 0 to 13. The first term is a member of A271348 and A165234.

Links

Table of n, a(n) for n=1..20.

Eric Weisstein's World of Mathematics, Prime-generating Polynomial

Example

For n=0, we get 272259344081, which is a prime as determined in A271348.
For n=1, we get 272259344081 + 2*1^2 = 272259344083, which is a prime as determined in A271348.

Mathematica

Select[Table[272259344081+2*n^2, {n, 0, 100}], PrimeQ]

Prog

(PARI) for(n=0, 100, isprime(272259344081+2*n^2) && print1(272259344081+2*n^2, ", "))

Crossrefs

Cf. A000040 (primes), A271348, A165234 (sequences containing the first term), A050265, A007641, A271818, A271819, A271820 (similar sequences whose first term is in A271348).

Sequence in context: A226858 A216904 A015418 * A257659 A339189 A018869

Adjacent sequences: A271363 A271364 A271365 * A271367 A271368 A271369

Keyword

nonn

Author

Waldemar Puszkarz, Apr 05 2016

Status

approved