A271820 Primes of the form 236241327599 + 2*n^2.

236241327599, 236241327601, 236241327607, 236241327617, 236241327631, 236241327649, 236241327671, 236241327697, 236241327727, 236241327761, 236241327799, 236241327841, 236241328177, 236241328751, 236241330049, 236241331831, 236241332207, 236241332401, 236241333649, 236241334799

Offset

1,1

Comments

The first 12 primes correspond to the values of n from 0 to 11. The first term is a member of A271348.

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 236241327599, which is a prime as determined in A271348.
For n=1, we get 236241327599 + 2*1^2 = 236241327601, which is a prime as determined in A271348.

Mathematica

Select[Table[236241327599+2*n^2, {n, 0, 100}], PrimeQ]

Prog

(PARI) for(n=0, 100, isprime(236241327599+2*n^2) && print1(236241327599+2*n^2, ", "))

Crossrefs

Cf. A000040 (primes), A271348 (contains the first term), A050265, A007641, A271366, A271818, A271819 (similar sequences whose first term is in A271348).

Sequence in context: A112431 A202725 A132908 * A204781 A288477 A268846

Adjacent sequences: A271817 A271818 A271819 * A271821 A271822 A271823

Keyword

nonn

Author

Waldemar Puszkarz, Apr 14 2016

Status

approved