A271818 Primes of the form 33164857769 + 2*n^2.

33164857769, 33164857771, 33164857777, 33164857787, 33164857801, 33164857819, 33164857841, 33164857867, 33164857897, 33164857931, 33164857969, 33164858011, 33164858347, 33164858569, 33164858737, 33164859019, 33164859569, 33164859691, 33164859817, 33164860219, 33164860507, 33164862769, 33164863177, 33164864731, 33164864969, 33164865457, 33164865961, 33164866481, 33164868427, 33164869321

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 and A165234.

Links

Table of n, a(n) for n=1..30.

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

Example

For n=0, we get 33164857769, which is a prime as determined in A271348.
For n=1, we get 33164857769 + 2*1^2 = 33164857771, which is a prime as determined in A271348.

Mathematica

Select[Table[33164857769+2*n^2, {n, 0, 100}], PrimeQ]

Prog

(PARI) for(n=0, 100, isprime(33164857769+2*n^2) && print1(33164857769+2*n^2, ", "))

Crossrefs

Cf. A000040 (primes), A271348, A165234 (sequences containing the first term), A050265, A007641, A271366, A271819, A271820 (similar sequences whose first term is in A271348).

Sequence in context: A212942 A233794 A202281 * A034655 A099600 A115498

Adjacent sequences: A271815 A271816 A271817 * A271819 A271820 A271821

Keyword

nonn

Author

Waldemar Puszkarz, Apr 14 2016

Status

approved