login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A121817
Numbers m such that 23 + 36*m*(m+1) is prime.
0
0, 2, 4, 5, 7, 12, 14, 15, 27, 30, 32, 34, 40, 47, 49, 50, 57, 60, 62, 67, 72, 75, 82, 85, 89, 95, 97, 102, 104, 105, 109, 110, 119, 135, 140, 162, 175, 177, 180, 182, 187, 189, 194, 200, 214, 219, 222, 225, 235, 239, 242, 244, 247, 254, 257, 259, 265, 277, 279, 280
OFFSET
1,2
COMMENTS
All terms of A121250 (numbers n such that n^2+14 is prime) are of the form n = 3+6*m, m = 0, 1, .... Hence n^2 + 14 = 23 + 36*m(m+1): these values of m are in this sequence.
MATHEMATICA
Select[Range[0, 300], PrimeQ[23 + 36*#(1+# ]&]
PROG
(PARI) select( is_A121817(n)=isprime(23+36*(n+1)*n), [0..299]) \\ M. F. Hasler, May 25 2019
CROSSREFS
Cf. A121250.
Sequence in context: A358511 A165196 A007062 * A359337 A116432 A050027
KEYWORD
nonn
AUTHOR
Zak Seidov, Sep 09 2006
EXTENSIONS
Edited by M. F. Hasler, May 25 2019
STATUS
approved