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A309726
Numbers k such that k^2 - 12 is prime.
1
5, 7, 11, 13, 17, 19, 25, 29, 35, 41, 49, 53, 59, 61, 79, 85, 91, 95, 97, 103, 107, 113, 119, 121, 137, 139, 145, 149, 163, 169, 173, 179, 181, 185, 191, 205, 209, 227, 233, 235, 245, 251
OFFSET
1,1
COMMENTS
All terms are odd and not divisible by 3.
LINKS
FORMULA
If A056927(k) = 12, then k is a term. - A.H.M. Smeets, Aug 15 2019
EXAMPLE
11 is in the sequence because 11^2 - 12 = 109, which is prime.
MATHEMATICA
Select[Range[5, 301, 2], PrimeQ[#^2-12]&] (* Harvey P. Dale, Dec 23 2019 *)
PROG
(PARI) select(n->isprime(n^2-12), [1..1000]) \\ Andrew Howroyd, Aug 14 2019
KEYWORD
nonn
AUTHOR
Daniel Starodubtsev, Aug 14 2019
STATUS
approved