A296507 -id:A296507 - cp's OEIS frontend

A352805 a(n) = A296507(n+1)/6; numbers k such that 36*k^2 - 13 is prime.

1, 2, 3, 4, 5, 6, 9, 12, 14, 15, 16, 17, 19, 20, 23, 28, 31, 33, 34, 35, 36, 38, 40, 46, 49, 53, 55, 59, 60, 62, 63, 67, 69, 73, 74, 76, 80, 83, 84, 98, 100, 102, 103, 105, 106, 111, 113, 115, 119, 120, 121, 122, 123, 127, 128, 132, 134, 136, 142, 144, 145, 147

Offset: 1

Jianing Song, Apr 04 2022

A296507 with common factor 6 removed.

Jianing Song, Table of n, a(n) for n = 1..10000

Cf. A296507, A154648 ({3} union the resulting primes), A352804.

Select[Range[200], PrimeQ[36*#^2 - 13] &]

PARI
```
isA352805(n)=isprime(36*n^2-13)
```

A309726 Numbers k such that k^2 - 12 is prime.

Original entry on oeis.org

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

Daniel Starodubtsev, Aug 14 2019

nonn

All terms are odd and not divisible by 3.

			11 is in the sequence because 11^2 - 12 = 109, which is prime.

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A028870, A028873, A028876, A028879, A028882, A028885, A186815, A090696, A296507.

Cf. A056927.

Select[Range[5,301,2],PrimeQ[#^2-12]&] (* Harvey P. Dale, Dec 23 2019 *)

select(n->isprime(n^2-12), [1..1000]) \\ Andrew Howroyd, Aug 14 2019

If A056927(k) = 12, then k is a term. - A.H.M. Smeets, Aug 15 2019

cp's OEIS Frontend

A352805 a(n) = A296507(n+1)/6; numbers k such that 36*k^2 - 13 is prime.

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