A217501 Primes of the form 2*n^2 + 78*n + 37.

37, 577, 1657, 2089, 2557, 3061, 4177, 4789, 5437, 6121, 6841, 8389, 12889, 17137, 18289, 19477, 21961, 27361, 36541, 38197, 41617, 45181, 47017, 48889, 54721, 56737, 58789, 74161, 78877, 83737, 88741, 91297, 93889, 96517, 99181, 113041, 121789, 124777

Offset: 1

Author

Vincenzo Librandi, Oct 09 2012

Keywords

• nonn
• easy

Comments

Conjecture: 2^a(n)-1 is not prime; in other words, these primes are included in A054723.

2*a(n) + 1447 is a square. - Vincenzo Librandi, Apr 09 2015

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..3000

Crossrefs

Cf. Primes of the form 2*n^2+2*(2*k+3)*n+(2*k+1): A176549 (k=0), A154577 (k=2), A154592 (k=3), A154601 (k=4), A217494 (k=7), A217495 (k=10), A217496 (k=11), A217497 (k=12), A217498 (k=13), A217499 (k=16), A217500 (k=17), this sequence (k=18), A217620 (k=19), A217621 (k=21).

Cf. A054723.

Subsequence of A002144.

Programs

Magma

[a: n in [0..600] | IsPrime(a) where a is 2*n^2+78*n+37];

Mathematica

Select[Table[2 n^2 + 78 n + 37, {n, 0, 600}], PrimeQ]