A057199 -id:A057199 - cp's OEIS frontend

A083577 Primes in A003154.

13, 37, 73, 181, 337, 433, 541, 661, 937, 1093, 2053, 2281, 2521, 3037, 3313, 5581, 5953, 6337, 6733, 7561, 7993, 8893, 10333, 10837, 11353, 12421, 12973, 13537, 15913, 18481, 20533, 21961, 25741, 27337, 32413, 33301, 36037, 36973, 42841

Offset: 1

Jason Earls, Jun 13 2003

Except for the first 3 terms, a subsequence of A057199 (see comment in A057199). - Chai Wah Wu, Sep 16 2019

All terms are primes of the form 4*k + 1 (A002144), because terms of A003154 are of the form 12*k + 1. - John Elias, Jan 25 2021

Zak Seidov, Table of n, a(n) for n = 1..1000

Cf. A002144, A003154.

Select[Array[6*#*(#-1)+1 &, 100], PrimeQ] (* Paolo Xausa, Mar 05 2024 *)

for(n=1,150,s=6*n*(n-1)+1; if(isprime(s),print1(s",")))

A184899 n such that the n-th centered 12-gonal number is prime. Indices of prime star numbers.

Original entry on oeis.org

2, 3, 4, 6, 8, 9, 10, 11, 13, 14, 19, 20, 21, 23, 24, 31, 32, 33, 34, 36, 37, 39, 42, 43, 44, 46, 47, 48, 52, 56, 59, 61, 66, 68, 74, 75, 78, 79, 85, 87, 89, 94, 96, 98, 101, 102, 105, 107, 108, 110, 113, 118, 121, 124, 125, 127, 130, 131, 133, 135, 136, 138

Offset: 1

Jonathan Vos Post, Feb 01 2011

For n > 3, A003154(a(n)) = A057199(2*a(n)-2). - Chai Wah Wu, Sep 17 2019

			98 is in the sequence because 6*98^2 - 6*98 + 1 = 57037 is prime.

Zak Seidov, Table of n, a(n) for n = 1..1000

Cf. A083577, A000040, A003154, A057199.

Select[Range[140],PrimeQ[6#^2-6#+1]&]  (* Harvey P. Dale, Feb 16 2011 *)

{n: 6*n^2 - 6*n + 1 is prime} = {n: A003154(n) is in A000040}.

cp's OEIS Frontend

A083577 Primes in A003154.

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