A256602 Primes of form 12*k + 1 and not a twin prime.

37, 97, 157, 277, 337, 373, 397, 409, 457, 541, 577, 613, 673, 709, 733, 757, 769, 853, 877, 937, 997, 1009, 1069, 1117, 1129, 1201, 1213, 1237, 1249, 1297, 1381, 1549, 1597, 1657, 1693, 1741, 1753, 1777, 1801, 1861, 1993, 2017, 2053, 2137, 2161, 2221, 2281, 2293, 2377

Offset

1,1

Comments

A142793 is a subsequence.

Links

Table of n, a(n) for n=1..49.

Formula

a(n) ~ 4n log n. - Charles R Greathouse IV, Apr 06 2015

Example

37 = 12*3+1 and 35 is not prime, so 37 belongs to the sequence.

Prog

(PARI) is(n)=isprime(n) && n%12==1 && !isprime(n+2) && !isprime(n-2) \\ Charles R Greathouse IV, Apr 06 2015

Crossrefs

Cf. A142793 (primes congruent to 37 mod 60).

Sequence in context: A145480 A033222 A098025 * A142793 A139939 A159231

Adjacent sequences: A256599 A256600 A256601 * A256603 A256604 A256605

Keyword

nonn

Author

Neri Gionata, Apr 06 2015

Status

approved