A142793 -id:A142793 - cp's OEIS frontend

A142786 Primes congruent to 7 mod 60.

7, 67, 127, 307, 367, 487, 547, 607, 727, 787, 907, 967, 1087, 1327, 1447, 1567, 1627, 1747, 1867, 1987, 2287, 2347, 2467, 2647, 2707, 2767, 2887, 3067, 3187, 3307, 3547, 3607, 3727, 3847, 3907, 3967, 4027, 4327, 4447, 4507, 4567, 4987, 5107, 5167, 5227

Offset: 1

N. J. A. Sloane, Jul 11 2008

Comment from Joshua S.M. Weiner, Oct 12 2012 (Start)
Intersection of A068229 and A141882. Subsequence of A132231.
Congruence classes of primes mod 60: A088955 (1), (this sequence 7),  A117047 (11), A142787 (13), A142788 (17), A142789 (19), A142790 (23), A142791 (29), A142792 (31), A142793 (37), A142794 (41), A142795 (43), A142796 (47), A142797 (49), A142798 (53), A142799 (59). (End)

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A000040, A142322.

[p: p in PrimesUpTo(6000) | p mod 60 eq 7 ]; // Vincenzo Librandi, Sep 04 2012

Select[Prime[Range[1000]], Mod[#, 60] == 7 &] (* T. D. Noe, Oct 12 2012 *)
Select[Range[7,5300,60],PrimeQ] (* Harvey P. Dale, Nov 21 2018 *)

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

Original entry on oeis.org

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

Neri Gionata, Apr 06 2015

nonn

A142793 is a subsequence.

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

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

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

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

cp's OEIS Frontend

A142786 Primes congruent to 7 mod 60.

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