A210683 Primes p such that p, p+60, p+120, p+180 are consecutive primes.

253444777, 271386581, 286000489, 415893013, 475992773, 523294549, 620164949, 794689481, 838188877, 840725323, 846389227, 884106599, 884951807, 908725507, 941796223, 952288331, 971614151, 1002290693, 1003166771, 1006976797, 1053792359, 1097338313, 1163141201

Offset: 1

Author

Zak Seidov, May 09 2012

Keywords

• nonn

Comments

Subsequence of A089234 which itself is a subsequence of A126771:

a(1) = 253444777 = A089234(417) = A126771(81526),

a(36) = 1998782563 = A089234(5579) = A126771(788920).

Links

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

Crossrefs

Cf. A089234, A126771.

Analogous sequences (start of CPAP-4, with common difference in square brackets): A033451 [6], A033447 [12], A033448 [18], A052242 [24], A052243 [30], A058252 [36], A058323 [42], A067388 [48], A259224 [54].

Cf. A054800: union of all sequences of this type (start of CPAP-4).

Programs

PARI

A210683(n, p=2, v=1, g=60, c, o)={forprime(q=p+1, , if(p+g!=p=q, next, q!=o+2*g, c=2, c++>3, v&& print1(o-g", "); n--||break); o=q-g); o-g} \\ Can be used as next(p)=A210683(1, p) to get the next term, e.g.:
p=0; A210683_vec=vector(10,i,p=A210683(1,p)) \\ Will take a long time! - M. F. Hasler, Oct 26 2018