%I #27 Oct 31 2018 09:27:31

%S 253444777,271386581,286000489,415893013,475992773,523294549,

%T 620164949,794689481,838188877,840725323,846389227,884106599,

%U 884951807,908725507,941796223,952288331,971614151,1002290693,1003166771,1006976797,1053792359,1097338313,1163141201

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

%C Subsequence of A089234 which itself is a subsequence of A126771:

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

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

%H Zak Seidov, <a href="/A210683/b210683.txt">Table of n, a(n) for n = 1..1000</a>

%o (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.:

%o p=0; A210683_vec=vector(10,i,p=A210683(1,p)) \\ Will take a long time! - _M. F. Hasler_, Oct 26 2018

%Y Cf. A089234, A126771.

%Y 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].

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

%K nonn

%O 1,1

%A _Zak Seidov_, May 09 2012