login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Primes p such that the differences between the 5 consecutive primes starting with p are (4,6,2,4).
2

%I #10 Jun 24 2014 01:08:34

%S 1597,3907,12097,12907,38317,58897,65827,90007,90187,112237,129277,

%T 134077,140407,176317,204427,336757,374977,390097,394717,435637,

%U 486667,538147,543997,588937,618577,678637,702337,922627,990277,996157,1086247

%N Primes p such that the differences between the 5 consecutive primes starting with p are (4,6,2,4).

%C Equivalently, p, p+4, p+10, p+12 and p+16 are consecutive primes.

%C Subsequence of A078851. - _R. J. Mathar_, Feb 11 2013

%H R. J. Mathar, <a href="/A078954/b078954.txt">Table of n, a(n) for n = 1..500</a>

%e 90007 is in the sequence since 90007, 90011, 90017, 90019 and 90023 are consecutive primes.

%t Transpose[Select[Partition[Prime[Range[85000]],5,1],Differences[#] == {4,6,2,4}&]][[1]] (* _Harvey P. Dale_, Sep 30 2012 *)

%Y Cf. A001223, A078866, A078867, A078946-A078971, A022006, A022007.

%K nonn

%O 1,1

%A _Labos Elemer_, Dec 19 2002

%E Edited by _Dean Hickerson_, Dec 20 2002