login
Initial prime in set of 4 consecutive primes with common difference 36.
16

%I #27 Feb 06 2017 20:21:46

%S 5321191,8606621,9148351,41675791,43251251,49820291,51825461,57791281,

%T 66637721,73114441,74055851,82584841,86801801,87620011,112161451,

%U 123720361,125810021,126265751,136413721,140969291,152777291,153348161

%N Initial prime in set of 4 consecutive primes with common difference 36.

%C Subsequence of A052197. - _R. J. Mathar_, Apr 12 2008

%C There are no 5 consecutive primes with common gap 36. - _Zak Seidov_, Jan 17 2013

%C If the primes are not required to be consecutive, the sequence starts 31, 241, 281, 311, 751, 911, 941, 1151, 1451, 2621, 4021, ... - _Michael B. Porter_, Jan 17 2013

%H Zak Seidov, <a href="/A058252/b058252.txt">Table of n, a(n) for n = 1..3000</a>

%H <a href="/index/Pri#primes_AP">Index entries for sequences related to primes in arithmetic progressions</a>

%t Transpose[Select[Partition[Prime[Range[8700000]],4,1], Union[ Differences[#]] =={36}&]][[1]]

%Y Analogous sequences [with common difference in square brackets]: A033451 [6], A033447 [12], A033448 [18], A052242 [24], A052243 [30]

%K nonn

%O 1,1

%A _Harvey P. Dale_, Dec 05 2000

%E a(16)-a(22) from _Donovan Johnson_, Sep 05 2008