A058252 Initial prime in set of 4 consecutive primes with common difference 36.

5321191, 8606621, 9148351, 41675791, 43251251, 49820291, 51825461, 57791281, 66637721, 73114441, 74055851, 82584841, 86801801, 87620011, 112161451, 123720361, 125810021, 126265751, 136413721, 140969291, 152777291, 153348161

Offset: 1

Author

Harvey P. Dale, Dec 05 2000

Keywords

• nonn

Comments

Subsequence of A052197. - R. J. Mathar, Apr 12 2008

There are no 5 consecutive primes with common gap 36. - Zak Seidov, Jan 17 2013

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

Links

• Zak Seidov, Table of n, a(n) for n = 1..3000
• Index entries for sequences related to primes in arithmetic progressions

Crossrefs

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

Programs

Mathematica

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

Extensions

a(16)-a(22) from Donovan Johnson, Sep 05 2008