A163681 Smaller prime p in Ormiston pairs (p, q) with q - p = 72.

1290719, 1477219, 1802419, 2520697, 2902519, 3327419, 3391697, 3498119, 4596419, 4641919, 4709519, 5521819, 5835619, 6091031, 6267419, 6642919, 6943919, 7118519, 7480519, 8241019, 8630519, 8934319, 8946919, 9859697

Offset: 1

Author

Klaus Brockhaus, Aug 03 2009

Keywords

• nonn
• base

Comments

An Ormiston pair (or rearrangement prime pair) is a pair of consecutive primes that use the same digits in a different order.

Examples

			(1802419, 1802491) is an Ormiston pair with gap 72, so 1802419 is in the sequence.
		

Links

• Jens Kruse Andersen, Ormiston Tuples
• Eric Weisstein's World of Mathematics, Rearrangement Prime Pair

Crossrefs

Subsequence of A069567.

Cf. A072274, A163863.

Programs

Magma

[ p: p in PrimesUpTo(10000000) | q-p eq 72 and a eq b where a is Sort(Intseq(p)) where b is Sort(Intseq(q)) where q is NextPrime(p) ];

Mathematica

Transpose[Select[Select[Partition[Prime[Range[800000]],2,1],Last[#]-First[#]==72&],Sort[IntegerDigits[First[#]]]==Sort[IntegerDigits[Last[#]]]&]][[1]]  (* Harvey P. Dale, Feb 14 2011 *)

Extensions

Keyword base added by Klaus Brockhaus, Sep 18 2009