A163680 Smaller prime p in Ormiston pairs (p, q) with q - p = 54.

35617, 40639, 359783, 502339, 552917, 580417, 668417, 719839, 807017, 824339, 833117, 861239, 909917, 961339, 987739, 1078417, 1145539, 1168639, 1185017, 1196539, 1220839, 1313239, 1479617, 1497439, 1710439, 1710539, 1732139

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

			(359783, 359837) is an Ormiston pair with gap 54, so 359783 is in the sequence.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000
• 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(1750000) | q-p eq 54 and a eq b where a is Sort(Intseq(p)) where b is Sort(Intseq(q)) where q is NextPrime(p) ];

Mathematica

op54Q[{a_,b_}]:=Sort[IntegerDigits[a]]==Sort[IntegerDigits[b]] && b-a==54; Transpose[Select[Partition[Prime[Range[150000]],2,1],op54Q]][[1]] (* Harvey P. Dale, Jun 16 2014 *)

Extensions

Keyword base added by Klaus Brockhaus, Sep 18 2009