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

1,1

Comments

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

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

Example

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

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 *)

Prog

(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) ];

Crossrefs

Subsequence of A069567.

Cf. A072274, A163863.

Sequence in context: A206673 A205517 A204666 * A172712 A161023 A252920

Adjacent sequences: A163677 A163678 A163679 * A163681 A163682 A163683

Keyword

nonn,base

Author

Klaus Brockhaus, Aug 03 2009

Extensions

Keyword base added by Klaus Brockhaus, Sep 18 2009

Status

approved