A163679 Smaller prime p in Ormiston pairs (p, q) with q - p = 36.

98737, 116293, 187237, 240437, 276781, 343337, 357437, 447137, 454637, 456293, 465337, 508037, 542837, 565937, 586237, 623071, 802037, 817237, 820837, 836071, 837737, 839837, 843137, 850637, 884537, 897781, 903037, 913337, 1032071

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

			(187237, 187273) is an Ormiston pair with gap 36, so 187237 is in the sequence.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• 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(1050000) | q-p eq 36 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[8000]], 2, 1], Last[#] - First[#] == 36 &], Sort[IntegerDigits[First[#]]] == Sort[IntegerDigits[Last[#]]] &]][[1]] (* G. C. Greubel, Aug 02 2017 *)

Extensions

Keyword base added by Klaus Brockhaus, Sep 18 2009