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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

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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

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

EXAMPLE

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

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 *)

PROG

(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) ];

CROSSREFS

Subsequence of A069567.

Cf. A072274, A163863.

Sequence in context: A305698 A052090 A234889 * A106776 A238296 A359345

Adjacent sequences: A163676 A163677 A163678 * A163680 A163681 A163682

KEYWORD

nonn,base

AUTHOR

Klaus Brockhaus, Aug 03 2009

EXTENSIONS

Keyword base added by Klaus Brockhaus, Sep 18 2009

STATUS

approved

URL: https://oeis.org/A163679

⇱ A163679 - OEIS