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A163682 Smaller prime p in Ormiston pairs (p, q) with q - p = 90. 2
2030789, 2542237, 3863017, 4508341, 7001123, 7583341, 8482459, 8547677, 8916239, 9194677, 9470017, 11117123, 11755673, 11999563, 13691563, 13898237, 15906127, 16047673, 16272343, 16299013, 16829563, 17437457, 17604347 (list; graph; refs; listen; history; text; internal format)
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

(3863017, 3863107) is an Ormiston pair with gap 90, so 3863017 is in the sequence.

MATHEMATICA

Transpose[Select[Select[Partition[Prime[Range[70000]], 2, 1], Last[#] - First[#] == 90 &], Sort[IntegerDigits[First[#]]] == Sort[IntegerDigits[Last[#]]] &]][[1]] (* G. C. Greubel, Aug 02 2017 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(17700000) | q-p eq 90 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: A290037 A289956 A263892 * A045871 A272598 A190316

Adjacent sequences:  A163679 A163680 A163681 * A163683 A163684 A163685

KEYWORD

nonn,base

AUTHOR

Klaus Brockhaus, Aug 03 2009

EXTENSIONS

Keyword base added by Klaus Brockhaus, Sep 18 2009

STATUS

approved

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Last modified December 5 23:38 EST 2021. Contains 349558 sequences. (Running on oeis4.)