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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.)