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A163682
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Smaller prime p in Ormiston pairs (p, q) with q - p = 90.
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2
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2030789, 2542237, 3863017, 4508341, 7001123, 7583341, 8482459, 8547677, 8916239, 9194677, 9470017, 11117123, 11755673, 11999563, 13691563, 13898237, 15906127, 16047673, 16272343, 16299013, 16829563, 17437457, 17604347
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OFFSET
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1,1
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COMMENTS
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An Ormiston pair (or rearrangement prime pair) is a pair of consecutive primes that use the same digits in a different order.
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LINKS
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EXAMPLE
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(3863017, 3863107) is an Ormiston pair with gap 90, so 3863017 is in the sequence.
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MATHEMATICA
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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 *)
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PROG
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(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) ];
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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