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Search: id:A053736
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| A053736 |
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Run through primes p; if the digits of p*q (where q is the prime following p) can be rearranged to form one or more primes r, append these primes r to the sequence. |
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+0
3
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| 53, 431, 233, 347, 743, 1471, 1741, 7411, 1571, 5171, 5711, 7151, 1367, 1637, 3167, 3617, 3671, 3761, 6173, 6317, 1249, 1429, 4129, 4219, 9241, 9421, 1237, 1327, 1723, 2137, 2371, 2713, 2731, 3217, 3271, 7213, 7321, 5399, 5939, 9539
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Leading zeros are not allowed in the rearranged number.
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REFERENCES
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C. A. Pickover, "Vampire numbers," chapter 30 of Keys to Infinity. NY: Wiley, 1995. Pages 227-231
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EXAMPLE
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7*11=77, but no prime rearrangements are possible; 11*13 is 143, whose digits can be rearranged to 431, a prime.
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CROSSREFS
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A053652 gives the entries sorted and with duplicates removed. Cf. A014575, A053652.
Sequence in context: A074836 A133287 A142851 this_sequence A142209 A165555 A112749
Adjacent sequences: A053733 A053734 A053735 this_sequence A053737 A053738 A053739
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KEYWORD
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easy,nonn,base
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Feb 13 2000
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EXTENSIONS
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Corrected and extended by Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Dec 01 2006
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