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Search: id:A157655
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| A157655 |
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Zeroless primes p such that the next prime after p can be obtained from p by adding the sum and product of the digits of p. |
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+0
1
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| 11411, 16111, 1112113, 1151113, 14161111, 14611111, 111115141, 111253111, 115112113, 122112311, 151151111, 211711111, 1111116211, 1121123111, 1121181311, 1211215111, 1412113111, 1416131111, 2111121511, 2111215111
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If we allow a zero digit in p, we generate A089824. One could conjecture that
the digit 1 must always appear in the entries of this sequence. The idea for
this sequence and the description was motivated by A089823.
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LINKS
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Cino Hilliard, Pointer primes
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EXAMPLE
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The digits of 11411 add up to 8. The product of the digits is 4. So 11411+8+4
= 11423, the next prime after 11411. So 11411 is in the sequence.
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PROGRAM
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(Other) The link has the Gcc/Gmp program that was used to generate this sequence.
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CROSSREFS
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Cf. A089823, A089824.
Sequence in context: A067779 A082440 A083975 this_sequence A115753 A154064 A140922
Adjacent sequences: A157652 A157653 A157654 this_sequence A157656 A157657 A157658
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KEYWORD
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base,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)hotmail.com), Mar 03 2009
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