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Search: id:A129917
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| A129917 |
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Numbers n such that adding the sum of the digits of n to the product of n and the product of its digits yields a prime. |
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+0
1
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| 1, 11, 13, 14, 16, 17, 19, 20, 25, 30, 31, 32, 37, 43, 47, 49, 50, 58, 61, 70, 73, 74, 79, 83, 85, 91, 92, 95, 101, 102, 104, 106, 110, 120, 140, 160, 164, 188, 200, 201, 203, 205, 209, 210, 212, 218, 223, 227, 230, 232, 238, 245, 250
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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The sum of the digits of 11 is 2, the product is 1. 1*11 +
2 = 13 is a prime.
Therefore 11 is in the sequence.
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MATHEMATICA
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Select[Range[1000], PrimeQ[ #*Times@@IntegerDigits[ # ] + Plus@@IntegerDigits[ # ]]&]
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CROSSREFS
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Adjacent sequences: A129914 A129915 A129916 this_sequence A129918 A129919 A129920
Sequence in context: A043700 A111634 A065877 this_sequence A102577 A038187 A007934
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KEYWORD
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base,nonn,less
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AUTHOR
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J. M. Bergot (thekingfishb(AT)yahoo.ca), Jun 05 2007
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EXTENSIONS
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Edited and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 14 2007
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