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Search: id:A129916
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| A129916 |
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Numbers n such that adding the product of the digits of n to the product of n and the sum of its digits yields a prime. |
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+0
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| 1, 11, 19, 27, 29, 31, 43, 49, 51, 53, 57, 61, 73, 79, 83, 87, 91, 221, 283, 463, 469, 643, 649, 661, 887, 1117, 1123, 1139, 1147, 1169, 1171, 1193, 1199, 1231, 1259, 1313, 1319, 1327, 1331, 1349, 1357, 1381, 1391, 1393, 1439, 1459, 1529, 1537, 1549, 1551
(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 19 is 10, the product of the digits is 9.
10*19 + 9 = 199 is a prime, therefore 19 is in the sequence.
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MATHEMATICA
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Select[Range[2000], PrimeQ[ #*Plus@@IntegerDigits[ # ] + Times@@IntegerDigits[ # ]]&]
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CROSSREFS
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Sequence in context: A084654 A089172 A029481 this_sequence A032694 A004769 A125771
Adjacent sequences: A129913 A129914 A129915 this_sequence A129917 A129918 A129919
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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, corrected and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 14 2007
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