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Search: id:A105779
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| A105779 |
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Numbers n such that n + (sum of prime factors of n) = next prime after n. |
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+0
1
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| 24, 48, 54, 144, 288, 384, 648, 972, 1260, 1728, 1792, 1936, 1944, 2304, 3584, 5184, 6250, 6912, 7168, 8748, 8788, 9216, 9604, 10000, 10125, 10816, 11760, 13122, 13824, 17640, 21632, 21952, 23328, 24255, 25088, 26244, 27648, 33264, 35937, 37752
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OFFSET
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1,1
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EXAMPLE
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24 + (sum of prime factors of 24) = 24 + (2 + 3) = 29, the next prime after 24. So 24 belongs to the sequence.
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MATHEMATICA
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<< NumberTheory`NumberTheoryFunctions` Select[Range[2, 10^5], # + Apply[Plus, Transpose[FactorInteger[ # ]][[1]]] == NextPrime[ # ] &]
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CROSSREFS
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Sequence in context: A040552 A098427 A105651 this_sequence A074698 A050497 A162282
Adjacent sequences: A105776 A105777 A105778 this_sequence A105780 A105781 A105782
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KEYWORD
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nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), May 06 2005
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