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Search: id:A114519
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| 2, 3, 5, 5, 7, 7, 11, 7, 13, 17, 11, 19, 13, 23, 11, 11, 29, 31, 19, 13, 37, 13, 41, 43, 47, 19, 17, 53, 29, 31, 59, 61, 67, 71, 17, 73, 23, 79, 43, 83, 19, 89, 97, 29, 101, 103, 107, 31, 109, 23, 113, 61, 127, 131, 137, 139, 73, 41, 149, 151, 157, 37, 83, 163, 19, 167, 47
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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A114518(15) = 24 = 2^3 * 3 and 2^3 + 3 = 11 (which is prime). So a(15) = 11.
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MATHEMATICA
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f[n_] := Plus @@ Power @@@ FactorInteger[n]; Select[f /@ Range[175], PrimeQ[ # ] &] (*Chandler*)
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PROGRAM
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(PARI) A008475(n)=local(t); if(n<1, 0, t=factor(n); sum(k=1, matsize(t)[1], t[k, 1]^t[k, 2])); for(i=1, 500, if(isprime(A008475(i)), print1(A008475(i), ", "))) (Herrgesell)
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CROSSREFS
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Cf. A008475, A114518.
Sequence in context: A002334 A115732 A048947 this_sequence A126762 A082048 A113459
Adjacent sequences: A114516 A114517 A114518 this_sequence A114520 A114521 A114522
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Dec 05 2005
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net) and Lambert Herrgesell (zero815(AT)googlemail.com), Dec 07 2005
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