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Search: id:A112376
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| A112376 |
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Sum of base and exponent of prime powers. |
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+0
2
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| 3, 4, 4, 6, 8, 5, 5, 12, 14, 6, 18, 20, 24, 7, 6, 30, 32, 7, 38, 42, 44, 48, 9, 54, 60, 62, 8, 68, 72, 74, 80, 7, 84, 90, 98, 102, 104, 108, 110, 114, 13, 8, 128, 9, 132, 138, 140, 150, 152, 158, 164, 168, 15, 174, 180, 182, 192, 194, 198, 200, 212, 224, 228, 230, 234, 240, 242
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If n = p^q, where p is prime and q > 0, then p+q is in the sequence.
Might be a good "puzzle" sequence - guess the rule given the first ten or so terms.
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EXAMPLE
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n = 3 = 3^1, so 3+1 = 4 is a term; n = 4 = 2^2, so 2+2 = 4 is again a term.
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PROGRAM
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(PARI) for(n=1, 300, fac=factor(n); if(matsize(fac)[1]==1, print1(fac[1, 1]+fac[1, 2], ", ")))
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CROSSREFS
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Cf. A112375, A064438.
Adjacent sequences: A112373 A112374 A112375 this_sequence A112377 A112378 A112379
Sequence in context: A008474 A111611 A100478 this_sequence A078490 A047877 A100692
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Dec 04 2005
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EXTENSIONS
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Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jan 21 2006
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