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Search: id:A030516
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| A030516 |
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Numbers with 7 divisors. |
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+0
25
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| 64, 729, 15625, 117649, 1771561, 4826809, 24137569, 47045881, 148035889, 594823321, 887503681, 2565726409, 4750104241, 6321363049, 10779215329, 22164361129, 42180533641, 51520374361, 90458382169, 128100283921
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. - Omar E. Pol (info(AT)polprimos.com), May 06 2008
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LINKS
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R. J. Mathar, Table of n, a(n) for n = 1..404
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FORMULA
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These are the numbers p^6 with p prime. - Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Apr 13 2004
a(n)=A000040(n)^(7-1)=A000040(n)^6, where 7 is the number of divisors of a(n). - Omar E. Pol (info(AT)polprimos.com), May 06 2008
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PROGRAM
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(SAGE) BB = primes_first_n(36) list = [] for i in range(36): list.append(BB[i]^6) list - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 16 2007
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CROSSREFS
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Cf. A050997, A131993.
Cf. A000005, A000040.
Sequence in context: A113851 A046455 A092758 this_sequence A056573 A108538 A055867
Adjacent sequences: A030513 A030514 A030515 this_sequence A030517 A030518 A030519
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KEYWORD
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nonn
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AUTHOR
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Jeff Burch (jmburch(AT)osprey.smcm.edu)
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