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Search: id:A030514
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| 16, 81, 625, 2401, 14641, 28561, 83521, 130321, 279841, 707281, 923521, 1874161, 2825761, 3418801, 4879681, 7890481, 12117361, 13845841, 20151121, 25411681, 28398241, 38950081, 47458321, 62742241, 88529281, 104060401
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Unique numbers having 5 divisors (1, n-th prime, n-th prime^2=their square root, n-th prime^3, themselves). - Alexandre Wajnberg (alexandre.wajnberg(AT)skynet.be), Jan 15 2006
Subsequence of A036967. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 05 2008
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..457
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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a(n)=A000040(n)^(5-1)=A000040(n)^4, where 5 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]^4) list - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 15 2007
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CROSSREFS
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Cf. A030078, A131991, A131992.
Cf. A000005, A000040.
Sequence in context: A108941 A113849 A046453 this_sequence A056571 A053909 A030693
Adjacent sequences: A030511 A030512 A030513 this_sequence A030515 A030516 A030517
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KEYWORD
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nonn,easy
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AUTHOR
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Jeff Burch (jmburch(AT)osprey.smcm.edu)
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EXTENSIONS
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Description corrected by Eric Weisstein (eric(AT)weisstein.com)
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