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Search: id:A030430
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| 11, 31, 41, 61, 71, 101, 131, 151, 181, 191, 211, 241, 251, 271, 281, 311, 331, 401, 421, 431, 461, 491, 521, 541, 571, 601, 631, 641, 661, 691, 701, 751, 761, 811, 821, 881, 911, 941, 971, 991, 1021, 1031, 1051, 1061, 1091, 1151, 1171, 1181, 1201, 1231, 1291
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Also primes of form 5n+1 or equivalently 5n+6.
Primes p such that the arithmetic mean of divisors of p^4 is an integer : A000203(p^4)/A000005(p^4) = C. [From Ctibor O. Zizka (c.zizka(AT)email.cz), Sep 15 2008]
Contribution from Tito Piezas III (tpiezas(AT)gmail.com), Dec 28 2008: (Start)
Being a subset of A141158, this is also a subset of the primes of form x^2-5y^2.
(End)
All primes belong second column [A144562] [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 13 2009]
Primes p such that arithmetic mean of divisors of p^4 is an integer. [From Ctibor O. Zizka (c.zizka(AT)email.cz), Oct 20 2009]
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LINKS
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A. Granville and G. Martin, Prime number races
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FORMULA
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a(n) = 10*A024912(n+1)+1 = 5*A081759(n)+6.
Union of A132230 and A132232. [From Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 07 2009]
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MATHEMATICA
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Select[Prime@Range[210], Mod[ #, 10] == 1 &] (*Chandler*)
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CROSSREFS
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Cf. A024912, A045453, A049511, A081759.
Cf. A104146(floor(a(n)/10)) = 1.
Cf. A144562, A067076, A153238 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 13 2009]
Sequence in context: A038351 A068871 A004615 this_sequence A059313 A040975 A040172
Adjacent sequences: A030427 A030428 A030429 this_sequence A030431 A030432 A030433
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KEYWORD
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nonn
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AUTHOR
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Warut Roonguthai (warut822(AT)yahoo.com)
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