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A070801 Largest prime <= sigma[n]: a(n)=prevprime[sigma(n)]. +0
6
3, 3, 7, 5, 11, 7, 13, 13, 17, 11, 23, 13, 23, 23, 31, 17, 37, 19, 41, 31, 31, 23, 59, 31, 41, 37, 53, 29, 71, 31, 61, 47, 53, 47, 89, 37, 59, 53, 89, 41, 89, 43, 83, 73, 71, 47, 113, 53, 89, 71, 97, 53, 113, 71, 113, 79, 89, 59, 167, 61, 89, 103, 127, 83, 139, 67, 113, 89 (list; graph; listen)
OFFSET

2,1

COMMENT

A085379(n)<=a(n): a(A085380(n))=A085379(A085380(n)), a(A085381(n))>A085379(A085381(n)); a(A023194(n))=A000203(A023194(n)). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 26 2003

FORMULA

a(n)=p[Pi(sigma[n])]=A007917[A000203(n)]

EXAMPLE

n=10:sigma[100]=217,prevprime[217]=211=a(100)

MATHEMATICA

Table[Prime[PrimePi[DivisorSigma[1, w]]], {w, 2, 128}]

CROSSREFS

Cf. A007917, A000203, A070800, A000720, A000040.

Sequence in context: A129266 A129527 A085379 this_sequence A114753 A079316 A106481

Adjacent sequences: A070798 A070799 A070800 this_sequence A070802 A070803 A070804

KEYWORD

easy,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), May 08 2002

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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