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Search: id:A066110
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A066110 Primes of form Sigma4(n)/Sigma2(n), arising in A066109. +0
3
13, 73, 313, 601, 28393, 83233, 922561, 3416953, 13842121, 47451433, 141146281, 212601841, 234750601, 294482761, 2750006041, 3262751521, 4362404353, 4784281393, 5236041961, 9354855121, 9597826993, 13564461457, 16936647121 (list; graph; listen)
OFFSET

1,1

FORMULA

Primes of form A001159[A066109(n)]/A001157[A066109(n)].

EXAMPLE

m=20: divisors[20]={20,10,5,4,2,1},Sigma4=160000+10000+625+256+16+1=170898, Sigma2=400+100+25+16+4+1=546; p=170898/546=73 is prime, the 2nd term.

MATHEMATICA

Do[s=DivisorSigma[4, n]; z=DivisorSigma[2, n]; If[PrimeQ[s/z], Print[{n, s, z, s/z}]], {n, 1, 10000000}] Output=s/z.

CROSSREFS

Cf. A001159, A001157, A000040, A066109-A066113.

Adjacent sequences: A066107 A066108 A066109 this_sequence A066111 A066112 A066113

Sequence in context: A143008 A107963 A006230 this_sequence A020527 A139157 A139070

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Dec 05 2001

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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