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A115749 Numbers n such that sigma(n)=8*reversal(n). 0
861, 951, 2070, 8241, 900051, 8864151, 9000051, 82000041, 8200000041, 82000000041 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If p=3*10^n+17 is prime then 3*p is in the sequence because sigma(3*p)=4*(3*10^n+18)=12*10^n+72=8*(15*10^(n-1)+9)=8* reversal(9*10^n+51)=8*reversal(3*p). Also if p=(2*10^n+1)/3 is prime then 123*p is in the sequence (the proof is easy). Next term is greater than 13*10^7.

a(11) > 10^12. - Giovanni Resta, Oct 28 2012

LINKS

Table of n, a(n) for n=1..10.

EXAMPLE

82000041 is in the sequence because sigma(82000041)

=112000224=8*14000028=8*reversal(82000041).

MATHEMATICA

Do[If[DivisorSigma[1, n]==8*FromDigits[Reverse[IntegerDigits[n]]], Print[n]], {n, 130000000}]

CROSSREFS

Cf. A069216, A105324, A114928, A115747, A115748.

Sequence in context: A278156 A249461 A292626 * A105323 A206756 A203272

Adjacent sequences:  A115746 A115747 A115748 * A115750 A115751 A115752

KEYWORD

base,more,nonn

AUTHOR

Farideh Firoozbakht, Feb 12 2006

EXTENSIONS

a(9)-a(10) from Donovan Johnson, Dec 21 2008

STATUS

approved

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Last modified July 14 08:33 EDT 2020. Contains 335720 sequences. (Running on oeis4.)