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A135243 Numbers n such that sigma(n)=6*(reversal(n)-n). +0
2
34, 394, 3994, 39994, 2309882, 3070463, 7796129, 205207782, 225073882, 478854106, 644154038, 1556396391, 3154222593, 3165974493, 5951924107, 10444787521, 12114130241, 20611191282, 58403366517, 71103822309 (list; graph; listen)
OFFSET

1,1

COMMENT

If n=4*10^m-6 is a semiprime (and 2*10^m-3 is prime) then n is in the sequence (the proof is easy). Next term is greater than 7*10^7.

EXAMPLE

sigma(34)=54=6*(43-34)=6*(reversal(34)-34), so 34 is in the sequence.

MATHEMATICA

Do[If[6(FromDigits@Reverse@IntegerDigits@n-n)==DivisorSigma[1, n], Print[n]], {n, 70000000}]

CROSSREFS

Cf. A135242.

Sequence in context: A101092 A034978 A059338 this_sequence A033914 A159655 A107917

Adjacent sequences: A135240 A135241 A135242 this_sequence A135244 A135245 A135246

KEYWORD

base,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Jan 04 2008

EXTENSIONS

a(8)-a(20) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Dec 21 2008

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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