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Search: id:A096536
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A096536 Numbers n such that n, n+1, n+2 are all abundant. +0
1
171078830, 268005374, 321893648, 336038624, 487389824, 600350750, 663249950, 668645054, 938109248, 1053424448, 1079741024, 1102433408, 1139364224, 1148927624, 1267293950, 1275861950, 1310259950, 1344330350, 1352253824 (list; graph; listen)
OFFSET

1,1

COMMENT

The entries shown are all even, the first odd n would have to have sigma(n*(n+2)) >4 so n> 10^19.

EXAMPLE

For 171078830= 2*5*13*23*29*1973, sigma(n)/n=2.09355, for 171078831= 3^3*7*11*19*61*71, sigma(n)/n=2.00396 and for 171078832=2^4*31*344917, sigma(n)/n=2.00000579

CROSSREFS

Sequence in context: A116643 A162839 A102337 this_sequence A104331 A003850 A003843

Adjacent sequences: A096533 A096534 A096535 this_sequence A096537 A096538 A096539

KEYWORD

nonn

AUTHOR

John L. Drost (drost(AT)marshall.edu), Aug 13 2004

EXTENSIONS

a(15)-a(19) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Dec 29 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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