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A129749 Numbers n that divide the sum of the first n nonprimes. 3
1, 8, 32, 44, 577, 5066, 5669, 8615, 39787, 59689, 109752, 146328, 15451380, 22173220, 28558717, 332573533, 1837410366, 3289933379, 19053646133, 370648112641 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

A variant of A045345 and A053781.

a(21) > 10^12. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), May 20 2010]

EXAMPLE

The sum of the first 44 nonprimes is 1452 = 33*44.

MAPLE

np:=proc(j) if isprime(j)=false then j else fi end: NP:=[seq(np(j), j=1..50000)]: a:=proc(n) if type(add(NP[j], j=1..n)/n, integer)=true then n else fi end: seq(a(n), n=1..nops(NP)); - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 16 2007

CROSSREFS

Cf. A045345 (n divides sum of first n primes), A053781 (n divides sum of first n composites), A018252 (nonprimes), A051349 (sum of first n nonprimes).

Sequence in context: A059880 A144096 A127988 * A005879 A067519 A009245

Adjacent sequences:  A129746 A129747 A129748 * A129750 A129751 A129752

KEYWORD

nonn,more

AUTHOR

J. M. Bergot (thekingfishb(AT)yahoo.ca), May 14 2007

EXTENSIONS

Edited and a(5) to a(18) added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 17 2007

a(19) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 19 2009

a(20) from Donovan Johnson (donovan.johnson(AT)yahoo.com), May 20 2010

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Last modified February 16 10:50 EST 2012. Contains 205904 sequences.