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A060342 Smallest prime simultaneously the sum of two, three, ..., n consecutive composite numbers. 0
17, 31, 311, 17783 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Next term is > 5000000. - Larry Reeves (larryr(AT)acm.org), Jan 03 2003

There are no more terms. If the sum of five consecutive composite numbers is not divisible by 2 or 5 then it is 7 or 23 modulo 30. The sum of six consecutive composite numbers cannot be 7 or 23 modulo 30. - Jens Kruse Andersen, May 11 2014

LINKS

Table of n, a(n) for n=2..5.

EXAMPLE

17 = 8+9.

31 = 15+16 = 9+10+12.

311 = 155+156 = 102+104+105 = 76+77+78+80.

17783 = 8891+8892 = 5926+5928+5929 = 4444+4445+4446+4448 = 3554+3555+3556+3558+3560.

CROSSREFS

Sequence in context: A163443 A339181 A027722 * A045700 A146800 A146731

Adjacent sequences:  A060339 A060340 A060341 * A060343 A060344 A060345

KEYWORD

nonn,fini,full

AUTHOR

Robert G. Wilson v, Mar 30 2001

STATUS

approved

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Last modified December 1 14:10 EST 2021. Contains 349430 sequences. (Running on oeis4.)