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A060342
Smallest prime simultaneously the sum of two, three, ..., n consecutive composite numbers.
0
17, 31, 311, 17783
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
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
KEYWORD
nonn,fini,full
AUTHOR
Robert G. Wilson v, Mar 30 2001
STATUS
approved