A060342 Smallest prime simultaneously the sum of two, three, ..., n consecutive composite numbers.

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

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