

A055514


Composite numbers that are the sum of a string of consecutive prime numbers and are divisible by the first and last primes.


6




OFFSET

1,1


COMMENTS

Composite n such that n = p_1 + p_2 + ... + p_k where the p_i are consecutive primes and n is divisible by p_1 and p_k.
No more terms below 10^22.  Michael Beight, Jul 22 2012


REFERENCES

Problem proposed by Carlos Rivera, who found first 4 terms.


LINKS

Table of n, a(n) for n=1..9.
C. Rivera, Puzzle


EXAMPLE

503 + 509 + 521+ ... + 508213 = 10225245560, which is divisible by 503 and 508213.  Manuel Valdivia, Nov 17 2011
From Michael Beight, Jul 22 2012: (Start)
a(8) = 7228559051256366318 = 73 + ... + 18281691653;
a(9) = 1390718713078158117206 = 370794889 + ... + 267902967061. (End)


CROSSREFS

Cf. A055233.
Sequence in context: A267748 A229325 A074225 * A055233 A267626 A189947
Adjacent sequences: A055511 A055512 A055513 * A055515 A055516 A055517


KEYWORD

nice,nonn


AUTHOR

Jud McCranie, Jul 03 2000


EXTENSIONS

a(7) from Donovan Johnson, Jun 19 2008
a(8) and a(9) from Michael Beight, Jul 22 2012


STATUS

approved



