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A055514 Composite numbers that are the sum of a string of consecutive prime numbers and are divisible by the first and last primes. 5
10, 39, 155, 371, 10225245560, 2935561623745, 454539357304421 (list; graph; refs; listen; history; internal format)
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.

REFERENCES

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

LINKS

C. Rivera, Puzzle

EXAMPLE

503 + 509 + 521+ ... + 508213 = 10225245560, which is divisible by 503 and 508213. - Manuel Valdivia, Nov 17 2011

CROSSREFS

Cf. A055233.

Sequence in context: A188480 A059722 A074225 * A055233 A189947 A197705

Adjacent sequences:  A055511 A055512 A055513 * A055515 A055516 A055517

KEYWORD

nice,nonn

AUTHOR

Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Jul 03 2000

EXTENSIONS

7228559051256366318 = 73+79+83+ ... +18281691653 is also in the sequence but may not be the next term.

a(7) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jun 19 2008

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.