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Search: id:A055514
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| A055514 |
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Composite numbers that are the sum of a string of consecutive prime numbers and are divisible by the first and last primes. |
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+0
5
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| 10, 39, 155, 371, 10225245560, 2935561623745, 454539357304421
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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REFERENCES
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Problem proposed by Carlos Rivera, who found first 4 terms.
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LINKS
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C. Rivera, Puzzle
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EXAMPLE
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503+509+521+ ... + 508203 = 10225245560, which is divisible by 503 and 508203
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CROSSREFS
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Cf. A055233.
Sequence in context: A022277 A059722 A074225 this_sequence A055233 A104045 A102546
Adjacent sequences: A055511 A055512 A055513 this_sequence A055515 A055516 A055517
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KEYWORD
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nice,nonn
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AUTHOR
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Jud McCranie (j.mccranie(AT)comcast.net), Jul 03 2000
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EXTENSIONS
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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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