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Search: id:A088250
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| A088250 |
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a(n) = smallest number k such that rk+1 is prime for all r = 1 to n. |
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+0
8
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| 1, 1, 2, 330, 10830, 25410, 512820, 512820, 12960606120, 434491727670, 1893245380950, 71023095613470, 878232256181280
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Conjectures: (1) Sequence is infinite. (2) For every n there are infinitely many arithmetic progressions with n successive primes.
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LINKS
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Carlos Rivera, Problems & Puzzles.
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EXAMPLE
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a(11)=1893245380950 because all eleven numbers 1*1893245380950+1, 2*1893245380950+1,3*1893245380950+1,...,10*1893245380950+1 & 11*1893245380950+1 are prime and 1893245380950 is the smallest number with such property.
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CROSSREFS
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Cf. A088251, A088252, A088651, A125838, A125839.
Sequence in context: A012601 A012606 A012729 this_sequence A142355 A159488 A083863
Adjacent sequences: A088247 A088248 A088249 this_sequence A088251 A088252 A088253
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KEYWORD
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more,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 26 2003
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EXTENSIONS
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Edited by Don Reble (djr(AT)nk.ca), Sep 29 2003
Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Jan 05 2007
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