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Search: id:A073917
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| A073917 |
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Smallest prime which leaves a remainder 1 when divided by primorial(n), i.e. when divided by first n primes. |
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+0
4
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| 3, 7, 31, 211, 2311, 120121, 4084081, 106696591, 892371481, 71166625531, 200560490131, 29682952539241, 2129751844690471, 78496567990020181, 8608456956238879741, 97767475431570134191, 9613801750771063195351
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Let Pr(n)= the product of first n primes. Then a(n) is the smallest prime of the form k*Pr(n) + 1. k = 1 for first five terms.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..150
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PROGRAM
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(PARI) a(n)=if(n<0, 0, s=1; while(prime(s)%prod(i=1, n, prime(i))>1, s++); s)
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CROSSREFS
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Cf. A073915.
Sequence in context: A093441 A087864 A066676 this_sequence A030521 A105767 A063896
Adjacent sequences: A073914 A073915 A073916 this_sequence A073918 A073919 A073920
Cf. A076689 (values of k)
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 18 2002
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 20 2002
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