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A106790 Smallest k>0 such that binomial(n,k) + 1 is prime. +0
1
1, 1, 3, 1, 2, 1, 7, 2, 2, 1, 4, 1, 2, 5, 15, 1, 2, 1, 4, 2, 2, 1, 23, 2, 6, 4, 4, 1, 7, 1, 31, 10, 6, 10, 4, 1, 18, 15, 9, 1, 2, 1, 17, 2, 2, 1, 23, 2, 4, 20, 6, 1, 6, 8, 10, 6, 2, 1, 59, 1, 2, 25, 63, 2, 2, 1, 67, 8, 2, 1 (list; graph; listen)
OFFSET

1,3

COMMENT

a(n) <= n; for primes p: a(p-1) = 1.

The values of n for which a(n)=n yield the sequence A067317. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 27 2007

MAPLE

a:=proc(n) local k: for k while isprime(1+binomial(n, k))=false do end do: k end proc: seq(a(n), n=1..70); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 27 2007

CROSSREFS

Cf. A000040, A067317.

Adjacent sequences: A106787 A106788 A106789 this_sequence A106791 A106792 A106793

Sequence in context: A039620 A008296 A140185 this_sequence A078897 A011086 A103514

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 16 2005

EXTENSIONS

Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 27 2007

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Last modified November 9 12:23 EST 2009. Contains 166233 sequences.


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