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A060397 Smallest prime that divides k^2 + k + 2n + 1 for k = 0,1,2,.... +0
2
3, 3, 5, 3, 3, 11, 3, 3, 17, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 41, 3, 3, 7, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 7, 3, 3, 7, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 11, 3, 3, 7, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 7, 3, 3, 11, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 7, 3, 3, 11, 3, 3, 5, 3, 3, 5, 3, 3, 5, 3, 3, 7, 3, 3, 7, 3, 3 (list; graph; listen)
OFFSET

0,1

COMMENT

Bisection of A060395.

LINKS

T. D. Noe, Table of n, a(n) for n=0..10000

Matthew M. Conroy, Home page (listed instead of email address)

C. Rivera, www.primepuzzles.net, Conjecture 17

FORMULA

a(n)=3 if n is equal to 0 or 1 mod 3.

EXAMPLE

To obtain a(3), note that x^2+x+7 takes the values 7,9,13,19,... for k=0,1,2,... and the smallest prime dividing these numbers is 3.

CROSSREFS

Cf. A060380, A060392-A060398. A060398 gives values of k.

Sequence in context: A063714 A113965 A162277 this_sequence A014780 A073081 A094928

Adjacent sequences: A060394 A060395 A060396 this_sequence A060398 A060399 A060400

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 04 2001

EXTENSIONS

More terms from Matthew M. Conroy, Apr 18 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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