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Search: id:A058055
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A058055 a(n) is the smallest positive number m such that m^2+n is a prime. +0
1
1, 3, 8, 5, 12, 11, 18, 51, 82, 49, 234, 23, 42, 75, 86, 231, 174, 107, 288, 63, 80, 69, 102, 325, 166, 765, 128, 143, 822, 727, 276, 597, 226, 835, 702, 461, 254, 693, 592, 797, 1284, 349, 370, 2337, 596, 645, 3012, 1033, 590, 4083, 1490, 757, 882, 833 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=Min{ m>0 | m^2+n is prime}

EXAMPLE

n=6: a(6)=11 and 11^2+6 is 127, a prime; n=97: a(97)=2144 and 2144^2+97=4596833, the least prime of the form m^2+97.

CROSSREFS

Cf. A053000.

Sequence in context: A140385 A078361 A077151 this_sequence A078356 A050093 A120072

Adjacent sequences: A058052 A058053 A058054 this_sequence A058056 A058057 A058058

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Nov 20 2000

EXTENSIONS

Definition corrected by Zak Seidov, Mar 03 2008

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.


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