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Search: id:A079544
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| A079544 |
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Primes of the form x^2 + y^2 + 1, x>0, y>0. |
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+0
3
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| 3, 11, 19, 41, 53, 59, 73, 83, 101, 107, 131, 137, 149, 163, 179, 181, 227, 233, 251, 293, 307, 347, 389, 401, 443, 467, 491, 521, 523, 563, 587, 593, 613, 641, 677, 739, 773, 809, 811, 821, 883
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sequence is known to be infinite.
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REFERENCES
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D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, p. 11.
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MATHEMATICA
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iMax=7!; a=Floor[Sqrt[iMax]]; lst={}; Do[Do[p=x^2+y^2+1; If[PrimeQ@p&&p<=iMax, AppendTo[lst, p]], {y, 1, a}], {x, 1, a}]; Union[lst] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 11 2009]
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CROSSREFS
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Cf. A079545.
Sequence in context: A138725 A138726 A161429 this_sequence A163183 A007520 A163851
Adjacent sequences: A079541 A079542 A079543 this_sequence A079545 A079546 A079547
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 23 2003
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