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A033205
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Primes of form x^2+5*y^2.
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13
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5, 29, 41, 61, 89, 101, 109, 149, 181, 229, 241, 269, 281, 349, 389, 401, 409, 421, 449, 461, 509, 521, 541, 569, 601, 641, 661, 701, 709, 761, 769, 809, 821, 829, 881, 929, 941, 1009, 1021, 1049, 1061, 1069
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Primes congruent to 1,5,9 modulo 20. - Michael Somos Aug 13 2006
Or, 5 and all primes p that divide Fibonacci[(p-1)/2] = A121568[n]. - Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 07 2006
Except for 5, also primes of the form x^2+25y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008
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REFERENCES
| D. Cox, "Primes of Form x^2 + n y^2", Wiley, 1989.
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LINKS
| B. W. Brewer, On primes of the form u^2+5v^2, Am. Math. Monthly vol. 17 no 2 (1966) pp 502-509.
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FORMULA
| A020669 INTERSECT A000040.
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MATHEMATICA
| QuadPrimes[1, 0, 5, 10000] (* see A106856 *)
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CROSSREFS
| Cf. A121568.
Cf. A139643.
Sequence in context: A115279 A087879 A091729 * A167742 A107151 A117746
Adjacent sequences: A033202 A033203 A033204 * A033206 A033207 A033208
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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