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A105389
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Primes of the form x^2 + 32 y^2, also primes p with h(-p) divisible by 8.
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3
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41, 113, 137, 257, 313, 337, 353, 409, 457, 521, 569, 577, 593, 761, 809, 857, 881, 953, 1129, 1153, 1201, 1217, 1249, 1321, 1553, 1601, 1657, 1777, 1889, 1993
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Barrucand, P. and Cohn, H. Note on primes of the form x^2 + 32 y^2, class number and residuacity, Journal fur die reine und angewandte Mathematik, v.238, pp. 67-70.
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LINKS
| S. R. Finch, Powers of Euler's q-Series, (arXiv:math.NT/0701251).
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EXAMPLE
| 41 = 9 + 32 * 1, 113 = 81 + 32 *1, 137 = 9 + 32*4
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MATHEMATICA
| QuadPrimes[1, 0, 32, 10000] (* see A106856 *)
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CROSSREFS
| Sequence in context: A070270 A001125 A116509 * A191867 A195317 A044292
Adjacent sequences: A105386 A105387 A105388 * A105390 A105391 A105392
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KEYWORD
| nonn
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AUTHOR
| John L. Drost (drost(AT)marshall.edu), May 01 2005
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