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A105389 Primes of the form x^2 + 32 y^2, also primes p with h(-p) divisible by 8. +0
4
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; listen)
OFFSET

1,1

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.

LINKS

S. R. Finch, Powers of Euler's q-Series, (arXiv:math.NT/0701251).

EXAMPLE

41 = 9 + 32 * 1, 113 = 81 + 32 *1, 137 = 9 + 32*4

CROSSREFS

Sequence in context: A070270 A001125 A116509 this_sequence A044292 A044673 A135793

Adjacent sequences: A105386 A105387 A105388 this_sequence A105390 A105391 A105392

KEYWORD

nonn

AUTHOR

John L. Drost (drost(AT)marshall.edu), May 01 2005

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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