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Search: id:A141293
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| A141293 |
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Prime factors of numbers of the form x^2 + 1 which themselves are not of this form. |
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+0
2
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| 13, 29, 41, 53, 61, 73, 89, 97, 109, 113, 137, 149, 157, 173, 181, 193, 229, 233, 241, 269, 277, 281, 293, 313, 317, 337, 349, 353, 373, 389, 397, 409, 421, 433, 449, 457, 461, 509, 521, 541, 557, 569, 593, 601, 613, 617, 641, 653, 661, 673, 701, 709, 733, 757, 761, 769
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Equivalently, primes p == 1 mod 4 which are not of the form k^2 + 1.
Same as A002144 with A002496 removed.
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REFERENCES
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A. K. Devaraj, "Euler's Generalization of Fermat's Theorem-A Further Generalization", in ISSN #1550-3747, Proceedings of Hawaii Intl Conference on Statistics, Mathematics & Related Fields, 2004.
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MATHEMATICA
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Complement[Select[4*Range[400]+1, PrimeQ], Select[Range[40]^2+1, PrimeQ]] - T. D. Noe (noe(AT)sspectra.com), Jun 27 2008
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CROSSREFS
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Cf. A002144, A002145, A002496.
Sequence in context: A141555 A036974 A045472 this_sequence A120827 A044074 A044455
Adjacent sequences: A141290 A141291 A141292 this_sequence A141294 A141295 A141296
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KEYWORD
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nonn
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AUTHOR
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A. K. Devaraj (dkandadai(AT)yahoo.com), Jun 23 2008
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EXTENSIONS
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Corrected and extended by T. D. Noe and njas, Jun 27 2008
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