Search: id:A141293
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%I A141293
%S A141293 13,29,41,53,61,73,89,97,109,113,137,149,157,173,181,193,229,233,241,269,
%T A141293 277,281,293,313,317,337,349,353,373,389,397,409,421,433,449,457,461,509,
%U A141293 521,541,557,569,593,601,613,617,641,653,661,673,701,709,733,757,761,769
%N A141293 Prime factors of numbers of the form x^2 + 1 which themselves are not 
               of this form.
%C A141293 Equivalently, primes p == 1 mod 4 which are not of the form k^2 + 1.
%C A141293 Same as A002144 with A002496 removed.
%D A141293 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.
%t A141293 Complement[Select[4*Range[400]+1, PrimeQ], Select[Range[40]^2+1, PrimeQ]] 
               - T. D. Noe (noe(AT)sspectra.com), Jun 27 2008
%Y A141293 Cf. A002144, A002145, A002496.
%Y A141293 Sequence in context: A141555 A036974 A045472 this_sequence A120827 A044074 
               A044455
%Y A141293 Adjacent sequences: A141290 A141291 A141292 this_sequence A141294 A141295 
               A141296
%K A141293 nonn
%O A141293 1,1
%A A141293 A. K. Devaraj (dkandadai(AT)yahoo.com), Jun 23 2008
%E A141293 Corrected and extended by T. D. Noe and N. J. A. Sloane (njas(AT)research.att.com), 
               Jun 27 2008

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