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A102742
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Elite primes: a prime number p is called elite if only a finite number of Fermat numbers 2^(2^n)+1 are quadratic residues mod p.
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3
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3, 5, 7, 41, 15361, 23041, 26881, 61441, 87041, 163841, 544001, 604801, 6684673, 14172161, 159318017, 446960641, 1151139841, 3208642561, 38126223361, 108905103361, 171727482881, 318093312001, 443069456129, 912680550401, 1295536619521, 1825696645121, 2061584302081
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Alexander Aigner; Ueber Primzahlen, nach denen (fast) alle Fermatzahlen quadratische Nichtreste sind. Monatsh. Math. 101 (1986), pp. 85-93
Alain Chaumont and Tom Mueller, All Elite Primes Up to 250 Billion, Journal of Integer Sequences, Vol. 9 (2006), Article 06.3.8.
Tom Mueller, Searching for large elite primes, Experimental Mathematics 15:2 (2006), 183-186.
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LINKS
| Dennis Martin, Table of n, a(n) for n = 1..29
Alain Chaumont and Tom Mueller, All Elite Primes Up to 250 Billion, J. Integer Sequences, Vol. 9 (2006), Article 06.3.8.
Michal Křížek, Florian Luca, Igor E. Shparlinski, and Lawrence Somer, On the complexity of testing elite primes, Journal of Integer Sequences 14 (2011), Article 11.1.2, 5 pp.
Dennis Martin, Elite Prime Search [From Dennis Martin (dennis.martin(AT)dptechnology.com), Dec 18 2008]
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CROSSREFS
| Sequence in context: A163797 A130536 A146972 * A089044 A117646 A064857
Adjacent sequences: A102739 A102740 A102741 * A102743 A102744 A102745
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KEYWORD
| nonn
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AUTHOR
| Tom Mueller (muel4503(AT)uni-trier.de), Feb 08 2005; extended Jun 16 2005
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EXTENSIONS
| a(17) from Tom Mueller (muel4503(AT)uni-trier.de), Jul 20 2005
a(18)-a(21) from Tom Mueller (muel4503(AT)uni-trier.de), Apr 18 2006
6 further terms from Tom Mueller (muel4503(AT)uni-trier.de), Apr 16 2007
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