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A098025
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p and 2p-1 are both Pythagorean primes, i.e. congruent to 1 (mod 4).
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0
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37, 97, 157, 229, 337, 577, 601, 661, 829, 877, 937, 997, 1009, 1069, 1237, 1297, 1429, 1609, 1657, 2029, 2089, 2137, 2221, 2281, 2557, 2617, 3037, 3061, 3109, 3169, 3181, 3529, 3697, 3709, 3769, 3877, 4177, 4261, 4357, 4621, 4801, 4861, 4909, 5557, 5581
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The product p*(2p-1) generates a family of base-2 pseudoprimes (i.e.a subsequence of A001567).
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REFERENCES
| J.-M. De Koninck and A.Mercier, 1001 Problemes en Theorie Classique Des Nombres, Problem 878 pp. 108;353, Ellipses Paris 2004.
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MATHEMATICA
| Select[ Prime[ Range[1000]], Mod[#, 4] == 1 && PrimeQ[2 #-1] && Mod[2 #-1, 4] == 1 & ] (* From Jean-François Alcover, Sep 14 2011 *)
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CROSSREFS
| Sequence in context: A117854 A145480 A033222 * A142793 A139939 A159231
Adjacent sequences: A098022 A098023 A098024 * A098026 A098027 A098028
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KEYWORD
| nonn
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AUTHOR
| Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 10 2004
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EXTENSIONS
| More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 16 2004
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