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Search: id:A122429
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| A122429 |
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Primes p such that q=4p^2+1, r=4q^2+1 and s=4r^2+1 are all primes. |
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| 13, 9833, 41647, 151607, 264757, 356123, 361223, 446863, 449093, 457813, 531383, 641057, 655927, 841697, 855947, 899263, 913687, 1052813, 1081757, 1379383, 1506493, 1575757, 1685087, 1821013, 1821377, 1981517, 2054233, 2142037
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Next terms up to 400000th prime are 2286877, 2524157, 2595247, 2621737, 2931583, 3023437, 3425843, 3428567, 3538517, 3705187, 3777883, 3799717, 3875143, 3913727, 3973553, 4019833, 4167073, 4249523, 4488167, 4651873, 4822193, 4914937, 5054167, 5108293, 5140147, 5465303, 5520007, 5542003 [Zak Seidov (zakseidov(AT)yahoo.com), Jan 16 2009]
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EXAMPLE
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13 is there because 13, 677, 1833317 and 13444204889957 are primes.
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MATHEMATICA
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Reap[Do[p=Prime[n]; q=4p^2+1; r=4q^2+1; s=4r^2+1; If[PrimeQ[{q, r, s}]=={True, True, True}, Sow[p]], {n, 15000}]][[2, 1]]
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CROSSREFS
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Cf. A052291, A005574, A001912.
Sequence in context: A032463 A060887 A020521 this_sequence A068731 A098562 A123921
Adjacent sequences: A122426 A122427 A122428 this_sequence A122430 A122431 A122432
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Oct 20 2006
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EXTENSIONS
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More terms from Don Reble (djr(AT)nk.ca), Oct 24 2006
Edited by R. J. Mathar, Nov 02 2009
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