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A023335
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Primes that remain prime through 5 iterations of function f(x) = 3x + 2.
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1
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10009, 575119, 724499, 1373819, 1725359, 3188569, 3715669, 4980499, 5939779, 9202199, 9565709, 13707469, 14483839, 14886829, 15412739, 16158589, 16740709, 18207349, 19429409, 22428209, 22602719, 22722419, 22749019, 22877119, 24171209
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OFFSET
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1,1
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COMMENTS
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Primes p such that 3*p+2, 9*p+8, 27*p+26, 81*p+80 and 243*p+242 are also primes. - Vincenzo Librandi, Aug 04 2010
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LINKS
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MATHEMATICA
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p5Q[n_]:=And@@PrimeQ[Rest[NestList[3#+2&, n, 5]]]; Select[ Prime[ Range[ 1600000]], p5Q] (* Harvey P. Dale, May 02 2011 *)
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PROG
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(Magma) [p: p in PrimesUpTo(25*10^6) | forall{k: k in [1..5] | IsPrime((p+1)*3^k-1)}]; // Bruno Berselli, May 03 2011
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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