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A023324
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Primes that remain prime through 4 iterations of function f(x) = 9x + 2.
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3
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103, 283, 313, 929, 2549, 2593, 3931, 4091, 5279, 6781, 7759, 8363, 16229, 16493, 16703, 19961, 24071, 25733, 27059, 32191, 34961, 35381, 36341, 44131, 50093, 52973, 59671, 66179, 69833, 69931, 75853, 90031, 92993, 93371, 101879, 103561, 106949
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OFFSET
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1,1
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COMMENTS
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Primes p such that 9*p+2, 81*p+20, 729*p+182 and 6561*p+1640 are also primes. - Vincenzo Librandi, Aug 04 2010
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LINKS
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MATHEMATICA
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Select[Prime[Range[11000]], AllTrue[Rest[NestList[9#+2&, #, 4]], PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Feb 12 2015 *)
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PROG
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(Magma) [n: n in [1..5000000] | IsPrime(n) and IsPrime(9*n+2) and IsPrime(81*n+20) and IsPrime(729*n+182) and IsPrime(6561*n+1640)] // Vincenzo Librandi, Aug 04 2010
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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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