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A175160
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Primes p such that 2*p+3, 4*p+9, 8*p+21, 16*p+45, 32*p+93 and 64*p+189 are also prime.
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2
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6047, 477727, 507757, 955457, 1015517, 1360367, 1766357, 2224517, 2859977, 9628837, 13462777, 14757047, 16287247, 16878397, 18246997, 21026657, 22482767, 22892197, 23389517, 30596497, 31932227, 33145687, 35764397, 36180527, 36909277, 42627197
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OFFSET
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1,1
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COMMENTS
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The coefficients of p in the definition are powers of 2; the constants in the definition are terms of A068156. [Harvey P. Dale, Mar 31 2012]
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LINKS
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EXAMPLE
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For n=6047, (12097, 24197, 48397, 96797, 193597, 387197) are prime.
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MATHEMATICA
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okQ[n_]:=And@@PrimeQ[{3+2*n, 9+4*n, 21+8*n, 45+16*n, 93+32*n, 189+64*n}]; Select[Prime[Range[2220000]], okQ] (* Harvey P. Dale, Mar 31 2012 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(50000000) | IsPrime(p) and IsPrime(2*p+3) and IsPrime(4*p+9) and IsPrime(8*p+21) and IsPrime(16*p+45) and IsPrime(32*p+93) and IsPrime(64*p+189)]
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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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