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A064711
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Numbers n such that n^2 + prime(n) is a prime.
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6
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1, 2, 4, 8, 12, 14, 22, 30, 36, 38, 44, 50, 54, 60, 66, 74, 78, 84, 90, 96, 106, 134, 144, 156, 162, 168, 180, 188, 216, 222, 224, 234, 260, 264, 272, 308, 324, 336, 344, 366, 368, 374, 378, 390, 402, 406, 422, 466, 468, 476, 492, 498, 502, 516, 604, 624, 636
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OFFSET
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1,2
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LINKS
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EXAMPLE
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2 is in the sequence because 2^2 + Prime(2) = 4 + 3 = 7 is a prime.
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MATHEMATICA
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Select[ Range[ 1000 ], PrimeQ[ #^2 + Prime[ # ] ] & ]
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PROG
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(PARI) { n=0; for (m=1, 10^9, if (isprime(m^2 + prime(m)), write("b064711.txt", n++, " ", m); if (n==1000, break)) ) } \\ Harry J. Smith, Sep 23 2009
(Magma) [ n: n in [1..700] | IsPrime(n^2+NthPrime(n)) ]; // Klaus Brockhaus, Apr 12 2011
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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