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A236692
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Numbers n such that n+1, 2n+1 and n^2+1 are primes.
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1
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1, 2, 6, 36, 156, 210, 270, 306, 576, 690, 936, 966, 2136, 2310, 2550, 2706, 2850, 3390, 3966, 4026, 4176, 4260, 4566, 4590, 5226, 5430, 5850, 6120, 6216, 6360, 6420, 6546, 7410, 7536, 8940, 9126, 9240, 9276, 9900, 10530, 10836, 11286, 11586, 11886, 12390, 13680
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OFFSET
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1,2
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COMMENTS
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LINKS
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MATHEMATICA
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Select[Range[14000], AllTrue[{#+1, 2#+1, #^2+1}, PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Dec 27 2019 *)
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PROG
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(Python)
import sympy
from sympy import isprime
for n in range(100000):
if isprime(n+1) and isprime(n*2+1) and isprime(n*n+1): print str(n)+', ',
(PARI)
s=[]; for(n=1, 15000, if(isprime(n+1)&&isprime(2*n+1)&&isprime(n^2+1), s=concat(s, n))); s \\ Colin Barker, Jan 30 2014
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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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