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A354829
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Numbers k such that 2^k + 3^k + 6 is prime.
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0
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1, 2, 3, 4, 5, 8, 9, 15, 18, 23, 24, 33, 34, 35, 44, 63, 88, 89, 120, 220, 228, 229, 570, 1095, 1863, 2094, 2718, 3598, 4658, 6056, 8819, 9485, 11220, 23656, 28762, 35664, 36544, 39779, 46868, 50098, 58853
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OFFSET
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1,2
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COMMENTS
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a(34) > 17000.
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LINKS
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EXAMPLE
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For k=1 we obtain f(1) = 2^1 + 3^1 + 6 = 11 which is a prime.
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MATHEMATICA
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Select[Range[1, 1000], PrimeQ[2^# + 3^# + 6] &]
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PROG
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(Python)
from sympy import isprime
from itertools import count, islice
def agen(): yield from (k for k in count(1) if isprime(2**k+3**k+6))
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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