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A291867
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Numbers k such that (17*10^k - 41)/3 is prime.
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0
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1, 3, 5, 7, 13, 18, 45, 73, 165, 174, 298, 502, 563, 901, 1033, 1164, 1181, 2040, 4165, 20389, 23608, 34542, 88761
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OFFSET
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1,2
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COMMENTS
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For k>1, numbers such that the digit 5 followed by k-2 occurrences of the digit 6 followed by the digits 53 is prime (see Example section).
a(24) > 2*10^5.
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LINKS
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EXAMPLE
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3 is in this sequence because (17*10^3 - 41)/3 = 5653 is prime.
Initial terms and primes associated:
a(1) = 1, 43;
a(2) = 3, 5653;
a(3) = 5, 566653;
a(4) = 7, 56666653;
a(5) = 13, 56666666666653; etc.
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MATHEMATICA
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Select[Range[1, 100000], PrimeQ[(17*10^# - 41)/3] &]
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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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STATUS
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approved
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