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A286092
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Numbers k such that (199*10^k + 11)/3 is prime.
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0
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2, 3, 8, 10, 13, 19, 20, 26, 37, 39, 232, 308, 381, 382, 706, 872, 1707, 1929, 2195, 9211, 15567, 58306
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OFFSET
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1,1
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COMMENTS
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For k>0, numbers such that the digits 66 followed by k-1 occurrences of the digit 3 followed by the digit 7 is prime (see Example section).
a(23) > 2*10^5.
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LINKS
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EXAMPLE
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3 is in this sequence because (199*10^3 + 11)/3 = 66337 is prime.
Initial terms and primes associated:
a(1) = 2, 6637;
a(2) = 3, 66337;
a(3) = 8, 6633333337;
a(4) = 10, 663333333337;
a(5) = 13, 663333333333337; etc.
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MATHEMATICA
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Select[Range[0, 100000], PrimeQ[(199*10^# + 11)/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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