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A293683
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Numbers k such that (7*10^k + 53)/3 is prime.
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0
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1, 2, 3, 7, 20, 28, 32, 35, 48, 193, 332, 359, 444, 568, 763, 1414, 10964, 13703, 15420, 27384, 49404, 62362, 65064, 104113, 187645
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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 2 followed by k-2 occurrences of the digit 3 followed by the digits 51 is prime (see Example section).
a(26) > 2*10^5.
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LINKS
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EXAMPLE
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2 is in this sequence because (7*10^2 + 53)/3 = 251 is prime.
Initial terms and primes associated:
a(1) = 1, 41;
a(2) = 2, 251;
a(3) = 3, 2351;
a(4) = 7, 23333351;
a(5) = 20, 233333333333333333351; etc.
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MATHEMATICA
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Select[Range[0, 100000], PrimeQ[(7*10^# + 53)/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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EXTENSIONS
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STATUS
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approved
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