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A285571
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Numbers k such that (49*10^k + 383)/9 is prime.
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0
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1, 2, 5, 10, 19, 43, 64, 71, 127, 181, 370, 373, 742, 1085, 1171, 1438, 2038, 2269, 2819, 4802, 7742, 12010, 47120, 55129, 139442, 186409
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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 4 followed by the digits 87 is prime (see Example section).
a(27) > 2*10^5.
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LINKS
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EXAMPLE
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4 is in this sequence because (49*10^5 + 383)/9 = 544487 is prime.
Initial terms and primes associated:
a(1) = 1, 97;
a(2) = 2, 587;
a(3) = 5, 544487;
a(4) = 10, 54444444487;
a(5) = 19, 54444444444444444487; etc.
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MATHEMATICA
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Select[Range[0, 100000], PrimeQ[(49*10^# + 383)/9] &]
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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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