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A288655
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Numbers k such that 10^k - 701 is prime.
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0
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7, 13, 22, 28, 29, 49, 53, 70, 124, 151, 287, 394, 400, 946, 979, 1270, 3857, 3944, 5435, 9125, 9589, 49711, 51091, 56849
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OFFSET
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1,1
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COMMENTS
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For k>2, numbers such that k-3 occurrences of the digit 9 followed by the digits 299 is prime (see Example section).
a(25) > 2*10^5.
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LINKS
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EXAMPLE
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7 is in this sequence because 10^7 - 701 = 9999299 is prime.
Initial terms and primes associated:
a(1) = 7, 9999299;
a(2) = 13, 9999999999299;
a(3) = 22, 9999999999999999999299;
a(4) = 28, 9999999999999999999999999299;
a(5) = 29, 99999999999999999999999999299; etc.
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MATHEMATICA
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Select[Range[3, 100000], PrimeQ[10^# - 701] &]
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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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