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A293592
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Numbers k such that 3*10^k - 59 is prime.
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0
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2, 5, 7, 55, 70, 188, 248, 273, 385, 416, 479, 530, 574, 892, 1833, 4057, 4299, 6188, 14699, 21121, 88293, 89608, 95776, 162620, 196881
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OFFSET
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1,1
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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 9 followed by the digits 41 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 (3*10^2 - 59)/3 = 241 is prime.
Initial terms and primes associated:
a(1) = 2, 241;
a(2) = 5, 299941;
a(3) = 7, 29999941;
a(4) = 55, 29999999999999999999999999999999999999999999999999999941; etc.
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MATHEMATICA
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Select[Range[2, 100000], PrimeQ[(3*10^# - 59)/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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