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A291609
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Numbers k such that (49*10^k - 67)/9 is prime.
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1
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1, 3, 4, 7, 10, 24, 37, 46, 63, 64, 91, 114, 367, 453, 1156, 1347, 1524, 7153, 10893, 13548, 15153, 43093, 61167, 184993
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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 37 is prime (see Example section).
a(25) > 2*10^5.
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LINKS
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EXAMPLE
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4 is in this sequence because (49*10^4 - 67)/9 = 54437 is prime.
Initial terms and primes associated:
a(1) = 1, 47;
a(2) = 3, 5437;
a(3) = 4, 54437;
a(4) = 7, 54444437;
a(5) = 10, 54444444437; etc.
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MATHEMATICA
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Select[Range[1, 100000], PrimeQ[(49*10^# - 67)/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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