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A282250
Numbers k such that 7*10^k + 79 is prime.
0
1, 3, 4, 5, 29, 40, 46, 64, 75, 235, 640, 654, 670, 719, 863, 1186, 1220, 1390, 1886, 2894, 2934, 3523, 3856, 4349, 4750, 16781, 22666, 37540, 38525, 41499, 73888, 81058, 115561
OFFSET
1,2
COMMENTS
For k > 1, numbers k such that the digit 7 followed by k-2 occurrences of the digit 0 followed by the digits 79 is prime (see Example section).
a(34) > 2*10^5.
EXAMPLE
4 is in this sequence because 7*10^4 + 79 = 70079 is prime.
Initial terms and associated primes:
a(1) = 1, 149;
a(2) = 3, 7079;
a(3) = 4, 70079;
a(4) = 5, 700079;
a(5) = 29, 700000000000000000000000000079; etc.
MATHEMATICA
Select[Range[0, 100000], PrimeQ[7*10^# + 79] &]
KEYWORD
nonn,more,hard
AUTHOR
Robert Price, Feb 09 2017
EXTENSIONS
a(33) from Robert Price, Jul 08 2019
STATUS
approved