A262937 Numbers k such that (28*10^k - 13) / 3 is prime.
0, 1, 2, 4, 5, 8, 10, 14, 17, 20, 33, 64, 80, 152, 158, 166, 194, 196, 198, 901, 971, 1289, 1595, 2921, 14390, 28781, 35840
Offset: 1
Examples
2 is in this sequence because (28*10^2 - 13) / 3 = 929 is prime. Initial terms and associated primes: a(1) = 0, 5; a(2) = 1, 89; a(3) = 2, 929; a(4) = 4, 93329; a(5) = 5, 933329, etc.
Links
- Makoto Kamada, Factorization of near-repdigit-related numbers.
- Makoto Kamada, Search for 93w29.
Programs
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Mathematica
Select[Range[0, 100000], PrimeQ[(28*10^# - 13) / 3] &]
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PARI
is(n)=ispseudoprime((28*10^n - 13)/3) \\ Charles R Greathouse IV, Jun 13 2017
Comments