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For k > 1, numbers k such that the digit 3 followed by k-2 occurrences of the digit 0 followed by the digits 17 is prime (see Example section).
Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/primedifficultyprime_difficulty.txt">Search for 30w17.</a>.
Initial terms and primes associated primes:
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Makoto Kamada, <a href="httphttps://stdkmd.comnet/nrr">Factorization of near-repdigit-related numbers</a>.
Makoto Kamada, <a href="httphttps://stdkmd.comnet/nrr/prime/primedifficulty.txt">Search for 30w17.</a>
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1, 2, 5, 6, 13, 17, 24, 29, 38, 43, 59, 92, 350, 365, 679, 1016, 2958, 4434, 6306, 8819, 11687, 13484, 22189, 43034, 69354, 78146, 78631, 150182
a(2829) > 2*10^5.
a(28) from Robert Price, Jul 27 2018
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