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For k > 1, numbers k such that the digit 8 followed by k-2 occurrences of the digit 3 followed by the digits 57 is prime (see Example section).
Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/primedifficultyprime_difficulty.txt">Search for 83w57</a>.
Initial terms and primes associated primes:
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a(26) > 2*10^5.
Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/primedifficulty.txt">Search for 83w57.</a>.
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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 83w57.</a>
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