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For k > 1, numbers k such that the digit 4 followed by k-2 occurrences of the digit 7 followed by the digits 33 is prime (see Example section).
Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/primedifficultyprime_difficulty.txt">Search for 47w33.</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 47w33.</a>
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select(k->isprime((43*10^k-403)/9), [$1..1000]); # Muniru A Asiru, Jan 05 2019
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1, 2, 3, 6, 11, 20, 23, 24, 26, 36, 56, 224, 411, 543, 611, 1541, 1632, 3719, 3888, 4917, 11454, 24275, 51816, 58563, 119024
a(2526) > 2*10^5.
a(25) from Robert Price, Jan 04 2019
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