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A082715 Numbers k such that (71*10^(k-1) - 17)/9 is a plateau prime. 1

%I #34 Nov 10 2019 01:33:42

%S 3,5,87,113,171,567,1689,8903,115811

%N Numbers k such that (71*10^(k-1) - 17)/9 is a plateau prime.

%C Prime versus probable prime status and proofs are given in the author's table.

%D C. Caldwell and H. Dubner, The near repdigit primes A(n-k-1)B(1)A(k), especially 9(n-k-1)8(1)9(k), Journal of Recreational Mathematics, Volume 28, No. 1, 1996-97, pp. 1-9.

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/deplat.htm#pdp787">PDP Reference Table - 787</a>.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/7/78887.htm#prime">Prime numbers of the form 788...887</a>.

%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>.

%F a(n) = A056262(n) + 2.

%e k=5 -> (71*10^(5-1) - 17)/9 = 78887.

%Y Cf. A082697-A082720, A056262.

%K nonn,base,hard,more

%O 1,1

%A _Patrick De Geest_, Apr 13 2003

%E 115811 from _Ray Chandler_, Aug 05 2011

%E a(2)=5 corrected by _Patrick De Geest_, Apr 28 2013

%E Edited by _Ray Chandler_, Nov 05 2014

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Last modified May 5 04:35 EDT 2024. Contains 372257 sequences. (Running on oeis4.)