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A082712 Numbers k such that (67*10^(k-1) + 23)/9 is a depression prime. 1

%I #22 Nov 10 2019 01:33:34

%S 11,31,121,485,1487,1579,13673,13811,15095,72773,94212

%N Numbers k such that (67*10^(k-1) + 23)/9 is a depression prime.

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

%D C. Caldwell and H. Dubner, "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#pdp747">PDP Reference Table - 747</a>.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/7/74447.htm#prime">Prime numbers of the form 744...447</a>.

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

%F a(n) = A056258(n) + 2.

%e k=11 -> (67*10^(11-1) + 23)/9 = 74444444447.

%Y Cf. A082697-A082720, A056258.

%K nonn,base,hard,more

%O 1,1

%A _Patrick De Geest_, Apr 13 2003

%E a(10)=72773 from _Ray Chandler_, Nov 16 2010

%E a(11)=94212 from _Ray Chandler_, Feb 21 2011

%E Edited by _Ray Chandler_, Nov 05 2014

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Last modified May 15 10:29 EDT 2024. Contains 372540 sequences. (Running on oeis4.)