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A082705 Numbers k such that (29*10^(k-1) + 7)/9 is a depression prime. 1

%I #19 Nov 10 2019 01:32:50

%S 7,9,895,1525,3037,21157

%N Numbers k such that (29*10^(k-1) + 7)/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#pdp323">PDP Reference Table - 323</a>.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/3/32223.htm#prime">Prime numbers of the form 322...223</a>.

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

%F a(n) = A056252(n) + 2.

%e k=9 -> (29*10^(9-1) + 7)/9 = 322222223.

%Y Cf. A082697-A082720, A056252.

%K nonn,base,hard,more

%O 1,1

%A _Patrick De Geest_, Apr 13 2003

%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

%E Edited by _Ray Chandler_, Nov 05 2014

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)