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Numbers k such that (17*10^(k-1) - 71)/9 is a plateau prime.
2

%I #19 Nov 09 2019 04:16:54

%S 3,9,15,41,93,129,885,9425,14769,19259,31235

%N Numbers k such that (17*10^(k-1) - 71)/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, "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#pdp181">PDP Reference Table - 181</a>.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/1/18881.htm#prime">Prime numbers of the form 188...881</a>.

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

%F a(n) = A056249(n+1) + 2.

%e k=15 -> (17*10^(15-1) - 71)/9 = 188888888888881.

%Y Cf. A082697-A082720, A056249.

%K nonn,base,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 04 2014