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A056714
Numbers k such that 5*10^k + 3*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.
1
0, 1, 3, 13, 25, 49, 143, 419, 1705, 13993, 35753, 40889
OFFSET
1,3
COMMENTS
Also numbers k such that (16*10^k - 1)/3 is prime.
5*10^a(n) + 3*(10^a(n) - 1)/9 is a solution for part (b) of questions of puzzle 244 from www.primepuzzles.net. If a(n) is greater than 5812 then a(n) is an example that is asked for in this question. - Farideh Firoozbakht, Dec 02 2003
MATHEMATICA
Do[ If[ PrimeQ[ 5*10^n + 3*(10^n-1)/9], Print[n]], {n, 0, 5000}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Aug 11 2000
EXTENSIONS
1705 from Farideh Firoozbakht, Dec 18 2003
13993, 35753 and 40889 from Serge Batalov, Jan 2009 confirmed as next terms by Ray Chandler, Feb 11 2012
STATUS
approved