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A002957 Numbers k such that 2*10^k - 1 is prime.
(Formerly M0680)
11
1, 2, 3, 5, 7, 26, 27, 53, 147, 236, 248, 386, 401, 546, 785, 1325, 1755, 2906, 3020, 5407, 5697, 5969, 7517, 15749, 19233, 38232, 55347, 1059002 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Also numbers k such that 10^k + 9*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.
Serge Batalov discovered that 1059002 belongs to this sequence but may not be the next term. - Max Alekseyev, Sep 30 2013
a(28) > 410000 (from Kamada data). - Robert Price, Oct 19 2014
Rytis Slatkevičius proved there are no undiscovered terms up to 1059002, so that term has now been added as a(28). - Jeppe Stig Nielsen, Jan 17 2023
REFERENCES
H. Riesel, "Prime numbers and computer methods for factorization," Progress in Mathematics, Vol. 57, Birkhauser, Boston, 1985, Page 162.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
C. R. Zarnke and H. C. Williams, Computer determination of some large primes, pp. 563-570 in Proceedings of the Louisiana Conference on Combinatorics, Graph Theory and Computer Science. Vol. 2, edited R. C. Mullin et al., 1971.
LINKS
Chris K. Caldwell, Prime Pages, Search output 2*10^?-1
MATHEMATICA
Do[ If[ PrimeQ[ 2*10^n - 1], Print[n] ], {n, 1, 15000} ]
PROG
(PARI) for(n=1, 10^5, if(ispseudoprime(2*10^n-1), print1(n, ", "))) \\ Felix Fröhlich, Jun 23 2014
CROSSREFS
Sequence in context: A249509 A085907 A024777 * A333955 A333960 A273726
KEYWORD
hard,nonn,more
AUTHOR
EXTENSIONS
Corrected and extended by Robert G. Wilson v, Feb 02 2001
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
a(28) from Jeppe Stig Nielsen, Jan 17 2023
STATUS
approved

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Last modified May 18 08:45 EDT 2024. Contains 372618 sequences. (Running on oeis4.)