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A056718 Numbers n such that (61*10^n-7)/9 is prime. +0
2
1, 2, 4, 10, 13, 25, 115, 179, 181, 238, 785, 799, 1193, 1730, 1811, 1871, 2116, 2180, 17878, 22093 (list; graph; listen)
OFFSET

1,2

COMMENT

Or, numbers n such that 6*10^n + 7*R_n is prime, where R_n = 11...1 is the repunit (A002275) of length n.

LINKS

Makoto Kamada, Factorizations of 677...77

Maksym Voznyy, Primo certificate for 2116

Maksym Voznyy, Primo certificate for 2180

Index entries for primes involving repunits

MATHEMATICA

Do[ If[ PrimeQ[ 6*10^n + 7*(10^n-1)/9], Print[n]], {n, 0, 5000}]

CROSSREFS

Sequence in context: A100912 A026224 A034233 this_sequence A057283 A082230 A107992

Adjacent sequences: A056715 A056716 A056717 this_sequence A056719 A056720 A056721

KEYWORD

hard,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 11 2000

EXTENSIONS

The PRP's corresponding to 2116 and 2180 have been proved to be prime by Maksym Voznyy (mvoznyy0526(AT)rogers.com), Jan 05 2008, who has has found 2 new PRP's, 17878 and 22093.

Definition corrected by njas, Jan 05 2008

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Last modified September 5 17:15 EDT 2008. Contains 143476 sequences.


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