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A099190 Numbers n such that 8*10^n-7 is prime. +0
6
1, 3, 5, 6, 10, 12, 13, 39, 48, 54, 64, 82, 147, 148, 360, 399, 1638, 1876, 2146, 2194 (list; graph; listen)
OFFSET

1,2

COMMENT

Also numbers n such that 7*10^n + 9*R_n - 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n.

Primes of the form 7*10^n+9R_n-6 are the only primes which are one more than twice their reversal.

LINKS

Makoto Kamada, Factorizations of 799...993.

Erich Friedman, What's Special About This Number?.

Index entries for primes involving repunits.

EXAMPLE

73, 7993, 799993, 7999993, etc. are primes.

MATHEMATICA

Do[ If[ PrimeQ[8*10^n - 7], Print[n]], {n, 10000}]

CROSSREFS

Cf. A099181.

Sequence in context: A072282 A047327 A028927 this_sequence A122772 A140449 A115823

Adjacent sequences: A099187 A099188 A099189 this_sequence A099191 A099192 A099193

KEYWORD

more,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 01 2004

EXTENSIONS

a(19) & a(20) from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 19 2005

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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