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A165210 Primes of the form (6^m-1)/5. 5
7, 43, 55987, 7369130657357778596659, 3546245297457217493590449191748546458005595187661976371 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime repunits in base 6 whose representation consists of m 1's. The exponents m are in A004062. a(5) and a(6) have 55 and 99 decimal digits, respectively.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..9

FORMULA

a(n) = (6^A004062(n)-1)/5.

EXAMPLE

a(2) = (6^A004062(2)-1)/5 = (6^3-1)/5 = 215/5 = 43, which is 111 (base 6).

MATHEMATICA

Select[Table[(6^n-1)/5, {n, 0, 2000}], PrimeQ] (* Vincenzo Librandi, Dec 09 2011 *)

PROG

[a: n in [1..200] | IsPrime(a) where a is  (6^n-1) div 5 ]; // (MAGMA) Vincenzo Librandi, Dec 09 2011

CROSSREFS

Cf. A004062, A003464, A085104, A000668, A076481, A086122, A102170, A004022.

Sequence in context: A177507 A258182 A048605 * A162454 A203210 A026116

Adjacent sequences:  A165207 A165208 A165209 * A165211 A165212 A165213

KEYWORD

nonn

AUTHOR

Rick L. Shepherd, Sep 07 2009

STATUS

approved

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Last modified August 29 08:06 EDT 2015. Contains 261188 sequences.