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A016054
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Numbers n such that (13^n - 1)/12 is prime.
(Formerly M2708)
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14
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5, 7, 137, 283, 883, 991, 1021, 1193, 3671, 18743, 31751, 101089, 1503503
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listen;
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OFFSET
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1,1
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COMMENTS
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For Repunits in bases from -14 to 14, base 13 is a lucky number with the highest relative rate of primes being discovered. Base 7 is the most unlucky base with the lowest rate of primes being discovered. There is a Generalized Repunit Conjecture implying that all bases will eventually converge to the same relative rate of occurrence (ref 1). - Paul Bourdelais, Mar 01 2010
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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a(11) from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 05 2008
a(12) corresponds to a probable prime discovered by Paul Bourdelais, Mar 01 2010
a(13) corresponds to a probable prime discovered by Paul Bourdelais, Apr 09 2020
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STATUS
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approved
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