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Primes of the Form (b^n+1)/(b+1)

Journal of Integer Sequences, Vol. 3 (2000), Article 00.2.7

Primes of the Form (bn+1)/(b+1)


Harvey Dubner
449 Beverly Road
Ridgewood, New Jersey 07450

Torbjörn Granlund
Notvarpsgränd 1
1tr SE-116 66 Stockholm, Sweden

Email addresses: hdubner1@compuserve.com and tege@swox.se

Abstract: Numbers of the form (bn+1)/(b+1) are tested for primality. A table of primes and probable primes is presented for b up to 200 and large values of n.

1999 Mathematics Subject Classification: Primary 11A41
Keywords: prime numbers, generalized repunits


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(Concerned with sequences A000978 A007658 A057171 A057172 A057173 A057175 A057176 A057177 A057178 A057179 A057180 A057181 A057182 A057183 A057184 A057185 A057186 A057187 A057188 A057189 A057190 A057191.)


Received September 10, 2000; published in Journal of Integer Sequences November 28, 2000.


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