login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A114686 Primes with 71 as smallest positive primitive root. 31
3659401, 8453041, 10319761, 14155681, 16391761, 18094561, 19616689, 20456329, 21677041, 22628929, 27275161, 32051881, 34228489, 37728601, 38884561, 39191881, 40101071, 40167241, 42163969, 47931601, 48461449, 49460161 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..22.

MATHEMATICA

t={}; Do[ If[ PrimitiveRoot[ Prime@n] == 71, AppendTo[t, n]; Print@ Prime@n], {n, 3280000}]; Prime@t

PROG

(PARI) is(n)=if(n<72, return(0)); for(k=2, 70, if(znorder(Mod(k, n))==n-1, return(0))); znorder(Mod(71, n))==n-1&&isprime(n) \\ Charles R Greathouse IV, Jul 19 2011

(PARI) is(n)=isprime(n)&&lift(znprimroot(n))==71 \\ relies on implementation details, may not always work

\\ Charles R Greathouse IV, Jul 19 2011

CROSSREFS

Cf. A001122-A001126, A061323-A061335, A061730-A061741, A114657-A114686.

Sequence in context: A253999 A258909 A090074 * A217673 A271027 A080657

Adjacent sequences:  A114683 A114684 A114685 * A114687 A114688 A114689

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Dec 21 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 9 05:02 EDT 2021. Contains 343688 sequences. (Running on oeis4.)