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A114686 Primes with 71 as smallest positive primitive root. 31

%I #16 Nov 21 2023 05:20:47

%S 3659401,8453041,10319761,14155681,16391761,18094561,19616689,

%T 20456329,21677041,22628929,27275161,32051881,34228489,37728601,

%U 38884561,39191881,40101071,40167241,42163969,47931601,48461449,49460161,50389441,54932329,56219281,57590569

%N Primes with 71 as smallest positive primitive root.

%H Robert Price, <a href="/A114686/b114686.txt">Table of n, a(n) for n = 1..1366</a>

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

%o (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

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

%o \\ _Charles R Greathouse IV_, Jul 19 2011

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

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Dec 21 2005

%E a(23) and beyond from _Robert Price_, Nov 20 2023

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Last modified August 12 19:26 EDT 2024. Contains 375113 sequences. (Running on oeis4.)