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A048891 Primes that are congruent to 1 mod n, where n is the index of the prime. 13

%I #38 Feb 23 2020 08:42:38

%S 2,3,11,13,37,43,1087,64591,64601,64661,1304707,3523969,3524249,

%T 9558541,189963073,189963091,189963847,189968887,189969319,189969337,

%U 1394194181,1394194481,1394194561,1394197381,1394199221,1394199241,3779851321,3779851363,3779856571,10246935931,10246936019,10246936481,75370121689,75370121857,75370122409,75370125409,75370126441

%N Primes that are congruent to 1 mod n, where n is the index of the prime.

%C Based on problem by _G. L. Honaker, Jr._

%C A subsequence of A073465. - _Ivan N. Ianakiev_, Aug 06 2019

%H Giovanni Resta, <a href="/A048891/b048891.txt">Table of n, a(n) for n = 1..94</a>

%F A087611(a(n)) = 0. - _Reinhard Zumkeller_, Sep 11 2003

%F a(n) = A000040(A023143(n)). - _Zak Seidov_, Feb 19 2015

%e 13 is the 6th prime and 13 == 1 mod 6.

%t f[p_,n_]:=Mod[p,n]==0; lst={};Do[p=Prime[n];If[f[p-1,n],AppendTo[lst,p]],{n,10!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Dec 08 2009 *)

%o (PARI) lista(nn) = forprime(p=1, nn, if (Mod(p, primepi(p)) == 1, print1(p, ", "))); \\ _Michel Marcus_, Jan 08 2015; Aug 06 2019

%Y Cf. A000040, A023143, A045924, A052013.

%K nonn

%O 1,1

%A _Jud McCranie_

%E More terms from _Zak Seidov_, Feb 19 2015

%E Terms a(33)-a(37) sorted into correct order by _Giovanni Resta_, Feb 23 2020

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)