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A049536 Primes of the form lcm(1, ..., n) + 1 = A003418(n) + 1. 13

%I #13 Feb 07 2018 11:45:13

%S 2,3,7,13,61,421,2521,232792561,26771144401,72201776446801,

%T 442720643463713815201,718766754945489455304472257065075294401,

%U 6676878045498705789701874602220118271269436344024536001

%N Primes of the form lcm(1, ..., n) + 1 = A003418(n) + 1.

%H Harvey P. Dale, <a href="/A049536/b049536.txt">Table of n, a(n) for n = 1..16</a>

%e Lcm(9) + 1 = lcm(10) + 1 = 2521, a prime.

%t Select[Table[LCM@@Range[n]+1,{n,150}],PrimeQ]//Union (* _Harvey P. Dale_, May 31 2017 *)

%o (PARI) N=1; print1(2); for(n=1,1e3, if(isprimepower(n,&p), N*=p; if(isprime(N+1), print1(", "N+1)))) \\ _Charles R Greathouse IV_, Nov 18 2015

%Y Subsequence of A070858.

%Y Cf. A003418, A049537, A057824.

%K nonn

%O 1,1

%A _Labos Elemer_

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Last modified April 18 21:51 EDT 2024. Contains 371781 sequences. (Running on oeis4.)