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A072937 Least k such that prime(n) appears in factorization of k! + 1. 1

%I #10 Aug 02 2021 03:42:51

%S 2,4,3,5,12,16,9,14,18,30,36,40,21,23,52,15,8,18,7,72,23,13,88,96,100,

%T 6,106,86,112,63,65,16,16,50,150,156,81,166,172,89,180,95,102,196,99,

%U 210,222,61,228,64,210,240,97,31,131,9,93,40,280,282,45,63,220,312,91

%N Least k such that prime(n) appears in factorization of k! + 1.

%e 12!+1 = 13^2*2834329 and 12 is the smallest integer k such that 13 = prime(6) appears in k!+1 factorization, hence a(6)=12

%o (PARI) a(n)=if(n<0,0,s=1; while((s!+1)%prime(n)>0,s++); s)

%Y Cf. A073944 (duplicate of this sequence, with an initial term a(1)=1).

%K easy,nonn

%O 2,1

%A _Benoit Cloitre_, Aug 20 2002

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)