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A154555 Primes p such that m=(p-1)/2 is the least number such that p divides m!+1. 2

%I #3 Mar 30 2012 17:22:54

%S 7,11,19,43,47,127,131,163,179,191,199,263,347,367,419,431,443,491,

%T 503,523,571,619,691,727,743,787,839,863,1051,1087,1091,1123,1291,

%U 1319,1367,1451,1487,1499,1571,1579,1583,1667,1723,1783,1823,1931,1951,2003,2039

%N Primes p such that m=(p-1)/2 is the least number such that p divides m!+1.

%C The graph of A073944 shows two prominent curves. This sequence gives the primes on the lower curve. Primes on the upper curve are in sequence A154554.

%H T. D. Noe, <a href="/A154555/b154555.txt">Table of n, a(n) for n=1..1000</a>

%t Rest[Reap[Do[p=Prime[i]; f=1; m=1; While[f=Mod[f*m,p]; f+1<p, m++ ]; If[m==(p-1)/2, Sow[p]], {i,400}]]][[1,1]]

%K nonn

%O 1,1

%A _T. D. Noe_, Jan 12 2009

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