A154554 - OEIS

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A154554

Primes p such that m=p-1 is the least number such that p divides m!+1.

2, 3, 5, 13, 17, 31, 37, 41, 53, 73, 89, 97, 101, 107, 113, 151, 157, 167, 173, 181, 197, 211, 223, 229, 241, 281, 283, 313, 331, 337, 349, 353, 373, 409, 421, 433, 439, 457, 487, 509, 541, 547, 587, 617, 643, 653, 659, 677, 701, 751, 757, 761, 769, 773, 821

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OFFSET

1,1

COMMENTS

The graph of A073944 shows two prominent curves. This sequence gives the primes on the upper curve. Primes on the lower curve are in sequence A154555. Note that the terms of A115092 are 1 for these primes.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

MATHEMATICA

Rest[Reap[Do[p=Prime[i]; f=1; m=1; While[f=Mod[f*m, p]; f+1<p, m++ ]; If[m==p-1, Sow[p]], {i, 200}]]][[1, 1]]

CROSSREFS

Sequence in context: A227829 A231481 A284669 * A105879 A066111 A065820

Adjacent sequences: A154551 A154552 A154553 * A154555 A154556 A154557

KEYWORD

nonn

AUTHOR

T. D. Noe, Jan 12 2009

STATUS

approved