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A089132 First prime in the progression (n!+m)/m. +0
1
2, 2, 3, 2, 2, 2, 103, 631, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 163, 23, 10778406912001, 149, 1153, 100801, 137, 19, 19, 19, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; listen)
OFFSET

1,1

COMMENT

m=n=200 in Pari program. It appears that for any base m there is an infinity of primes in the progression.

PROGRAM

(PARI) nfactp2d2(n, m) = { for(k=1, m, for(x=1, n, y=floor((x!+ k)/k); if(isprime(y), print1(y", "); break) ) ) }

CROSSREFS

Adjacent sequences: A089129 A089130 A089131 this_sequence A089133 A089134 A089135

Sequence in context: A085962 A060244 A067132 this_sequence A107259 A121041 A003589

KEYWORD

base,easy,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)gmail.com), Dec 05 2003

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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