A089132 First prime in the progression (n!+m)/m.

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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..88.

Prog

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

Crossrefs

Sequence in context: A329601 A230578 A362663 * A107259 A121041 A157439

Adjacent sequences: A089129 A089130 A089131 * A089133 A089134 A089135

Keyword

base,easy,nonn

Author

Cino Hilliard, Dec 05 2003

Status

approved