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A083340 Numbers n such that A020549(n)=(n!)^2+1 is a semiprime. 1
6, 7, 8, 12, 15, 16, 17, 18, 19, 28, 29, 41, 45, 53 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The smaller of the two prime factors is given in A083341. The next candidates for a continuation are 55 and 61. (55!)^2+1 is composite with 147 decimal digits and unknown factorization.

LINKS

Table of n, a(n) for n=1..14.

Andrew Walker, Factors of (n!)^2+1.

EXAMPLE

a(1)=6 because (6!)^2+1=518401=13*39877 is a semiprime.

CROSSREFS

Cf. A020549, A001358, A083341, A046029.

Sequence in context: A209723 A066235 A037365 * A118733 A047275 A047590

Adjacent sequences:  A083337 A083338 A083339 * A083341 A083342 A083343

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Apr 24 2003

STATUS

approved

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Last modified May 24 15:56 EDT 2013. Contains 225624 sequences.