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A108518 a(n) is the smallest natural number m such that (10^n)! + m is prime. 1
1, 11, 229, 1283 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

If a(n) is composite then a(n)>10^(2n)+2*10^n. Conjecture: All terms are noncomposite numbers.

EXAMPLE

a(3)=1283 because (10^3)!+1283 is prime and for 0<m<1283 1000!+m is

composite.

MATHEMATICA

a[n_] := (For[m = 1, ! PrimeQ[(10^n)! + m], m++ ]; m); Do[Print[a[n]], {n, 0, 3}]

CROSSREFS

Cf. A108519.

Sequence in context: A187646 A170948 A120850 * A077736 A068122 A015287

Adjacent sequences:  A108515 A108516 A108517 * A108519 A108520 A108521

KEYWORD

more,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Jul 10 2005

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Last modified February 15 12:25 EST 2012. Contains 205786 sequences.