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 A068844 Smallest prime with same leading digits as n!. 2
 11, 23, 61, 241, 1201, 7207, 504001, 4032029, 36288017, 362880043, 3991680029, 47900160013, 622702080047, 8717829120019, 130767436800073, 2092278988800037, 35568742809600019, 640237370572800041 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..18. EXAMPLE a(7) = 504011 because this is the smallest prime starting with 7! = 5040. MAPLE for i from 1 to 40 do a := nextprime(i!*10); b := 1; while(a-i!*10^b>=10^b) do b := b+1; a := nextprime(i!*10^b); end do; c[i] := a; end do:q := seq(c[i], i=1..40); MATHEMATICA Table[p = i!; k = 1; While[IntegerDigits[p] != Take[IntegerDigits[x = NextPrime[p*10^k]], IntegerLength[p]], k += 1]; x, {i, 18}] (* Jayanta Basu, Aug 09 2013 *) CROSSREFS Cf. A068845. Sequence in context: A097473 A366487 A081510 * A139905 A267437 A267438 Adjacent sequences: A068841 A068842 A068843 * A068845 A068846 A068847 KEYWORD base,nonn AUTHOR Amarnath Murthy, Mar 10 2002 EXTENSIONS More terms from Sascha Kurz, Mar 17 2002 STATUS approved

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Last modified April 17 04:44 EDT 2024. Contains 371756 sequences. (Running on oeis4.)