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A109685
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Smallest nontrivial perfect power with same leading digits as n!.
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0
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16, 25, 64, 243, 120409, 720801, 5040025, 4032064, 362880940816, 3628800213481, 3991680051905536, 47900160082546704, 6227020800662405184, 8717829120075164064361, 1307674368000199069586496, 2092278988800044062720986249, 355687428096000138859491069121
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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PROG
| (PARI) for(n=1, 22, pp=0; lmin=n!; lmax=lmin; while(!pp, lexp=floor(log(lmax)/log(2)); for(e=2, lexp, cmin=ceil((lmin)^(1/e)); if(cmin<=floor((lmax)^(1/e)), if(pp, pp=min(cmin^e, pp), pp=cmin^e))); lmin*=10; lmax=lmax*10+9); print1(pp", ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 22 2007
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CROSSREFS
| Sequence in context: A110922 A065408 A112392 * A188826 A152152 A061101
Adjacent sequences: A109682 A109683 A109684 * A109686 A109687 A109688
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KEYWORD
| base,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Aug 07 2005
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EXTENSIONS
| More terms from Ryan Propper (rpropper(AT)stanford.edu), Jun 13 2006
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 22 2007
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