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A045568
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Numbers whose factorial has '88' as its final two digits before the trailing zeros.
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1
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9, 10, 16, 31, 54, 83, 94, 125, 126, 171, 186, 232, 250, 251, 279, 282, 313, 357, 412, 424, 450, 451, 462, 478, 534, 536, 541, 574, 586, 593, 610, 615, 636, 640, 647, 652, 664, 695, 698, 714, 731, 753, 795, 798, 813, 829
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OFFSET
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1,1
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LINKS
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PROG
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(PARI) last(n, k)=if(n*8\9-1<k, n=n!; return(n/10^valuation(n, 10)%10^k)); my(m=Mod(1, 5^k)); for(i=2, n, m*=i/10^valuation(i, 5)); lift(chinese(m, Mod(0, 2^k))) \\ Gives the last k decimal digits of n!.
(PARI) v=List(); m=Mod(1, 25); for(n=2, 1e6, m*=n/10^valuation(n, 5); if(m==88, listput(v, n); if(#v==100, return(Vec(v))))) \\ Charles R Greathouse IV, Oct 22 2014
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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