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A045557
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Numbers whose factorial has '32' as its final two digits before the trailing zeros.
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1
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8, 19, 35, 74, 85, 97, 118, 145, 148, 180, 203, 225, 226, 270, 273, 287, 299, 306, 314, 325, 326, 337, 350, 351, 375, 376, 434, 441, 447, 457, 470, 473, 482, 509, 510, 516, 533, 544, 627, 659, 661, 666, 711, 718, 747, 806, 814, 842, 849
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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==32, 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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