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A181575
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Prime numbers which are impossible numbers of trailing zeros in the decimal representation of the factorial of any prime number.
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1
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5, 11, 17, 23, 29, 59, 61, 67, 73, 79, 83, 101, 127, 131, 167, 173, 179, 193, 199, 223, 229, 241, 281, 283, 307, 311, 317, 331, 337, 349, 367, 373, 379, 397, 409, 419, 431, 439, 449, 457, 461, 467, 479, 487, 491, 503, 509, 523, 541, 547, 563, 577, 587, 599
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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MATHEMATICA
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f[n_] := IntegerExponent[ Prime@ n!, 10]; Select[ Complement[ Range[0, 600], Array[f, 360]], PrimeQ] (* Robert G. Wilson v, Nov 05 2010 *)
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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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EXTENSIONS
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STATUS
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approved
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