Where are the primes!? [seqfan]
David Wilson
dwilson at totalnetnh.net
Fri May 8 01:55:32 CEST 1998
> On another curious note, the Smarandache Function (The smallest value
S(n)
> for a given n for which n|S(n)! ;
> http://www.astro.virginia.edu/~eww6n/math/SmarandacheFunction.html) does
> not attain the following values for n=1 to 40,000: 24, 27, 30, 32, 36,
40,
> 42, 45, 48, 49, 50, 54, 55, 56, 60, ... Does this sequence look familar
> to anyone (it doesn't appear to be in EIS)?
The Smarandache function takes on all nonnegative integer values except 1.
S(1) = 0, S(n) >= 2 for n >= 2, so S does not take on the value 1.
S(1) = 0, S(n!) = n for n >= 2, so S takes on every other nonnegative
integer
value. This means that your sequence above consists of the number 1.
More information about the SeqFan
mailing list