How many positive integers less than 2008 have an even number of divisors?
If they have an odd number of divisors, they're prime, there are 44 prime numbers less than 2008. sqrt(2008)
2008-44 = 1964
=^._.^=
Hi Catmg,
Your text should read: “If they have an odd number of divisors, they're perfect squares.
Also, the question asks:
How many positive integers less than 2008 have an even number of divisors?
So ...
\($2007-\lfloor\sqrt{2007}\rfloor = 1963 \)
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Catmg, you have wonderful math skills. You present excellent solutions to a fairly broad range of math questions.
GA