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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

Agnishom
2012-10-15 22:05:15

Thanks @scientia

bob bundy
2012-10-15 21:29:19

hi scientia

Nice proof!  smile

Bob

scientia
2012-10-15 20:54:41

Agnishom wrote:

Prove the following:
If:


where p are distinct prime numbers
Then:


Let
denote the number of positive factors of
.

It's obvious that if
and
have no factor in common other than 1, then
.

Also the factors of
are
and so
.

Combining the two observations above gives the required solution.

Agnishom
2012-10-15 15:58:02

Prove the following:
If:


where p are prime numbers
Then:

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