On Sat, Sep 20, 2008 at 10:20 AM, John Cremona <[EMAIL PROTECTED]> wrote:
>
> That's a good point.
>
> 2008/9/20 pong <[EMAIL PROTECTED]>:
>>
>> This is not a bug report. But I'm not sure where to post a suggestion.
>>
>> In the SAGE tutorial, http://www.sagemath.org/doc/tut/node27.html
>>
>> there is an example:
>>
>> sage: c = factorial(25); c
>> 15511210043330985984000000
>> sage: [valuation(c,p) for p in prime_range(2,23)]
>> [22, 10, 6, 3, 2, 1, 1, 1]
>>
>> Since prime_range(2,23) does not include 23 itself, maybe it's better
>> to change it to prime_range(2,25). In that case, the product of primes
>> to the corresponding powers will actually give the factorial of 25.
>
> I would also include
> sage: c.factor()
> 2^22 * 3^10 * 5^6 * 7^3 * 11^2 * 13 * 17 * 19 * 23
> (which would be helpful to people who might know know this meaning of
> "valuation", standard in number theory), and even perhaps
> sage: list(c.factor())
> [(2, 22), (3, 10), (5, 6), (7, 3), (11, 2), (13, 1), (17, 1), (19, 1), (23, 
> 1)]
>
> John Cremona

I've made this trac #4163:

http://trac.sagemath.org/sage_trac/ticket/4163

William

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