Why V5 has no factoring stats from 610-720M?
 

Does anyone know why there are no factoring stats/counts on the V5 page between 610M and 720M?

No one has reported any factoring data for that range.

Thanks

Good answer.

But someone has from 720M to 1B then?

I don't see it on any Thread in this forum.

Someone must have emailed that data some time ago.

Many of the numbers in the range 500M-610M have only been factored to 25 or 32 bits, when will the v5 server allocate these to be factored to 59 bits. Will this occurr after all the non factored ranges are completed?

[quote=CCol;130596]Many of the numbers in the range 500M-610M have only been factored to 25 or 32 bits, when will the v5 server allocate these to be factored to 59 bits. Will this occurr after all the non factored ranges are completed?[/quote]Keep in mind that any nontrivial factor of 2[sup]p[/sup]-1 has to have a value of 2kp+1 for some integer k>0.

When the exponents get that high, we need to adjust our intuition about TF limits.

Suppose p is around 500M. Then the smallest possible factor 2*1*p + 1 ~= 2 * 1 * 500M + 1 ~= 1000M + 1, which is greater than 2[sup]29[/sup]. So even the smallest possible factor is 30 bits long, and "factored to 25, 26, 27, 28 or 29 bits" is meaningless!

"Factored to 32 bits" in this case means that only candidate factors with k < 8 have been tried.

OK, I'm factoring 610M-720M to 40 bits. This will take about 48 hours, and the output file will be quite inconveniently large.

It is probably best to just let the v5 server get to these unfactored ranges.

The v5 server is grossly inefficient at finding small factors as the TCP/IP and SQLServer overhead is far far greater than the cost of finding a factor. If you send a big file, I'll still have to submit it to the server over the Internet and pay all the database overhead.

OK, I've stopped the job.

... and the leading edge of LL assignments won't approach 610M for a few more years, so there's no urgency ...

[QUOTE=cheesehead;130666]... and the leading edge of LL assignments won't approach 610M for a few more years, so there's no urgency ...[/QUOTE]

Not sixty-one million but rather six hundred and ten million.

From Sept-06 to Feb-08 the LL Leading edge has changed from 35M to 41M - about 3 months per million - 4M per year. Assuming a linear trend (just a SWAG) it will take (610 - 41) / 4 = 142 years.

Considering as of today my life is exactly half over (I plan to live to 100) I don't think I will see it happen.