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Forum: Data 2020-09-08, 23:51
Replies: 523
Views: 48,674
Posted By GP2
The 347th fully-factored or...

The 347th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M2029.

The most recent factor (58 digits) was found by...
Forum: Data 2020-07-09, 05:20
Replies: 523
Views: 48,674
Posted By GP2
M10,443,557 has been reported fully factored. ...

M10,443,557 has been reported fully factored.

This would be a new record. The previous record-holder was M7,313,983
Forum: Data 2020-02-01, 02:17
Replies: 523
Views: 48,674
Posted By GP2
The 343rd fully-factored or...

The 343rd fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M2749.

The most recent factor (65 digits!) was found by...
Forum: Data 2020-01-18, 04:48
Replies: 523
Views: 48,674
Posted By GP2
The 342nd fully-factored or...

The 342nd fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M2887.

The most recent factor (56 digits) was found by...
Forum: YAFU 2020-01-02, 15:01
Replies: 42
Views: 4,451
Posted By GP2
grep flags /proc/cpuinfo should show which...

grep flags /proc/cpuinfo should show which specific subsets of the AVX-512 instruction set are supported. For instance, the CPU I use has avx512f avx512dq avx512cd avx512bw avx512vl. For the...
Forum: And now for something completely different 2019-12-20, 23:46
Replies: 53
Views: 3,549
Posted By GP2
If Batalov can vouch for the validity of these...

If Batalov can vouch for the validity of these new entries he could add them to OEIS.
Forum: Data 2019-12-08, 21:53
Replies: 523
Views: 48,674
Posted By GP2
The 341st fully-factored or...

The 341st fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M3467.

The most recent factor (55 digits) was found by...
Forum: Data 2019-12-08, 04:10
Replies: 523
Views: 48,674
Posted By GP2
By reading this thread :smile:

By reading this thread :smile:
Forum: Data 2019-12-08, 03:41
Replies: 523
Views: 48,674
Posted By GP2
The 340th fully-factored or...

The 340th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M3733.

The most recent factor (53 digits) was found by...
Forum: FactorDB 2019-12-06, 05:50
Replies: 39
Views: 5,046
Posted By GP2
Yes, there were a lot of cases with exponents...

Yes, there were a lot of cases with exponents below 15000 where FactorDB forgot the connection between a composite number and its factors. For example, 2^293-1 was listed as an 89-digit composite...
Forum: Data 2019-11-27, 18:12
Replies: 523
Views: 48,674
Posted By GP2
Nope, nothing in the spam folder. Not a...

Nope, nothing in the spam folder.

Not a problem, unless it's a symptom of e-mail problems that might crop up again the next time a Mersenne prime is found.
Forum: Data 2019-11-27, 15:25
Replies: 523
Views: 48,674
Posted By GP2
The 339th fully-factored or...

The 339th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M216317.

The most recent factor was found by...
Forum: Wagstaff PRP Search 2019-11-23, 00:51
Replies: 6
Views: 893
Posted By GP2
Renaud and Henri Lifchitz mentioned this relation...

Renaud and Henri Lifchitz mentioned this relation in a 2000 paper (http://www.primenumbers.net/Documents/TestNP.pdf), see section 4. Note: they use Np to denote what we call Wp.

As they point...
Forum: Factoring 2019-11-17, 04:03
Replies: 498
Views: 57,164
Posted By GP2
2^1429+1 has a 47-digit factor:...

2^1429+1 has a 47-digit factor: 11485943839018053479863036296614076404887447123
Forum: Hardware 2019-11-09, 04:12
Replies: 20
Views: 2,311
Posted By GP2
Are they still available? I thought they...

Are they still available? I thought they discontinued them.

How noisy are they, by the way.
Forum: Science & Technology 2019-10-29, 17:25
Replies: 2,821
Views: 161,491
Posted By GP2
"Tiny". It's roughly the size of Massachusetts....

"Tiny". It's roughly the size of Massachusetts. Twelve times larger than the Isle of Man.
Forum: Data 2019-10-29, 14:10
Replies: 523
Views: 48,674
Posted By GP2
The 338th fully-factored or...

The 338th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M1723.

The 51-digit most recent factor was found by Ryan...
Forum: Astronomy 2019-10-18, 23:00
Replies: 35
Views: 2,717
Posted By GP2
I tried that method with Mercury in 2016 and...

I tried that method with Mercury in 2016 and couldn't see it. It worked with Venus in 2004 and 2012.

The dot for Mercury is so small that you probably need the focus to be exact, and that's hard...
Forum: Data 2019-10-18, 20:01
Replies: 523
Views: 48,674
Posted By GP2
For both this exponent and the previous one...

For both this exponent and the previous one (M2441), the factor had already been uploaded to FactorDB, and FactorDB had the cofactor as a PRP. It probably does the test automatically for such small...
Forum: Data 2019-10-18, 14:41
Replies: 523
Views: 48,674
Posted By GP2
The 337th fully-factored or...

The 337th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M2351.

The 55-digit most recent factor was found by Ryan...
Forum: Astronomy 2019-10-17, 16:22
Replies: 35
Views: 2,717
Posted By GP2
That worked for Venus, but Mercury is too small....

That worked for Venus, but Mercury is too small. Its angular diameter will be five times smaller than Venus, so the dot will have 25 times less area.

Compare these images:
...
Forum: GPU Computing 2019-10-13, 04:24
Replies: 12
Views: 3,027
Posted By GP2
He is still reporting factors that aren't first...

He is still reporting factors that aren't first factors. Quite a few of them in fact. For instance, for M2351 just yesterday.

He might still be looking for first factors, but they are obviously...
Forum: GPU Computing 2019-10-12, 14:45
Replies: 12
Views: 3,027
Posted By GP2
Here is the list of not-fully-factored exponents...

Here is the list of not-fully-factored exponents below 1500. The ones that meet the criteria of the cofactor being 1018 bits (or nearly do) are indicated.

I used FactorDB for the cofactor size in...
Forum: GPU Computing 2019-10-12, 05:35
Replies: 12
Views: 3,027
Posted By GP2
From the README.gpu file of GMP-ECM: ...

From the README.gpu file of GMP-ECM:



Every exponent smaller than 1018 has already been fully factored. So in practice, no.
Forum: GPU Computing 2019-10-12, 03:25
Replies: 12
Views: 3,027
Posted By GP2
You probably will be wasting your time, because...

You probably will be wasting your time, because Ryan Propper is already working that range and finding large factors and he clearly has a ton of resources.
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