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Forum: Math 2021-07-01, 16:39
Replies: 28
Views: 5,071
Posted By GP2
W82589933 has the factor...

W82589933 has the factor 17973642059656480077259129
WM127 has the factor 886407410000361345663448535540258622490179142922169401

Those were discovered in 2020....
Forum: Data 2021-05-20, 13:50
Replies: 566
Views: 106,586
Posted By GP2
There are now 357 known Mersenne numbers with...

There are now 357 known Mersenne numbers with prime exponent that are composite and either fully factored or probably fully factored.

The most recent is M4021. Its final factor (66 digits) was...
Forum: And now for something completely different 2021-05-11, 22:46
Replies: 65
Views: 7,442
Posted By GP2
Congratulations. I wonder, in the course of your...

Congratulations. I wonder, in the course of your search are you recording residues and factors for posterity?
Forum: Data 2021-04-29, 04:47
Replies: 566
Views: 106,586
Posted By GP2
Like Ryan's other recent factor discoveries, the...

Like Ryan's other recent factor discoveries, the factor got reported almost immediately to FactorDB (by Ryan himself?), and the cofactor is usually already certified prime there before the first PRP...
Forum: Data 2021-04-18, 16:22
Replies: 566
Views: 106,586
Posted By GP2
There are now 355 known Mersenne numbers with...

There are now 355 known Mersenne numbers with prime exponent that are composite and either fully factored or probably fully factored.

The most recent is M4507. Its final factor (53 digits) was...
Forum: Data 2021-04-07, 16:33
Replies: 566
Views: 106,586
Posted By GP2
The 354th fully-factored or...

The 354th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M5393.

The most recent factor (58 digits) was found by...
Forum: Data 2021-03-27, 14:46
Replies: 566
Views: 106,586
Posted By GP2
The 353rd fully-factored or...

The 353rd fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M7013.

The most recent factor (49 digits) was found by...
Forum: Data 2021-03-26, 06:28
Replies: 566
Views: 106,586
Posted By GP2
The 352nd fully-factored or...

The 352nd fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M7669.

The most recent factor (47 digits) was found by...
Forum: Data 2021-03-20, 19:52
Replies: 566
Views: 106,586
Posted By GP2
The 351st fully-factored or...

The 351st fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M8233.

The most recent factor (47 digits) was found by...
Forum: Data 2020-12-17, 01:23
Replies: 566
Views: 106,586
Posted By GP2
The 349th fully-factored or...

The 349th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M1489.

The most recent factor (60 digits) was found by...
Forum: Data 2020-10-07, 01:00
Replies: 566
Views: 106,586
Posted By GP2
As of this writing, this hasn't got a...

As of this writing, this hasn't got a certification. FactorDB did not assign one automatically, the exponent must be too big.

Edit: now it's certified.
Forum: Data 2020-10-01, 18:13
Replies: 566
Views: 106,586
Posted By GP2
The 348th fully-factored or...

The 348th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M4349.

The most recent factor (41 digits) was found by...
Forum: Data 2020-09-08, 23:51
Replies: 566
Views: 106,586
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: 566
Views: 106,586
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: 566
Views: 106,586
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: 566
Views: 106,586
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: 84
Views: 59,723
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: 12,748
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: 566
Views: 106,586
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: 566
Views: 106,586
Posted By GP2
By reading this thread :smile:

By reading this thread :smile:
Forum: Data 2019-12-08, 03:41
Replies: 566
Views: 106,586
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: 21,499
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: 566
Views: 106,586
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: 566
Views: 106,586
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: 3,719
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...
Showing results 1 to 25 of 1000

 
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