Newer milestone thread

[retina]

Assuming no prime is found before 2022-07-30 then that will equal the longest GIMPS dry spell of 1331 days.

2013-01-25 − 2009-06-04 = 1331 days
2022-07-30 − 2018-12-07 = 1331 days

[kriesel]

Originally Posted by Uncwilly

And it got poached by Mognuts. There was still > day to go before it expired and was at 64.7 percent. So, it was progressing. The ETA was 1 day with 2 to expire.

And PED's run had stalled at 64.7% for more than a day and expiration before completion was becoming increasingly likely. Which does not excuse poaching. PED was entitled to the time until expiration.

[rudy235]

Yesterday, after several weeks of being close, we have finally reached a milestone of sorts.

100 primes with between 2’000,000 and 2’999,000 digits.
These are some statistics on these 100 primes.

OLDEST:
2098960 digits Discovered June 1st 1999 Mersenne 38 (2^6972593-1)
It is also the First Megaprime both at the time of discovery and after being confirmed as M₃₈


NEWEST:
57 * 2^9075622 - 1 2732037 digits August 7, 2022

LARGEST
475856⁵²⁴²⁸⁸ + 1 2976633 digits. August 14, 2012

SMALLEST
39*2^6648997 +1 2001550 Digits October 20, 2020

MEDIAN
7401 * 2^7523295 - 1 2264742 Digits February 21 2021



Most of the primes have been discovered in the last 10 years.

4000 days ago (a bit less than 11 years) there were only 7 of these primes.

These 100 primes include
6 Generalized Fermats
1 Factorial +1
1 Cullen
1 Mersenne
0 Palindromes
0 Near Rep-digits
0 Woodalls

[tuckerkao]

The first time checks of the Mersenne exponents have almost slowed down to +1M every 3 months recently which mean only +4M per year and will take probably even longer as the exponent sizes grow.

There's a very good chance that "All exponents below 110 million tested at least once" will happen during Sep 2022.

[masser]

Around July 9th, we achieved a small milestone: less than 15,000 Mersenne numbers (2^p-1, p prime) without a known factor for p < 1e6. Persistently stubborn composites.

https://www.mersenne.ca/status/tf/0/0/4/0

[tuckerkao]

Originally Posted by kriesel

ETA 5 days on M108938483 (James Carlson)

There are only 8 exponents remain to reach the M110M milestone, however at least 3 are not progressing which mean they will be recycled and then reassign to other users which can drag the completion date all the way into Oct 2022 during the worst case scenario. The M111M milestone will most likely land on a random day during Nov 2022.

It seems like that all exponents below M112M have been tested once is no longer reachable this year, too many PRP tests outstanding(10,579) and only 111 days left.

[retina]

Originally Posted by tuckerkao

There are only 8 exponents remain to reach the M110M milestone, however at least 3 are not progressing which mean they will be recycled and then reassign to other users which can drag the completion date all the way into Oct 2022 during the worst case scenario. The M111M milestone will most likely land on a random day during Nov 2022.

Quite probably.

Thankfully it is not a big deal. It happens when it happens.

[petrw1]

We just exceeded 60% of exponents under 1B factored.

https://www.mersenne.ca/status/tf/0/0/1/0

[Uncwilly]

[tuckerkao]

George has both M109697843 and M109760129, better to hurry him up.

[LaurV]

This is deliberate, he will hold the results and not report them, for as long as possible...
(I would for sure do that, haha)