[QUOTE=JCoveiro;588971]Hi people.

Which exponents are left to verify M48?

I can help in double-checking.[/QUOTE]You're weeks or months too late to this party.
All: it's good practice to read before posting. See [URL]https://mersenneforum.org/showpost.php?p=588895&postcount=79[/URL], just 7 posts before the quoted post. Or use [URL]https://www.mersenne.org/report_milestones/[/URL] and the links that are those red numbers there, for periodically updated info, from which I have been regularly posting snapshots.

I'm hopeful that people will respect this thread's secondary purpose, of documenting the natural progression to achieving a milestone, for future reference and consideration by anyone in making any future projections for future milestones. That means let the normal progression run its course following the well documented [URL="https://www.mersenne.org/thresholds/"]assignment rules[/URL], without poaching.

Currently the PrimeNet server is projecting [URL="https://www.mersenne.org/assignments/?exp_lo=57747433&exp_hi=57885161&execm=1&exp1=1&extf=1&exfirst=1"]2021-10-02 conclusion[/URL].

But the assignment [M]57773081[/M] to AndersM on PC1 has not reported an update for 2 days. If it is stalled and not fixed and not poached it may take 24 days to expire and several more to reassign and complete, adding an unnecessary 4 additional weeks to reaching the 48* DC milestone. AndersM is not a valid userid for PM.

AndersM has delivered recently; [M]57555247[/M] assigned 2021-09-15 to AndersM [URL]https://mersenneforum.org/showpost.php?p=588135&postcount=41[/URL] reached 69.5% on 2021-09-21 and was completed by 2021-09-23 0:46. [URL]https://mersenneforum.org/showpost.php?p=588443&postcount=49[/URL]
So wait a bit and see.

Houston, We Have A Problem! :)

[QUOTE=greenskull;589030]Houston, We Have A Problem! :)[/QUOTE]AndersM? Is that you? I'd be happy to finish [URL="https://www.mersenne.org/M57773081"]that one[/URL] for you, as would some other forumites, if you've had some computer problems that prevent continuing it.

[QUOTE=kriesel;589044]AndersM? Is that you?[/QUOTE]
Of course it's not me.
I like forecasting, and I have something to keep my Mac busy besides catching Mersenne numbers :)
In this game, I am more of an observer than a participant.

2
 

[B][SIZE=3]From [URL]https://www.mersenne.org/report_milestones/[/URL][/SIZE]
[/B]
[B]Progress toward next GIMPS milestones [I](last updated 2021-10-01 12:45:11 UTC, updates every 15 minutes)[/I][/B]
[LIST][*] All exponents below [COLOR=blue]57 747 433[/COLOR] have been tested and verified.[*] All exponents below [COLOR=blue]104 815 069[/COLOR] have been tested at least once.[*] Countdown to first time checking all exponents below 105 million: [URL="https://www.mersenne.org/assignments/?exp_lo=104815069&exp_hi=105000000&execm=1&exp1=1&extf=1&exdchk=1&excert=1"]2[/URL][*] Countdown to first time checking all exponents below 106 million: [URL="https://www.mersenne.org/assignments/?exp_lo=104815069&exp_hi=106000000&execm=1&exp1=1&extf=1&exdchk=1&excert=1"]91[/URL][*] Countdown to verifying all tests below M(57 885 161): [URL="https://www.mersenne.org/assignments/?exp_lo=57747433&exp_hi=57885161&execm=1&exp1=1&extf=1&exfirst=1"]2[/URL][*] Countdown to verifying all tests below 58 million: [URL="https://www.mersenne.org/assignments/?exp_lo=57747433&exp_hi=58000000&execm=1&exp1=1&extf=1&exfirst=1&excert=1"]5[/URL][*] Countdown to verifying all tests below 59 million: [URL="https://www.mersenne.org/assignments/?exp_lo=57747433&exp_hi=59000000&execm=1&exp1=1&extf=1&exfirst=1&excert=1"]1 792[/URL] [COLOR=black](1 157 available)[/COLOR][*] Countdown to verifying all tests below M(74 207 281): [COLOR=blue]269 860[/COLOR][*] Countdown to verifying all tests below M(77 232 917): [COLOR=blue]325 389[/COLOR][*] Countdown to verifying all tests below M(82 589 933): [COLOR=blue]424 092[/COLOR][/LIST][M]57747433[/M] (Syntony) ETA tomorrow, 60.6% complete
[M]57773081[/M] (AndersM) ETA yesterday, hasn't updated since 2021-09-27, 26% complete

Perhaps somebody could get in touch with AndersM for a sitrep...

[QUOTE=kriesel;589133][*] Countdown to verifying all tests below M(57 885 161): [URL="https://www.mersenne.org/assignments/?exp_lo=57747433&exp_hi=57885161&execm=1&exp1=1&extf=1&exfirst=1"]2[/URL][*] Countdown to verifying all tests below 58 million: [URL="https://www.mersenne.org/assignments/?exp_lo=57747433&exp_hi=58000000&execm=1&exp1=1&extf=1&exfirst=1&excert=1"]5[/URL][*] Countdown to verifying all tests below 59 million: [URL="https://www.mersenne.org/assignments/?exp_lo=57747433&exp_hi=59000000&execm=1&exp1=1&extf=1&exfirst=1&excert=1"]1 792[/URL] [COLOR=black](1 157 available)[/COLOR][*] Countdown to verifying all tests below M(74 207 281): [COLOR=blue]269 860[/COLOR][*] Countdown to verifying all tests below M(77 232 917): [COLOR=blue]325 389[/COLOR][*] Countdown to verifying all tests below M(82 589 933): [COLOR=blue]424 092[/COLOR][/LIST][M]57747433[/M] (Syntony) ETA tomorrow, 60.6% complete
[M]57773081[/M] (AndersM) ETA yesterday, hasn't updated since 2021-09-27, 26% complete[/QUOTE]

Now we have verified that [URL="https://oeis.org/A279095"]A279095[/URL](29) = 1996040, since neither 57747433 nor 57773081 is == 1 mod 29, thus 57885161 is [B]proven[/B] to be the smallest prime p == 1 mod 29 such that 2^p-1 is (Mersenne) prime.

[QUOTE=Dr Sardonicus;589135]Perhaps somebody could get in touch with AndersM for a sitrep...[/QUOTE]Yes that might help. That would need to be someone like Madpoo or Prime95 that may have access to an email address, or forum ID != AndersM, for him.[QUOTE=kriesel;589003]AndersM is not a valid userid for PM.[/QUOTE]If not cleared soon it will also be delaying the [URL="https://www.mersenne.org/assignments/?exp_lo=57747433&exp_hi=58000000&execm=1&exp1=1&extf=1&exfirst=1&excert=1"]58M milestone[/URL] for which the server currently shows 4 left, projected conclusion 2021-10-06.

[QUOTE=kriesel;589154]If not cleared soon...[/QUOTE]

... the world will not end.

[QUOTE=Prime95;589157]... the world will not end.[/QUOTE]

+1.