Let's finish DC of old "dubious" claims of primes

[tServo]

As requested, the last 2 proof files for 103,xxx,xxx and 108,xxx,xxx were uploaded over the weekend.

[kriesel]

Only 4 remain available to claim for PRP with proof-generation, each of which will take a while:
PRP=1,2,276036017,-1,80,0 Kriesel did first PRP shifted type 1, available
PRP=1,2,315690521,-1,80,0 Kriesel did first PRP shifted type 1, available
PRP=1,2,369452123,-1,81,0 Kriesel did first PRP unshifted type 1, available
PRP=1,2,852348659,-1,86,0 Kriesel did first PRP unshifted type 1, available

Claimed but unable to reserve on mersenne.org:
PRP=1,2,231695603,-1,79,0 Kriesel did first PRP shifted type 1, Kriesel repeating with proof generation, ETA today
PRP=1,2,285754177,-1,80,0 Kriesel did first PRP shifted type 1, Kriesel repeating with proof generation, ETA 7 weeks

[S485122]

Originally Posted by kriesel

...
Claimed but unable to reserve on mersenne.org:
PRP=1,2,231695603,-1,79,0 Kriesel did first PRP shifted type 1, Kriesel repeating with proof generation, ETA today
PRP=1,2,285754177,-1,80,0 Kriesel did first PRP shifted type 1, Kriesel repeating with proof generation, ETA 7 weeks

I suppose the server will not assign them to you because you were the first time tester.

[kriesel]

Only 2 remain available to claim for PRP with proof-generation, each of which will take a while:
PRP=1,2,315690521,-1,80,0 Kriesel did first PRP shifted type 1, available
PRP=1,2,852348659,-1,86,0 Kriesel did first PRP unshifted type 1, available

Claimed but unable to reserve on mersenne.org (because I ran the first PRP):
PRP=1,2,276036017,-1,80,0 Kriesel did first PRP shifted type 1, Kriesel repeating with proof generation, ETA ~16 days
PRP=1,2,285754177,-1,80,0 Kriesel did first PRP shifted type 1, Kriesel repeating with proof generation, ETA ~19 days
PRP=1,2,369452123,-1,81,0 Kriesel did first PRP unshifted type 1, Kriesel repeating with proof generation, ETA ~18 days

[kriesel]

Taking the last two, PRP with proof generation in Gpuowl:
PRP=1,2,315690521,-1,80,0 Kriesel did first PRP shifted type 1, ETA ~ 2 weeks
PRP=1,2,852348659,-1,86,0 Kriesel did first PRP unshifted type 1, ETA ~ 4 months

[kriesel]

Originally Posted by kriesel

Separately I am working on DC of the remaining Predict Mxx exponents. There are a lot of them, ~65 at the moment lacking DC.

There now remain 6 of those (one of which matches with a dubious claim made earlier). Combining the two, Predict Mxx lacking completed DC, and dubious claims lacking completed DC, but within range of feasible P-1 factoring, yields 7 exponents (for now). Current status of each follows:
258150181 (from predict M52 list) kriesel running PRP/proof, ETA ~ 30 April 2022
282362693 (from predict M52 list) kriesel running PRP/proof ETA ~ June 2022
315690521 (from dubious claims list) kriesel running PRP/proof ETA ~ 19 April 2022
----limit of mersenne.org current server hardware automatic handling of proof files is ~ 596M----
655685803 (from predict M45 list) kriesel running PRP/proof ETA July 2022
852348659 (from dubious claims and subsequently predict M52 list) kriesel running PRP/proof ETA July 2022
----limit of mersenne.org exponent range 1000M----
1000000007 (from predict M52 list) TF and P-1 done; available for first PRP/proof
----limit of mprime/prime95 AVX512 64M fft exponent handling (PRP, proof, cert,...) 1169M----
----limit of PRP/proof-capable gpuowl versions 2172.36M----
2252945257 (from predict M51 list) TF done, Mlucas P-1 stage 1 running, at ~23% completed now, total time for both stages estimated at 9.8 months on an Intel i5-7600T; no first PRP test yet, waiting on P-1 GCD results

~1G PRP/proof is feasible in ~4.5 months in Gpuowl on a Radeon VII.

If 2.253G were supported in some proof-capable gpuowl version, its PRP/proof would take ~ 2. years on a Radeon VII.
From a 268 msec/iteration timing on Mlucas in 128M fft, on Ubuntu/WSL/Win10, using 24 threads on all 24 real cores of a dual Xeon e5-2697v2 system, it would take ~19.1 years there. I think one could do quite a bit better than that in Mlucas on native Linux, & perhaps employing more threads and/or different hardware, but it is still likely to take at least several years to run on any CPUs I have. And currently, proof generation is not released in Mlucas, and Cert capability is not available, in any known software for such a high exponent, so 2 full PRP runs would be necessary. Proof generation on Mlucas may become available before the P-1 stages complete, or shortly after. That would leave unresolved how to perform a cert for an exponent nearly double the maximum now supported in mprime/prime95.

[kriesel]

Here's a quick update edited into the quoted block (with both deletions and additions):

Originally Posted by kriesel

There now remain 6 4 of those (one of which matches with a dubious claim made earlier). Combining the two, Predict Mxx lacking completed DC, and dubious claims lacking completed DC, but within range of feasible P-1 factoring, yields 7 5 exponents (for now). Current status of each follows:
[M]258150181[/M] (from predict M52 list) kriesel running PRP/proof, ETA ~ 30 April 2022 done
282362693 (from predict M52 list) kriesel running PRP/proof ETA ~ June 25 2022
[M]315690521[/M] (from dubious claims list) kriesel running PRP/proof ETA ~ 19 April 2022 done
----limit of mersenne.org current server hardware automatic handling of proof files is ~ 596M----
655685803 (from predict M45 list) kriesel running PRP/proof ETA July 2022
852348659 (from dubious claims and subsequently predict M52 list) kriesel running PRP/proof ETA July ~22 2022
----limit of mersenne.org exponent range 1000M----
1000000007 (from predict M52 list) TF and P-1 done; available for first PRP/proof
----limit of mprime/prime95 AVX512 64M fft exponent handling (PRP, proof, cert,...) 1169M----
----limit of PRP/proof-capable gpuowl versions 2172.36M----
2252945257 (from predict M51 list) TF done, Mlucas P-1 stage 1 running, at ~23 52% completed now, total time for both stages estimated at 9.8 months on an Intel i5-7600T; no first PRP test yet, waiting on P-1 GCD results, then wait for Mlucas V21 proof capable version release (but run time would be very long on any hardware I have)

~1G PRP/proof is feasible in ~4.5 months in Gpuowl on a Radeon VII.

If 2.253G were supported in some proof-capable gpuowl version, its PRP/proof would take ~ 2. years on a Radeon VII.
From a 268 msec/iteration timing on Mlucas in 128M fft, on Ubuntu/WSL/Win10, using 24 threads on all 24 real cores of a dual Xeon e5-2697v2 system, it would take ~19.1 years there. I think one could do quite a bit better than that in Mlucas on native Linux, & perhaps employing more threads and/or different hardware, but it is still likely to take at least several years to run on any CPUs I have. And currently, proof generation is not released in Mlucas, and Cert capability is not available, in any known software for such a high exponent, so 2 full PRP runs would be necessary. Proof generation on Mlucas may become available before the P-1 stages complete, or shortly after. That would leave unresolved how to perform a cert for an exponent nearly double the maximum now supported in mprime/prime95.