Coordination thread for redoing P-1 factoring

[Ensigm]

Now "reserving" for 30 days all the exponents in
the second half of 54.4 M
that has B1=B2≤730,000 and without a DC.

Currently working on:
- 54.36 M, 54.37 M, 54.38 M, 54.39 M (B1=B2≤730,000)
- the whole 54.4 M (B1=B2≤730,000)

[petrw1]

Originally Posted by Ensigm

Cat 1 exponents with only Stage 1 P-1 are surprisingly rare. I'm now "reserving" for 30 days all the exponents in
- 54.36 M, 54.37 M, 54.38 M and 54.39 M
that has B1=B2≤730,000 and without a DC.

These "reservations" only apply to factoring.

In many of the 5xM, 4xM and 3xM ranges they will be rare because of the work I (and others) have been doing there the last 3 years working on the sub-2000 project here:
https://www.mersenneforum.org/showthread.php?t=22476

In short the goal is to get all 0.1 Million ranges to below 2000 unfactored exponents.
For example here 39.3M and 39.6M are the ranges not below 2000.
https://www.mersenne.ca/status/tf/0/0/4/3900

We achieve this by more bits of TF and deeper P-1 especially where B1=B2 or they are relative low.

[Ensigm]

Now "reserving" for 30 days all the exponents in
the first half of 54.5 M
that has B1=B2≤730,000 and without a DC.

Currently working on:
- 54.36 M, 54.37 M, 54.38 M, 54.39 M (B1=B2≤730,000)
- the whole 54.4 M (B1=B2≤730,000)
- the first half of 54.5 M (B1=B2≤730,000)

[Ensigm]

Previous ranges 54.36 M, 54.37 M, 54.38 M, 54.39 M (B1=B2≤730,000) should now be finished and I am "unreserving" them.

Report for the whole 54.3 M:
5 factors found in 81 attempts (6.17%). Based on the bounds that were used, expected probability would be between 3.78% and 3.81%.

Currently working on:
- the whole 54.4 M (B1=B2≤730,000)
- the first half of 54.5 M (B1=B2≤730,000)

[Ensigm]

Now "reserving" for 30 days all the exponents in
the second half of 54.5 M
that has B1=B2≤730,000 and without a DC.

Note: this will be the last range I take in Cat 1 for a while. I will be going on a vacation shortly, and my maximum throughput will decrease by about 2/3 and will also become less constant. As a result, I will be moving away from smaller exponents so that those with higher throughput may take them.

Currently working on:
- the whole 54.4 M (B1=B2≤730,000)
- the whole 54.5 M (B1=B2≤730,000)

[petrw1]

Originally Posted by Ensigm

Now "reserving" for 30 days all the exponents in
the second half of 54.5 M
that has B1=B2≤730,000 and without a DC.

When you are done there could I interest you in bringing that kind of P-1 power to these ranges to help with my sub-2000 project:
48.4, 49.6
It's just over 1,500 exponents with similarly low B1=B2

And if that's not enough I can find more.

Thx

[Ensigm]

Originally Posted by petrw1

When you are done there could I interest you in bringing that kind of P-1 power to these ranges to help with my sub-2000 project:
48.4, 49.6
It's just over 1,500 exponents with similarly low B1=B2

I will probably first go over all exponents under M48 with B1=B2<700,000 and no DC. That's gonna be at least until this year's end. Then I will either go into sub-2000 project or "regular" first-time P-1, or do both.

Also don't think that is lots of P-1 power. I'm currently just over 120 GHz-d/d and will soon go down to around 40 GHz-d/d. If you have over 1,500 exponents spread in 2*0.1M ranges I will probably take only 0.01M at a time.

[Ensigm]

Now "reserving" for 30 days all the exponents in
the second half of 55 M
that has B1=B2≤690,000 and without a DC.

Currently working on:
- the whole 54.4 M (B1=B2≤730,000)
- the whole 54.5 M (B1=B2≤730,000)
- the second half 55 M (B1=B2≤690,000)

[Ensigm]

Now "reserving" for 30 days all the exponents in
the first half of 56 M
that has B1=B2≤690,000 and without a DC. Will also try to reserve them as TF assignments.

Previous ranges 54.4 M (B1=B2≤730,000) should now be finished and I am "unreserving" them. Edit: one exponent 54482819 still remain WIP.

Report for range 54.4 M (B1=B2≤730,000):
2 factors found in 40 attempts (5%). Expected probability would be 3.81%~3.83%.

Currently working on:
- the whole 54.4 M (B1=B2≤730,000)
- the whole 54.5 M (B1=B2≤730,000)
- the second half 55 M (B1=B2≤690,000)
- the first half 56 M (B1=B2≤690,000)

[Ensigm]

Previous ranges 54.4 M (B1=B2≤730,000) should now be finished and I am "unreserving" them.

Report for range 54.4 M (B1=B2≤730,000): 2 factors found in 41 attempts (4.88%). Expected probability 3.81%~3.83%.

Currently working on:
- the whole 54.5 M (B1=B2≤730,000)
- the second half 55 M (B1=B2≤690,000)
- the first half 56 M (B1=B2≤690,000)

[petrw1]

Thanks