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2M215856352p1 2019-05-29 23:52

First P-1 Factor
 
[M]M92129957[/M] has a factor: 538743045393521171980633 (78.834 bits)

This factor was found in P-1 Stage 1 with B1=1135000.

k = 2923821213731388 = 2^2 × 3^3 × 3187 × 8747 × 971149

The factor could have been found via trial factoring to 2^79. However, a fast and expensive GPU is necessary for efficiency, and 2^79 is past the ‘recommended’ trial factoring bound for M92129957.

Meanwhile, it appears that this link is broken: [URL="https://www.mersenne.ca/exponent/92129957"]https://www.mersenne.ca/exponent/92129957[/URL]

Please correct me if I made any mistakes.

James Heinrich 2019-05-30 02:23

[QUOTE=2M215856352p1;518086]Meanwhile, it appears that this link is broken: [URL="https://www.mersenne.ca/exponent/92129957"]https://www.mersenne.ca/exponent/92129957[/URL][/QUOTE]Apologies, it has been fixed now.

Jwb52z 2019-06-01 05:40

P-1 found a factor in stage #2, B1=700000, B2=12250000.
UID: Jwb52z/Clay, M91601753 has a factor: 58027651373023765151721470393 (P-1, B1=700000, B2=12250000),

95.551 bits.

WGJC3107 2019-06-01 16:02

M185223803 has a factor: 4094610292542423390791 (72 bits)

petrw1 2019-06-22 06:10

[QUOTE=lycorn;517984]After the latest factor found in the ranga 0 - 1M, exactly 80% of the numbers in that range are factored!
It was a 150-bit factor for M16369, found by... Ryan Propper.[/QUOTE]

It's been a while.....but he's back.

Ryan Propper Manual testing 7351 F-ECM 2019-06-22 03:02

James Heinrich 2019-06-22 17:33

[QUOTE=petrw1;519787]It's been a while.....but he's back.
Ryan Propper Manual testing 7351 F-ECM 2019-06-22 03:02[/QUOTE]You failed to mention it's a whopping 185.48 bit factor:[quote][M]M7351[/M] has a factor: [url=https://www.mersenne.ca/exponent/7351]68395426428631245237167716855062743466651615583157434009[/url][/quote]

lycorn 2019-06-22 21:54

Indeed. He´s been doing a tremendous job in the low ranges...
It´s just a pity we don´t know anything about his work. That is, if the amount of work he does [B]without[/B] finding factors was recorded, the picture of the ECM Progress table would certainly be quite different, and that could be used to better choose bounds while working in the low ranges. Oh well, nothing is perfect...:smile:

petrw1 2019-06-22 23:11

[QUOTE=James Heinrich;519839]You failed to mention it's a whopping 185.48 bit factor:[/QUOTE]

2.7x e^39 Tf days would have found it

Jwb52z 2019-06-23 18:02

P-1 found a factor in stage #1, B1=700000.
UID: Jwb52z/Clay, M91936463 has a factor: 756900670880501056009519 (P-1, B1=700000)

79.324 bits.

Maciej Kmieciak 2019-06-25 11:50

I've found 500 factors!
 
If anyone interested, I've just hit 500 factors.

Most of them is in the 900M range, from 2^70 to 2^71, I think the easiest way to find factors under 1G currently.

The 500th one is 1800724098004283562241, the factor of [URL="https://www.mersenne.org/report_exponent/?exp_lo=914797787&full=1"]M914797787[/URL]

Using six 3.8GHz cores of my i5-8400, I'm expecting to dig up 1000th factor by the end of 2019.

petrw1 2019-06-25 14:50

[QUOTE=Maciej Kmieciak;520053]If anyone interested, I've just hit 500 factors.

Most of them is in the 900M range, from 2^70 to 2^71, I think the easiest way to find factors under 1G currently.

The 500th one is 1800724098004283562241, the factor of [URL="https://www.mersenne.org/report_exponent/?exp_lo=914797787&full=1"]M914797787[/URL]

Using six 3.8GHz cores of my i5-8400, I'm expecting to dig up 1000th factor by the end of 2019.[/QUOTE]

Congratulations.... that's quite the commitment
If you really want lots more factors look into a GPU.
They are crazy fast at factoring


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