fond of a factor? Urn yourself to become remains - Page 132

2M215856352p1 · 2019-05-29, 23:52

M92129957 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: https://www.mersenne.ca/exponent/92129957

Please correct me if I made any mistakes.

James Heinrich · 2019-05-30, 02:23

Quote:

Originally Posted by 2M215856352p1

Meanwhile, it appears that this link is broken: https://www.mersenne.ca/exponent/92129957

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:

Originally Posted by lycorn

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.

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:

Originally Posted by petrw1

It's been a while.....but he's back.
Ryan Propper Manual testing 7351 F-ECM 2019-06-22 03:02

You failed to mention it's a whopping 185.48 bit factor:

Quote:

M7351 has a factor: 68395426428631245237167716855062743466651615583157434009

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 without 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...

petrw1 · 2019-06-22, 23:11

Quote:

Originally Posted by James Heinrich

You failed to mention it's a whopping 185.48 bit factor:

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

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 M914797787

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:

Originally Posted by Maciej Kmieciak

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 M914797787

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

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

2019-05-29, 23:52	#1442
2M215856352p1 May 2019 1101111₂ Posts	First P-1 Factor M92129957 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: https://www.mersenne.ca/exponent/92129957 Please correct me if I made any mistakes. Last fiddled with by 2M215856352p1 on 2019-05-30 at 00:23 Reason: Correction for neutrality

2019-06-01, 16:02	#1445
WGJC3107 "Will Conway" May 2018 UK 40₁₆ Posts	M185223803 has a factor: 4094610292542423390791 (72 bits) Last fiddled with by WGJC3107 on 2019-06-01 at 16:12

2019-06-25, 11:50	#1451
Maciej Kmieciak Nov 2018 Poland 3×5 Posts	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 M914797787 Using six 3.8GHz cores of my i5-8400, I'm expecting to dig up 1000th factor by the end of 2019.

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2019-06-01, 05:40	#1444
Jwb52z Sep 2002 17·47 Posts	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.

2019-06-22, 21:54	#1448
lycorn "GIMFS" Sep 2002 Oeiras, Portugal 2×11×67 Posts	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 without 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...

2019-06-23, 18:02	#1450
Jwb52z Sep 2002 17·47 Posts	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.