mersenneforum.org  

Go Back   mersenneforum.org > Factoring Projects > Lone Mersenne Hunters

Reply
 
Thread Tools
Old 2021-08-20, 11:39   #1926
nordi
 
Dec 2016

1518 Posts
Default

M1897121 has a 77.294-bit (24-digit) factor: 185310913945752397948441 (ECM,B1=50000,B2=6750000) <-- the 9th known factor
M194653 has a 119.349-bit (36-digit) factor: 846314715301812068679342636153284159 (ECM,B1=1000000,B2=135000000) <-- the 9th known factor
M599803 has a 106.747-bit (33-digit) factor: 136181509257226777136568353013047 (ECM,B1=3000000,B2=528000000) <-- the 10th known factor!

I'll run more curves on them, maybe I get lucky and beat the current record of 11 known factors.
nordi is offline   Reply With Quote
Old 2021-08-20, 15:00   #1927
firejuggler
 
firejuggler's Avatar
 
"Vincent"
Apr 2010
Over the rainbow

ABC16 Posts
Default

Wow, very nice!
firejuggler is offline   Reply With Quote
Old 2021-08-25, 07:29   #1928
Happy5214
 
Happy5214's Avatar
 
"Alexander"
Nov 2008
The Alamo City

14108 Posts
Default

New P+1 factor: 67111165753873384058235537928247 for M5210563 (B1=1,250,000, start=2/7) (105.726 bits)

It's my largest non-ECM factor ever and just half a bit off my personal best. All from stage 1 with low (but recommended) bounds. Plus it's the first factor for that exponent.

Last fiddled with by Happy5214 on 2021-08-25 at 07:29 Reason: Add M
Happy5214 is offline   Reply With Quote
Old 2021-08-25, 09:52   #1929
axn
 
axn's Avatar
 
Jun 2003

23×659 Posts
Default

Quote:
Originally Posted by Happy5214 View Post
New P+1 factor: 67111165753873384058235537928247 for M5210563 (B1=1,250,000, start=2/7) (105.726 bits)
Wow! That is one super-smooth factor.
axn is offline   Reply With Quote
Old 2021-08-25, 19:39   #1930
masser
 
masser's Avatar
 
Jul 2003
Behind BB

5·192 Posts
Default

Quote:
Originally Posted by Happy5214 View Post
New P+1 factor: 67111165753873384058235537928247 for M5210563 (B1=1,250,000, start=2/7) (105.726 bits)

It's my largest non-ECM factor ever and just half a bit off my personal best. All from stage 1 with low (but recommended) bounds. Plus it's the first factor for that exponent.
masser is online now   Reply With Quote
Old 2021-08-26, 11:48   #1931
Zhangrc
 
"University student"
May 2021
Beijing, China

2×101 Posts
Default

M111298777 has a factor: 135398831970267435540791 (76.842 bits)
k = 5 × 23 × 37 × 313 × 1069 × 427241
Another P-1 smooth factor found by TF.
Zhangrc is online now   Reply With Quote
Old 2021-08-27, 15:16   #1932
Zhangrc
 
"University student"
May 2021
Beijing, China

CA16 Posts
Default

Quote:
Originally Posted by Zhangrc View Post
M111298777 has a factor: 135398831970267435540791 (76.842 bits)
M111298699 has a factor: 82602996758522984927977 (76.129 bits)

2 factors were found out of 22 trials in the 111.2M range. That's lucky enough, for there were some time when I tested more than 500 exponents without finding a single factor.
Zhangrc is online now   Reply With Quote
Old 2021-08-27, 21:30   #1933
Jwb52z
 
Jwb52z's Avatar
 
Sep 2002

811 Posts
Default

P-1 found a factor in stage #1, B1=762000.
UID: Jwb52z/Clay, M105693659 has a factor: 215018688290325922746529 (P-1, B1=762000)

77.509 bits.
Jwb52z is offline   Reply With Quote
Old 2021-08-29, 17:51   #1934
bur
 
bur's Avatar
 
Aug 2020
79*6581e-4;3*2539e-3

5·97 Posts
Default

I was running a few ECM small assignments and a factor turned up.


Sigma=5667910856171759, B1=50000, B2=5000000.
M2088329 has a factor: 185217242100981866539823


24 digits, 77.3 bits
k = 197 * 1237 * 181977029831
bur is offline   Reply With Quote
Old 2021-08-30, 03:16   #1935
Happy5214
 
Happy5214's Avatar
 
"Alexander"
Nov 2008
The Alamo City

23·97 Posts
Default

M5211229 gave me a 114.058-bit P-1 factor (21623513459060090628814036845352337) (an all-time personal best by almost 8 bits) and a separate 90.559-bit stage 1 P+1 factor (1824415976895261507796344041).
Happy5214 is offline   Reply With Quote
Old 2021-08-30, 03:49   #1936
LaurV
Romulan Interpreter
 
LaurV's Avatar
 
"name field"
Jun 2011
Thailand

100110100011012 Posts
Default

Quote:
Originally Posted by Happy5214 View Post
M5211229 gave me a 114.058-bit P-1 factor (21623513459060090628814036845352337) (an all-time personal best by almost 8 bits) and a separate 90.559-bit stage 1 P+1 factor (1824415976895261507796344041).
That's Totally B-E-A-Utiful!
Congrats!
LaurV is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Congruent prime numbers that preserves the modulo as the largest prime factor of the sum Hugo1177 Miscellaneous Math 5 2021-02-11 07:40
Factorization factory Branger Factoring 15 2019-09-05 15:03
A fond farewell rogue Lounge 10 2008-11-21 05:25
Berry paradox without paradox. victor Puzzles 7 2008-04-08 22:34

All times are UTC. The time now is 05:31.


Sun Jan 23 05:31:57 UTC 2022 up 184 days, 56 secs, 0 users, load averages: 1.38, 1.50, 1.54

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2022, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔