mersenneforum.org  

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

Reply
 
Thread Tools
Old 2022-01-18, 16:51   #2036
Luminescence
 
Oct 2021
Germany

43 Posts
Default

10404679: 118793848017180226139209650887 (30 digits, 96.584 bits)

This looks like any old factor... until you take a look at the effort required for this one. Normal P-1 is at 1,069.7 GHz-days and the min. bounds are B1=597,137 and B2=22,193,557,699

Bless version 30.8
Luminescence is offline   Reply With Quote
Old 2022-01-20, 14:26   #2037
Xyzzy
 
Xyzzy's Avatar
 
Aug 2002

23×1,051 Posts
Default

10713539

M10713539 has a factor: 9646618965808297396650789217449140593554849484807561 (P-1, B1=3000000, B2=21676825170)

7259945416488565152965177 × 1328745384765454647667709393


Xyzzy is offline   Reply With Quote
Old 2022-01-20, 17:46   #2038
bur
 
bur's Avatar
 
Aug 2020
79*6581e-4;3*2539e-3

23·61 Posts
Default

It was suggested that ECM often makes more sense on those smaller Mersenne than P-1, and yes, there are a lot of low-hanging fruits with t35 done only partially. 1500 B1=1M curves on a 10 core take about 1.5 days and you can be fairly certain you won't miss any factor < 35 digits with that.

Code:
First hit:

M177949
Factor: 33673305014952064901960880605783657 (35 digits)

ECM B1=1000000, B2=167000000, Sigma=3976350787451175
k = 2^2 × 7 × 113 × 29903617016456689669335223 (boom, take that, P-1)

Group order:
2^4 × 3 × 251 × 3319 × 26111 × 111767 × 477073 × 741043 × 816203
Don't take this too serious, I did a lot of P-1 and even P+1 and I definitely get the lottery appeal of it with the chance to score big... :)
bur is offline   Reply With Quote
Old 2022-01-21, 20:39   #2039
petrw1
1976 Toyota Corona years forever!
 
petrw1's Avatar
 
"Wayne"
Nov 2006
Saskatchewan, Canada

4,993 Posts
Default 3 in a row via P1.

Code:
Magic_8_Ball	20824319	NF-PM1	2022-01-21 14:35	0.0	B1=800000, B2=288897180	19.4015
Magic_8_Ball	20824147	F-PM1	2022-01-21 14:17	0.0	Factor: 495235256819022693269729 / (P-1, B1=800000, B2=288897180)	19.4015
Magic_8_Ball	20823619	F-PM1	2022-01-21 13:58	0.0	Factor: 25548786609611112273299959 / (P-1, B1=800000, B2=288897180)	19.4015
Magic_8_Ball	20820379	F-PM1	2022-01-21 13:40	0.0	Factor: 1046110442462024597648707729 / (P-1, B1=800000, B2=288897180)	19.4015
Magic_8_Ball	20818361	NF-PM1	2022-01-21 13:21	0.0	B1=800000, B2=288897180	19.4015
petrw1 is offline   Reply With Quote
Old 2022-01-22, 20:29   #2040
Flaukrotist
 
Sep 2020
Germany

22·11 Posts
Default

M8180143 has a 210.388-bit (64-digit) composite (P25+P39) factor: 2153365510583437050044092603818787130235731554764189688651981753 (P-1,B1=1500000,B2=800578350)

Yeah, my first double factor in one P-1 attempt. And it includes the largest factor, I found so far (#172 in the Top P-1 factor list).
Flaukrotist 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 21:59.


Sun Jan 23 21:59:40 UTC 2022 up 184 days, 16:28, 0 users, load averages: 1.37, 1.45, 1.44

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