mersenneforum.org Wagstaff Conjecture
 User Name Remember Me? Password
 Register FAQ Search Today's Posts Mark Forums Read

 2010-12-25, 04:33 #1 davieddy     "Lucan" Dec 2006 England 2·3·13·83 Posts Wagstaff Conjecture OK Not proved. A few subleties Some folk can't get their head round it But is there anything simpler going around to base our assumptions on???? David PS (@Paul sorry about putting "on" at the end of the sentence)
 2010-12-25, 05:03 #2 davar55     May 2004 New York City 5·7·112 Posts Why yes. How many time do I have to direct you to the YJ-Conjecture? (It was discovered and explained independently and is NOT the same.)
2010-12-25, 10:06   #3
davieddy

"Lucan"
Dec 2006
England

145128 Posts

Quote:
 Originally Posted by davar55 How many time do I have to direct you to the YJ-Conjecture?
At least once

2010-12-25, 18:14   #4
davar55

May 2004
New York City

5×7×112 Posts

Quote:
 Originally Posted by davieddy At least once
The YJ-Conjecture was first presented in this forum
in a thread anticipating the arrival of M41.

It is also referenced in two extant threads.

It is also mentioned in the mersennewiki (historically)
and in wikipedia (historically).

It is also mentioned on yahoo.answers.

 2010-12-25, 20:29 #5 CRGreathouse     Aug 2006 3·1,993 Posts To save someone the same digging I had to do: The "YJ-Conjecture" or "Yablon-Jinydu conjecture" is the name that davar55 gives to Eberhart's conjecture, the almost-certainly-wrong version of Wagstaff's conjecture. Presumably the "d" in davar55 is the D in "David Yablon".
 2010-12-25, 21:21 #6 davar55     May 2004 New York City 108B16 Posts Yes, that is my name. The "almost" in "almost certainly wrong" saves that remark. Just remember that well-known is not well-proved, and conversely, unknown may be right.
 2010-12-25, 23:22 #7 davieddy     "Lucan" Dec 2006 England 2×3×13×83 Posts What infuriates me Davar is your claim that log(exponent) is not distributed randomly. Why not work with the simplest conjecture until it becomes untenable? David After ~2 years of LLtesting, we NOW "expect" the exponent of the next Mprime to be 75M, a longer than usual gap from 43M. Why? Absolutely nothing to do with the run of short gaps since 20M (M40). It's because we have tested up to 50M. Last fiddled with by davieddy on 2010-12-25 at 23:41
2010-12-26, 00:20   #8
davar55

May 2004
New York City

10000100010112 Posts

Quote:
 What infuriates me Davar is your claim that log(exponent) is not distributed randomly. Why not work with the simplest conjecture until it becomes untenable? After ~2 years of LLtesting, we NOW "expect" the exponent of the next Mprime to be 75M, a longer than usual gap from 43M. Why? Absolutely nothing to do with the run of short gaps since 20M (M40). It's because we have tested up to 50M.
Two points: First, neither the primes nor their logs are distributed
randomly. That's an approximation, there's no actual randomness
among the integers. Use randomness to make a conjecture at your
own risk. Second, if you check the subsequent analysis by jinydu,
the YJ-Conjecture is at least partially proven. It may eventually
be a lemma. Using a ratio of 3/2 = 1.500 is cleaner, leads to a
similar estimate of the next two gaps, and thus may help find
M47 and M48 and M49 and ...

2010-12-26, 00:28   #9
CRGreathouse

Aug 2006

10111010110112 Posts

Quote:
 Originally Posted by davar55 Second, if you check the subsequent analysis by jinydu, the YJ-Conjecture is at least partially proven.
Care to provide details or a link?

2010-12-26, 01:15   #10
davieddy

"Lucan"
Dec 2006
England

194A16 Posts

Quote:
 Originally Posted by CRGreathouse Care to provide details or a link?
Look up the mfgoode/davieddy conjectures.

David

2010-12-26, 02:49   #11
CRGreathouse

Aug 2006

3·1,993 Posts

Quote:
 Originally Posted by davieddy Look up the mfgoode/davieddy conjectures.
So that would be "no".

 Thread Tools

 Similar Threads Thread Thread Starter Forum Replies Last Post T.Rex Wagstaff PRP Search 191 2021-06-30 17:22 ryanp Wagstaff PRP Search 26 2013-10-18 01:33 Tony Reix Wagstaff PRP Search 7 2013-10-10 01:23 Batalov GMP-ECM 9 2012-08-24 10:26 T.Rex Math 0 2007-09-04 07:10

All times are UTC. The time now is 22:34.

Wed May 25 22:34:43 UTC 2022 up 41 days, 20:36, 0 users, load averages: 1.01, 1.31, 1.38

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 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔