mersenneforum.org  

Go Back   mersenneforum.org > Other Stuff > Open Projects

Reply
 
Thread Tools
Old 2013-07-16, 08:24   #518
Thomas11
 
Thomas11's Avatar
 
Feb 2003

27×3×5 Posts
Default

Quote:
Originally Posted by robert44444uk View Post
The candidate is still seriously powering along:

183 177684
184? 190958
Started from n=250k and already one prime:

185? 255530
Thomas11 is offline   Reply With Quote
Old 2013-07-16, 13:01   #519
robert44444uk
 
robert44444uk's Avatar
 
Jun 2003
Suva, Fiji

23×3×5×17 Posts
Default 186!!!!!

Good news Thomas11 for your Sierpinski candidate and very happy to see the Riesel powering along.

This candidate has another to report with all n checked to 187965

184? 190958
185? 193804
186?? 255530
robert44444uk is offline   Reply With Quote
Old 2013-07-18, 09:36   #520
Thomas11
 
Thomas11's Avatar
 
Feb 2003

27×3×5 Posts
Default

Meanwhile I completed the interval n=250-300k and found another one:

184? 190958
185? 193804
186?? 255530
187?? 294807

I will continue from n=300k.
Thomas11 is offline   Reply With Quote
Old 2013-07-19, 07:47   #521
Thomas11
 
Thomas11's Avatar
 
Feb 2003

78016 Posts
Default 188!!!

We are getting close to 190 primes:

184? 190958
185? 193804
186?? 255530
187?? 294807
188?? 318934
Thomas11 is offline   Reply With Quote
Old 2013-07-19, 08:08   #522
robert44444uk
 
robert44444uk's Avatar
 
Jun 2003
Suva, Fiji

23·3·5·17 Posts
Default 189 actually

Quote:
Originally Posted by Thomas11 View Post
We are getting close to 190 primes:

184? 190958
185? 193804
186?? 255530
187?? 294807
188?? 318934
My word you are going like a train! I have one more to report and also to report that 184 and 185 are correctly numbered. I am up to n=197249

184 190958
185 193804
186? 210616
187?? 255530
188?? 294807
189?? 318934 [/QUOTE]
robert44444uk is offline   Reply With Quote
Old 2013-07-19, 16:02   #523
robert44444uk
 
robert44444uk's Avatar
 
Jun 2003
Suva, Fiji

204010 Posts
Default 190 up!

Another found before 200K. I have completed up to 197962

186 197942
187? 210616
188? 255530
189? 294807
190? 318934
robert44444uk is offline   Reply With Quote
Old 2013-07-21, 11:12   #524
Thomas11
 
Thomas11's Avatar
 
Feb 2003

111100000002 Posts
Default 192!!!

I found a nice double:

187? 210616
188? 255530
189? 294807
190? 318934
191? 334623
192? 334645
Thomas11 is offline   Reply With Quote
Old 2013-07-22, 09:37   #525
robert44444uk
 
robert44444uk's Avatar
 
Jun 2003
Suva, Fiji

23×3×5×17 Posts
Default

Quote:
Originally Posted by Thomas11 View Post
I found a nice double:


191? 334623
192? 334645
That's the second near miss in the stratosphere

169 111235
170 111239

I'm up to 208262 without any more primes. I'm due one I hope soon.
robert44444uk is offline   Reply With Quote
Old 2013-07-24, 14:42   #526
robert44444uk
 
robert44444uk's Avatar
 
Jun 2003
Suva, Fiji

23·3·5·17 Posts
Default

Oh dear, it has gone quiet around here, which means maybe we have a gap on its way.

I'm up to n=218969 with no further primes, so

187 210616 is confirmed.

Interestingly, the candidate has no twin primes to date, only 6 Sophie Germain pairs and no longer Cunningham chains.
robert44444uk is offline   Reply With Quote
Old 2013-07-25, 15:25   #527
robert44444uk
 
robert44444uk's Avatar
 
Jun 2003
Suva, Fiji

23·3·5·17 Posts
Default

Still no new prime, up to 219623, but with empty chunks (220000-226470) and (230000-232660) done.

I thought I would plot x=nth prime versus y=ln2(ln2(k*2^n-1)) and see what I got. As expected a very linear relationship and what's more this suggests the 200th prime at about n=475,000 unless I did the maths wrong. Actually, I think it will be greater than this value.
Attached Thumbnails
Click image for larger version

Name:	Capture4.JPG
Views:	134
Size:	23.4 KB
ID:	10051  
robert44444uk is offline   Reply With Quote
Old 2013-07-25, 16:26   #528
Thomas11
 
Thomas11's Avatar
 
Feb 2003

27×3×5 Posts
Default

The plot is indeed very linear. I did similar plots for some of my Sierpinski candidates, but they are typically more "scattered".

But let me add another prime to the series:

193? 363020

The interval n=300-350k is fully tested now, continuing to 400k.
Thomas11 is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Semiprime and n-almost prime candidate for the k's with algebra for the Sierpinski/Riesel problem sweety439 sweety439 11 2020-09-23 01:42
Dual Sierpinski/Riesel prime sweety439 sweety439 0 2016-12-07 15:01
Sierpinski/ Riesel bases 6 to 18 robert44444uk Conjectures 'R Us 139 2007-12-17 05:17
Sierpinski/Riesel Base 10 rogue Conjectures 'R Us 11 2007-12-17 05:08
Sierpinski / Riesel - Base 22 michaf Conjectures 'R Us 49 2007-12-17 05:03

All times are UTC. The time now is 12:33.


Sat Feb 4 12:33:06 UTC 2023 up 170 days, 10:01, 1 user, load averages: 0.75, 0.94, 0.89

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2023, 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