mersenneforum.org  

Go Back   mersenneforum.org > Prime Search Projects > And now for something completely different

Reply
 
Thread Tools
Old 2021-04-22, 04:51   #23
MrRepunit
 
MrRepunit's Avatar
 
Mar 2011
Germany

97 Posts
Default

mprime check confirmed that it is a prime:
[Work thread Apr 22 02:26] (10^5794777-1)/9 is a probable prime! Wh8: FCA5F7FA,00000000


[Thu Apr 22 02:26:59 2021]
{"status":"P", "k":1, "b":10, "n":5794777, "c":-1, "known-factors":["9"], "worktype":"PRP-3", "fft-length":1146880, "error-code":"00000000", "security-code":"FCA5F7FA", "program":{"name":"Prime95", "version":"30.5", "build":2, "port":8}, "timestamp":"2021-04-22 00:26:59"}

MrRepunit is offline   Reply With Quote
Old 2021-04-22, 18:15   #24
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

3×1,451 Posts
Default

Quote:
Originally Posted by paulunderwood View Post
I am currently testing it for Lucas over x^2-4*x+1
It failed. I am rerunning with 3 FFT sizes bigger. ETA 3 days.
paulunderwood is offline   Reply With Quote
Old 2021-04-22, 18:41   #25
rudy235
 
rudy235's Avatar
 
Jun 2015
Vallejo, CA/.

24·71 Posts
Default

Sergei and Ryan: Congratulations to both of you! This is an incredible achievement!


We now have 4 proven repunits and 5 PRP

This one took almost 14 years to come to light.

I can only hope that in the next 14 years someone proves R49081 to be a prime.
rudy235 is offline   Reply With Quote
Old 2021-04-22, 18:45   #26
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

110116 Posts
Default

Quote:
Originally Posted by rudy235 View Post
I can only hope that in the next 14 years someone proves R49081 to be a prime.
I am 10.5 months into certification -- I now guess it will be done by Christmas
paulunderwood is offline   Reply With Quote
Old 2021-04-22, 18:53   #27
rudy235
 
rudy235's Avatar
 
Jun 2015
Vallejo, CA/.

24·71 Posts
Default

Quote:
Originally Posted by paulunderwood View Post
I am 10.5 months into certification -- I now guess it will be done by Christmas
That is so cool! How are you going about it?
rudy235 is offline   Reply With Quote
Old 2021-04-22, 18:55   #28
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

435310 Posts
Default

Quote:
Originally Posted by rudy235 View Post
That is so cool! How are you going about it?
Primo on a 3990X 24/7.
paulunderwood is offline   Reply With Quote
Old 2021-04-23, 00:47   #29
Dr Sardonicus
 
Dr Sardonicus's Avatar
 
Feb 2017
Nowhere

32×677 Posts
Default

Quote:
Originally Posted by paulunderwood View Post
Quote:
Originally Posted by rudy235 View Post
I can only hope that in the next 14 years someone proves R49081 to be a prime.
I am 10.5 months into certification -- I now guess it will be done by Christmas
I was wondering whether anyone was trying to prove it prime. I decided getting enough factors of N-1 was probably hopeless, but that Primo had an outside chance, but it might take a long time. IIRC, if successful it would more than double the number of decimal digits for the largest number proved prime by Primo.

Best of luck, brave Sir!

EDIT: If I'd bothered checking my own post here which I was incorrectly remembering, I would have seen

Partition(1289844341)

which is 40000 decimal digits (not 20000)

was the largest number proved prime by Primo, and by our intrepid prime-prover in the present instance.

Last fiddled with by Dr Sardonicus on 2021-04-23 at 01:21
Dr Sardonicus is offline   Reply With Quote
Old 2021-04-23, 06:25   #30
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

3·1,451 Posts
Default

R5794777 is "officially" the top PRP.
paulunderwood is offline   Reply With Quote
Old 2021-04-27, 17:17   #31
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

435310 Posts
Default

I have had 3 failed Lucas tests (x^2-4*x+1) at increasing FFT sizes for R5794777. All used the special mod reduction, but no slow/safe iterations at the beginning and end. I am now trying general mod reduction with an increase in FFT size of 6, but this will take weeks.

Serge, have you completed any tests with a Lucas component yet?
paulunderwood is offline   Reply With Quote
Old 2021-04-27, 23:21   #32
Batalov
 
Batalov's Avatar
 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

2×4,993 Posts
Default

... and Frobenuis, too!

Yes. Several trifectas obtained. (a = 3, 7, 11 and 17.)
Batalov is offline   Reply With Quote
Old 2021-04-27, 23:41   #33
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

3×1,451 Posts
Default

Quote:
Originally Posted by Batalov View Post
... and Frobenuis, too!

Yes. Several trifectas obtained. (a = 3, 7, 11 and 17.)
Thanks. I give up on running generic mod reduction. It would be better to spend a few hours writing slow intro and outro into my code.
paulunderwood is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Generalized Repunit primes Bob Underwood Math 12 2020-10-11 20:01
Some CADO-NFS Work At Around 175-180 Decimal Digits EdH CADO-NFS 127 2020-10-07 01:47
Integers congruent to last two decimal digits mod 23 enzocreti enzocreti 1 2020-03-03 18:38
Twin Primes with 128 Decimal Digits tuckerkao Miscellaneous Math 2 2020-02-16 06:23
records for primes 3.14159 Information & Answers 8 2018-12-09 00:08

All times are UTC. The time now is 15:26.


Mon Nov 28 15:26:59 UTC 2022 up 102 days, 12:55, 0 users, load averages: 1.61, 1.80, 1.63

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