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Message boards : Project Staging Area : New Factorial prime

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Joined: 25 Feb 20
Posts: 511
ID: 1241833
Credit: 408,387,215
RAC: 24,259
321 LLR Ruby: Earned 2,000,000 credits (2,092,823)Cullen LLR Ruby: Earned 2,000,000 credits (2,315,295)ESP LLR Ruby: Earned 2,000,000 credits (2,151,088)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,620,968)PPS LLR Jade: Earned 10,000,000 credits (11,515,074)PSP LLR Ruby: Earned 2,000,000 credits (2,064,832)SoB LLR Ruby: Earned 2,000,000 credits (2,434,466)SR5 LLR Ruby: Earned 2,000,000 credits (2,065,004)SGS LLR Ruby: Earned 2,000,000 credits (2,027,649)TRP LLR Ruby: Earned 2,000,000 credits (2,089,856)Woodall LLR Ruby: Earned 2,000,000 credits (2,112,258)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Turquoise: Earned 5,000,000 credits (5,096,952)AP 26/27 Turquoise: Earned 5,000,000 credits (5,797,662)GFN Jade: Earned 10,000,000 credits (10,874,159)WW Double Silver: Earned 200,000,000 credits (349,980,000)PSA Amethyst: Earned 1,000,000 credits (1,042,601)
Message 153190 - Posted: 11 Jan 2022 | 7:10:04 UTC

When I saw this I was excited at first, but seeing how it's that close to PRPnet's wavefront makes me a bit suspicious...

https://primes.utm.edu/primes/page.php?id=133139

Of course Factorial primes aren't exclusive to PRPnet, but it still makes a not-so-good impression.
____________
1281979 * 2^485014 + 1 is prime ... no further hits up to: n = 5,700,000

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Joined: 5 Apr 14
Posts: 1724
ID: 306875
Credit: 41,343,356
RAC: 13,794
Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (16,501,798)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,228,147)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 153192 - Posted: 11 Jan 2022 | 7:36:55 UTC

Some observations I also did on Discord:


  • Same user (p3 : Dohmen, OpenPFGW) also found the previous n! + 1 prime ahead of PrimeGrid, more than 10 years ago
  • PrimeGrid also missed the most recent n! - 1 prime in 2016; PrimeGrid's factorial list
  • The Top Twenty: Factorial Primes will now finally be full; 20 primes of type n! + 1 or n! - 1 with at least 1000 digits


/JeppeSN

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Joined: 25 Feb 20
Posts: 511
ID: 1241833
Credit: 408,387,215
RAC: 24,259
321 LLR Ruby: Earned 2,000,000 credits (2,092,823)Cullen LLR Ruby: Earned 2,000,000 credits (2,315,295)ESP LLR Ruby: Earned 2,000,000 credits (2,151,088)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,620,968)PPS LLR Jade: Earned 10,000,000 credits (11,515,074)PSP LLR Ruby: Earned 2,000,000 credits (2,064,832)SoB LLR Ruby: Earned 2,000,000 credits (2,434,466)SR5 LLR Ruby: Earned 2,000,000 credits (2,065,004)SGS LLR Ruby: Earned 2,000,000 credits (2,027,649)TRP LLR Ruby: Earned 2,000,000 credits (2,089,856)Woodall LLR Ruby: Earned 2,000,000 credits (2,112,258)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Turquoise: Earned 5,000,000 credits (5,096,952)AP 26/27 Turquoise: Earned 5,000,000 credits (5,797,662)GFN Jade: Earned 10,000,000 credits (10,874,159)WW Double Silver: Earned 200,000,000 credits (349,980,000)PSA Amethyst: Earned 1,000,000 credits (1,042,601)
Message 153194 - Posted: 11 Jan 2022 | 9:51:04 UTC

I'm not sure if it's in some way "unfair" or not. One thing would be that his negative results aren't published whereas PRPnet's are. But unless he has serious computational power the few negatives he produces wouldn't have helped PRPnet that much.

If he works fully independent, I'd have no problem, after all nobody owns Factorials, but if he uses PRPnet to some extent - and him being that close to the edge make it seem like it - that would be like poaching. Does anyone know if he's involved somewhere like Mersenneforum?
____________
1281979 * 2^485014 + 1 is prime ... no further hits up to: n = 5,700,000

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Joined: 5 Apr 14
Posts: 1724
ID: 306875
Credit: 41,343,356
RAC: 13,794
Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (16,501,798)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,228,147)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 153207 - Posted: 11 Jan 2022 | 17:23:16 UTC

It appears his previous prime was in August 2012. It seems he has not found primes together with collaborative projects like PrimeGrid, No Prime Left Behind, Conjectures'R'Us, or similar. /JeppeSN

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Joined: 8 Sep 07
Posts: 1249
ID: 12001
Credit: 18,565,548
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PPS LLR Bronze: Earned 10,000 credits (31,229)PSA Jade: Earned 10,000,000 credits (18,533,435)
Message 153239 - Posted: 13 Jan 2022 | 13:54:19 UTC

It makes me wonder if he grabbed has the file of candidates (post-sieving) generated by PrimeGrid. There is no mention of other software, but trial division alone would leave a lot of candidates that sieving would eliminate. It is possible that he has his own sieving software, but as I said, there is no mention of it. There are not many participants on PrimeGrid's Factorial search in PRPNet, so if he has many cores, it isn't unreasonable for him to find it first.

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Joined: 5 Feb 08
Posts: 1212
ID: 18646
Credit: 814,372,634
RAC: 91,720
Found 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,010,156)Cullen LLR Amethyst: Earned 1,000,000 credits (1,086,094)ESP LLR Ruby: Earned 2,000,000 credits (2,041,296)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,485,634)PPS LLR Turquoise: Earned 5,000,000 credits (6,287,904)PSP LLR Ruby: Earned 2,000,000 credits (2,031,356)SoB LLR Turquoise: Earned 5,000,000 credits (7,918,076)SR5 LLR Ruby: Earned 2,000,000 credits (2,515,068)SGS LLR Amethyst: Earned 1,000,000 credits (1,163,706)TRP LLR Ruby: Earned 2,000,000 credits (3,832,495)Woodall LLR Ruby: Earned 2,000,000 credits (2,003,498)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,432,077)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,967,439)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,137,451)PPS Sieve Double Silver: Earned 200,000,000 credits (307,478,712)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (627,444)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (3,956,401)AP 26/27 Sapphire: Earned 20,000,000 credits (46,902,430)GFN Emerald: Earned 50,000,000 credits (79,811,578)WW Double Silver: Earned 200,000,000 credits (244,592,000)PSA Emerald: Earned 50,000,000 credits (89,095,102)
Message 154943 - Posted: 25 Mar 2022 | 17:04:21 UTC

did we miss a hit on 03/21/22 ??
"User PDW has found 1 prime and 0 PRPs, 1 is hidden"
http://prpnet.primegrid.com:12002/user_primes.html
____________
Sysadm@Nbg
my current lucky number: 113856050^65536 + 1
PSA-PRPNet-Stats-URL: http://u-g-f.de/PRPNet/

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Joined: 14 Nov 14
Posts: 33
ID: 373199
Credit: 2,522,700,814
RAC: 113,675
321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Jade: Earned 10,000,000 credits (10,019,714)SoB LLR Jade: Earned 10,000,000 credits (10,000,460)SR5 LLR Amethyst: Earned 1,000,000 credits (1,000,321)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Turquoise: Earned 5,000,000 credits (6,969,253)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,172,188,125)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)WW Double Bronze: Earned 100,000,000 credits (100,000,000)PSA Ruby: Earned 2,000,000 credits (4,643,008)
Message 154944 - Posted: 25 Mar 2022 | 17:18:56 UTC - in response to Message 154943.

I looked it up when I found it and someone else had already reported it earlier this year...

Factorial Prime Search
288465!+1 is 3-PRP! (35269.7350s+5.3082s)

Primality testing 288465!+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 288467
Running N-1 test using base 288481
288465!+1 is prime! (105420.5472s+5.2478s)

[2022-03-21 00:46:32 GST] 288465!+1 proven prime by pfgw64.exe. Time: 105421 seconds
[2022-03-21 00:46:32 GST] FPS: 288465!+1 is prime

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Joined: 5 Feb 08
Posts: 1212
ID: 18646
Credit: 814,372,634
RAC: 91,720
Found 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,010,156)Cullen LLR Amethyst: Earned 1,000,000 credits (1,086,094)ESP LLR Ruby: Earned 2,000,000 credits (2,041,296)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,485,634)PPS LLR Turquoise: Earned 5,000,000 credits (6,287,904)PSP LLR Ruby: Earned 2,000,000 credits (2,031,356)SoB LLR Turquoise: Earned 5,000,000 credits (7,918,076)SR5 LLR Ruby: Earned 2,000,000 credits (2,515,068)SGS LLR Amethyst: Earned 1,000,000 credits (1,163,706)TRP LLR Ruby: Earned 2,000,000 credits (3,832,495)Woodall LLR Ruby: Earned 2,000,000 credits (2,003,498)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,432,077)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,967,439)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,137,451)PPS Sieve Double Silver: Earned 200,000,000 credits (307,478,712)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (627,444)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (3,956,401)AP 26/27 Sapphire: Earned 20,000,000 credits (46,902,430)GFN Emerald: Earned 50,000,000 credits (79,811,578)WW Double Silver: Earned 200,000,000 credits (244,592,000)PSA Emerald: Earned 50,000,000 credits (89,095,102)
Message 154945 - Posted: 25 Mar 2022 | 18:08:33 UTC - in response to Message 154944.

oh no, sh*t!
but congratulations on the find anyway
____________
Sysadm@Nbg
my current lucky number: 113856050^65536 + 1
PSA-PRPNet-Stats-URL: http://u-g-f.de/PRPNet/

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Joined: 5 Apr 14
Posts: 1724
ID: 306875
Credit: 41,343,356
RAC: 13,794
Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Jade: Earned 10,000,000 credits (16,501,798)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,228,147)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 154946 - Posted: 25 Mar 2022 | 18:12:41 UTC - in response to Message 154944.

This prime, 288465! + 1, is exactly the one the initial post in this thread was about. I can repeat the link Factorial Top Twenty where the largest known instances can be seen. The leading edge of our search can be seen on Factorial Prime Search - Server Statistics.

There are two known factorial primes ahead of us. It is possible (but unknown) that the entire range from our current leading edge up to n=422429 and beyond are already fully searched by people not going through PrimeGrid.

I am not sure if the 1 hidden prime on the User Primes should be "processed" somehow. It may be an idea to remove 308084! + 1 and 422429! + 1 from the "backlog" of PRPNet candidates; then they should not become "hidden primes" in the future.

/JeppeSN

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