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Message boards : News : Another 321 Mega Prime!

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ReggieProject donor
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Joined: 10 May 14
Posts: 217
ID: 311759
Credit: 200,665,243
RAC: 37
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,046,192)Cullen LLR Ruby: Earned 2,000,000 credits (2,026,465)ESP LLR Ruby: Earned 2,000,000 credits (2,053,710)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,221,569)PPS LLR Jade: Earned 10,000,000 credits (10,879,274)PSP LLR Amethyst: Earned 1,000,000 credits (1,587,883)SoB LLR Ruby: Earned 2,000,000 credits (2,305,993)SR5 LLR Ruby: Earned 2,000,000 credits (2,023,467)SGS LLR Ruby: Earned 2,000,000 credits (2,682,790)TRP LLR Amethyst: Earned 1,000,000 credits (1,121,859)Woodall LLR Amethyst: Earned 1,000,000 credits (1,686,633)321 Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,000,211)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,420)PPS Sieve Sapphire: Earned 20,000,000 credits (22,440,747)AP 26/27 Sapphire: Earned 20,000,000 credits (20,526,311)GFN Emerald: Earned 50,000,000 credits (54,814,831)WW Emerald: Earned 50,000,000 credits (50,172,000)PSA Sapphire: Earned 20,000,000 credits (20,070,245)
Message 155340 - Posted: 8 May 2022 | 14:13:50 UTC

On 24 March 2022, 17:27:33 UTC, PrimeGrid’s 321 Prime Search found the Mega Prime:

3*2^18924988-1

The prime is 5,696,990 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 18th overall.

The discovery was made by Frank Matillek (boss) of Germany using an Intel CPU with 1GB RAM, running Ubuntu Linux. This computer took about 1 day, 1 hour, 39 minutes to complete the primality test using LLR2. Frank Matillek is a member of the SETI.Germany team.

For more details, please see the official announcement.

Profile JeppeSNProject donor
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Joined: 5 Apr 14
Posts: 1724
ID: 306875
Credit: 41,357,008
RAC: 13,554
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 (16,515,488)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 155357 - Posted: 9 May 2022 | 20:49:00 UTC

Just to be very pedantic, since this was a c=-1 task, and since the subproject uses Gerbicz checks to detect random hardware errors during the calculation, the original computation by boss's computer was only a PRP test.

As of now, I can still see the task, and it says:

Gerbicz check is requested, switching to PRP. Starting probable prime test of 3*2^18924988-1

Of course, the prime has been rigorously proved prime afterwards (with an N+1 test without Gerbicz check, first on PrimeGrid's hardware using LLR, then on the Prime Pages' hardware using PFGW).

/JeppeSN

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Message boards : News : Another 321 Mega Prime!

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