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Message boards : General discussion : fully prime searched range?

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Profile [SG]Puzzle-PeterProject donor
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Joined: 14 Jun 08
Posts: 374
ID: 24128
Credit: 92,652,187
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Discovered the World's First base 68 Generalized Cullen prime!!!Eliminated 4 conjecture "k"s321 LLR Gold: Earned 500,000 credits (517,694)Cullen LLR Bronze: Earned 10,000 credits (22,649)PPS LLR Ruby: Earned 2,000,000 credits (3,716,757)PSP LLR Amethyst: Earned 1,000,000 credits (1,255,162)SoB LLR Amethyst: Earned 1,000,000 credits (1,529,355)SGS LLR Bronze: Earned 10,000 credits (79,385)TRP LLR Bronze: Earned 10,000 credits (42,673)Woodall LLR Silver: Earned 100,000 credits (360,820)321 Sieve (suspended) Bronze: Earned 10,000 credits (21,641)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,449,647)PPS Sieve Ruby: Earned 2,000,000 credits (4,110,585)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (75,714)TRP Sieve (suspended) Bronze: Earned 10,000 credits (54,880)AP 26/27 Bronze: Earned 10,000 credits (42,894)PSA Emerald: Earned 50,000,000 credits (78,365,420)
Message 10662 - Posted: 12 Sep 2008 | 17:30:20 UTC

Couldn't find the answer to this question:

all those prime search projects are looking for big prime numbers of certain specific characteristica, Proth, Sierpinski etc. That means we are probably missing a lot of primes between the ones we find. Up to which number do we know ALL primes? Is there anybody trying to extend that range?

Thanks, Peter

AlphaLaser
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Joined: 7 Aug 06
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Credit: 206,719
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PPS LLR Bronze: Earned 10,000 credits (44,451)TPS LLR (retired) Silver: Earned 100,000 credits (113,958)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (18,656)
Message 10663 - Posted: 12 Sep 2008 | 17:58:28 UTC

PrimeGrid once ran the primegen project which actually did a comprehensive sequential search of all numbers from 3 on up. You can torrent the final results here. The page indicates that the upper bound for the numbers is 210 000 000 000. However, thats minuscule compared to the numbers searched by Cullen-Woodall/TPS/etc., because primes of certain specific forms can be checked much more efficiently.

The primegen project was retired though and I am unaware of anyone else who is continuing to do a sequential search and/or searched a larger space than PrimeGrid.
____________

Marcus
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Joined: 2 Jan 08
Posts: 17
ID: 17045
Credit: 7,590,788
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321 LLR Bronze: Earned 10,000 credits (30,843)ESP LLR Silver: Earned 100,000 credits (230,243)PPS LLR Amethyst: Earned 1,000,000 credits (1,020,948)PSP LLR Gold: Earned 500,000 credits (601,400)SoB LLR Gold: Earned 500,000 credits (518,256)TRP LLR Amethyst: Earned 1,000,000 credits (1,033,050)321 Sieve (suspended) Bronze: Earned 10,000 credits (18,020)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,005,969)PPS Sieve Amethyst: Earned 1,000,000 credits (1,013,611)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,002,620)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,077,736)PSA Bronze: Earned 10,000 credits (26,858)
Message 10664 - Posted: 12 Sep 2008 | 18:07:32 UTC

There's no point doing a comprehensive search, because we don't have the storage capacity for all those primes. At least until Google makes a free online service with infinite gigabytes, then we'll continue.
Anything we can guess about the distribution of primes, we can guess from the ones already known. If someone wants a certain sized prime, there are free programs for that. Primes of special forms are more interesting, because we can search for them faster, and they might be good for something sometime (a good excuse for anything in mathematics).

Profile [SG]Puzzle-PeterProject donor
Volunteer tester
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Joined: 14 Jun 08
Posts: 374
ID: 24128
Credit: 92,652,187
RAC: 0
Discovered the World's First base 68 Generalized Cullen prime!!!Eliminated 4 conjecture "k"s321 LLR Gold: Earned 500,000 credits (517,694)Cullen LLR Bronze: Earned 10,000 credits (22,649)PPS LLR Ruby: Earned 2,000,000 credits (3,716,757)PSP LLR Amethyst: Earned 1,000,000 credits (1,255,162)SoB LLR Amethyst: Earned 1,000,000 credits (1,529,355)SGS LLR Bronze: Earned 10,000 credits (79,385)TRP LLR Bronze: Earned 10,000 credits (42,673)Woodall LLR Silver: Earned 100,000 credits (360,820)321 Sieve (suspended) Bronze: Earned 10,000 credits (21,641)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,449,647)PPS Sieve Ruby: Earned 2,000,000 credits (4,110,585)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (75,714)TRP Sieve (suspended) Bronze: Earned 10,000 credits (54,880)AP 26/27 Bronze: Earned 10,000 credits (42,894)PSA Emerald: Earned 50,000,000 credits (78,365,420)
Message 10666 - Posted: 13 Sep 2008 | 5:48:55 UTC

Thanks for your answers!

Regards, Peter

Message boards : General discussion : fully prime searched range?

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