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Message boards : General discussion : Largest prime in complete list of primes

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profBolz
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321 LLR Bronze: Earned 10,000 credits (10,039)Cullen LLR Bronze: Earned 10,000 credits (21,567)ESP LLR Bronze: Earned 10,000 credits (65,017)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (115,261)PPS LLR Jade: Earned 10,000,000 credits (19,396,401)SoB LLR Amethyst: Earned 1,000,000 credits (1,732,894)SR5 LLR Silver: Earned 100,000 credits (325,117)SGS LLR Gold: Earned 500,000 credits (722,714)TRP LLR Bronze: Earned 10,000 credits (62,564)Woodall LLR Bronze: Earned 10,000 credits (18,231)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (37,135)PPS Sieve Bronze: Earned 10,000 credits (20,226)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (41,438)GFN Gold: Earned 500,000 credits (522,070)
Message 89766 - Posted: 16 Nov 2015 | 13:51:29 UTC

Do you know the largest prime for which every prime smaller then this is known?
In other words: What is the largest prime if you have a complete list of primes?

Profile Michael GoetzProject donor
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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 2 primes in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,132,712)Cullen LLR Turquoise: Earned 5,000,000 credits (5,038,114)ESP LLR Turquoise: Earned 5,000,000 credits (6,177,890)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,094,541)PPS LLR Sapphire: Earned 20,000,000 credits (20,817,335)PSP LLR Turquoise: Earned 5,000,000 credits (7,956,186)SoB LLR Sapphire: Earned 20,000,000 credits (36,067,618)SR5 LLR Jade: Earned 10,000,000 credits (10,007,110)SGS LLR Ruby: Earned 2,000,000 credits (4,873,505)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Turquoise: Earned 5,000,000 credits (5,032,821)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,885,121)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Jade: Earned 10,000,000 credits (10,902,645)GFN Emerald: Earned 50,000,000 credits (90,173,052)WW Emerald: Earned 50,000,000 credits (52,004,000)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 89767 - Posted: 16 Nov 2015 | 14:27:41 UTC - in response to Message 89766.

Do you know the largest prime for which every prime smaller then this is known?
In other words: What is the largest prime if you have a complete list of primes?


That's a difficult question to answer.

Please see https://primes.utm.edu/notes/faq/LongestList.html for an explanation.

If you want to see a list of the 50 million smallest primes, it's here: https://primes.utm.edu/lists/small/millions/.

Want more? Supposedly this links to the first 37 billion primes. I haven't counted. http://www.primos.mat.br/indexen.html

Lastly, according to https://en.wikipedia.org/wiki/List_of_prime_numbers, the Goldbach Conjecture verification project has computed all primes below 4*10^18. That's nearly 10^17 primes, but they were only computed, and not stored.
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Message boards : General discussion : Largest prime in complete list of primes

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