mersenneforum.org  

Go Back   mersenneforum.org > Great Internet Mersenne Prime Search > Math

Reply
 
Thread Tools
Old 2022-07-05, 15:25   #1
charybdis
 
charybdis's Avatar
 
Apr 2020

2×19×23 Posts
Default Fields Medals 2022

...have been awarded to Hugo Duminil-Copin, June Huh, James Maynard and Maryna Viazovska.
No surprises here, unlike in 2018.
Huh's award is further proof that the best way to win a Fields Medal in combinatorics is to connect it to other disciplines.

Maynard is the one whose work will be most familiar to readers of this forum. He is most well-known for his proof that there are infinitely many pairs of primes separated by at most 600, but he has many other important and interesting results about prime numbers - for example he has proved that for every digit there are infinitely many primes that do not contain that digit.
charybdis is offline   Reply With Quote
Old 2022-07-18, 08:10   #2
MattcAnderson
 
MattcAnderson's Avatar
 
"Matthew Anderson"
Dec 2010
Oregon, USA

2·19·31 Posts
Smile

The bounded gaps between primes theorem can be seen here.
https://asone.ai/polymath/index.php?...between_primes

The best result is that there are an infinite number of pairs of primes that differ by at most 246.
Maynard's result of 600 is good, but not the best so far.
Have a nice day.
Matt
MattcAnderson is offline   Reply With Quote
Old 2022-07-18, 10:44   #3
charybdis
 
charybdis's Avatar
 
Apr 2020

2·19·23 Posts
Default

Quote:
Originally Posted by MattcAnderson View Post
The best result is that there are an infinite number of pairs of primes that differ by at most 246.
Maynard's result of 600 is good, but not the best so far.
Have a nice day.
Matt
Maynard's 600 was the best known bound at the time, and all the subsequent better bounds from Polymath were based on his work. His paper was also the first to show there are interval sizes that must contain 3, 4, 5... primes infinitely often.
charybdis is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Everyone likes quadratic fields? fivemack Miscellaneous Math 3 2020-01-09 03:05
Pseudoprimes in special fields devarajkandadai Number Theory Discussion Group 7 2017-12-06 01:46
Questions about Number Fields Raman Miscellaneous Math 5 2013-06-12 13:54
pari-gp and trigonometry in Galois fields __HRB__ Math 1 2010-06-12 20:09
On the basis of finite fields meng_luckywolf Math 6 2007-12-13 04:21

All times are UTC. The time now is 15:40.


Sun Nov 27 15:40:49 UTC 2022 up 101 days, 13:09, 1 user, load averages: 0.88, 0.93, 1.00

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