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Use this forum to post questions about math problems. This can include general questions about pure mathematics and applied mathematics. Club members are invited to post solutions or answers to your questions. If you have questions or comments about how we run the Math and Chess Club, use the following link. Math and Chess Club Suggestion Box You can also create a new forum topic for the Math and Chess Club or chess.com. Math and Chess Club Forum Chess.com Forum

Welcome to the Math and Chess Club! Links on the Info page are organized by color. Chess.com links are purple. Wikipedia links are the default color (blue on most computers). Other website links are orange. New and updated links are italic. CHESS LINKS Anyone that abides by fair play rules is invited to play chess for our team. Admins and Coordinators are eligible to join our Administrative Club. Members must follow the Community Policies and Fair Play Policy. Opening databases and opening books are permitted in Daily Chess and Vote Chess, but the use of engines and tablebases is never permitted. Fair Play and Cheating (Chess.com Support) Fair Play and Cheat-Detection (Article by Chess.com Help) 🤔 How many different chess positions are there? 🤔 How many different chess960 positions exist after one move by each side? 🤔 Geometric Chess Puzzles 🇳🇴 Magnus Carlsen | World Rank #1 🇨🇳 Ding Liren | 2023 World Champion 🇮🇳 Gukesh Dommaraju | 2024 World Champion 🇨🇳 Ju Wenjun | Women's World Champion ♟️ PRO Chess League ♟️ The Youngest Chess Grandmasters In History ♟️ FIDE Top 100 Player Lists List of top players in Standard, Rapid and Blitz competition List of top players in Open, Women, Juniors and Girls categories ♟️ United States Chess Federation Top Player Lists ♟️ Wikipedia Chess Links List of World Chess Champions Comparison of top chess players throughout history List of female chess grandmasters FIDE world rankings List of chess players by peak FIDE rating List of FIDE chess world number ones MATH LINKS ♟️ International Mathematical Union Fields Medal (IMU) Fields Medal (Wikipedia) ♟️ American Mathematical Society ♟️ Mathematical Association of America American Mathematics Competitions ♟️ International Mathematical Olympiad IMO Problems (in English with recent problems in various languages) IMO 1988 problem 6 and IMO 2017 problem 3 are notoriously difficult. International Mathematical Olympiad (Wikipedia) ♟️ Clay Mathematics Institute Millennium Prize Problems ♟️ Math and Science News Websites MIT News | Mathematics New York Times | Mathematics Phys.org | Mathematics Quanta Magazine | Mathematics Science Daily | Mathematics Science News | Mathematics Scientific American | Mathematics WIRED Magazine | Mathematics Popular Mechanics | Mathematics The 10 Biggest Math Breakthroughs of 2019 ♟️ Wikipedia Mathematics (links to all Wikipedia math pages) List of unsolved problems in mathematics The club picture is a rotating fractal tesseract. ♟️ On-Line Encyclopedia of Integer Sequences OEIS Sequence A000040 (prime numbers) OEIS Sequence A000045 (Fibonacci numbers) On-Line Encyclopedia of Integer Sequences (Wikipedia) List of integer sequences (Wikipedia) ♟️ Doing Math With JavaScript Prime Factors Calculator Big Integer Calculator (100 or more digits) One googol is 10100, which is 1 followed by 100 zeros. The largest prime number less than one googol is (10100) – 797 = 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203. The smallest prime number greater than one googol is (10100) + 267 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000267. ♟️ Prime number Mersenne prime In binary, a Mersenne number is a positive integer where every digit is a 1. Great Internet Mersenne Prime Search As of December 2020, the largest known prime number is (2^82,589,933) – 1. In binary, this number is represented by 82,589,933 consecutive ones. Sieve of Eratosthenes ♟️ Set theory List of set theory topics Ordinal number Cardinal number Ordinal numbers up to ωω ♟️ SAPAVIVA The 100 Greatest Scientists 1. Isaac Newton 2. Leonhard Euler The 50 Greatest Mathematicians 1. Leonhard Euler 2. Carl Friedrich Gauss 🎂 Math Birthdays Isaac Newton (4 January 1643) | Calculus Leonhard Euler (15 April 1707) | Euler's Identity Carl Friedrich Gauss (30 April 1777) William Rowan Hamilton (4 August 1805) | Quaternion Karl Weierstrass (31 October 1815) | Weierstrass function Bernhard Riemann (17 September 1826) | Riemann hypothesis Georg Cantor (3 March 1845) | Set theory Sofya Kovalevskaya (15 January 1850) David Hilbert (23 January 1862) | Hilbert's Hotel Ernst Zermelo (27 July 1871) | Zermelo's theorem (game theory) | Solving chess Albert Einstein (14 March 1879) | Theory of relativity Emmy Noether (23 March 1882) Erwin Schrödinger (12 August 1887) | Schrödinger's cat Srinivasa Ramanujan (22 December 1887) Abraham Fraenkel (17 February 1891) | Zermelo–Fraenkel set theory John von Neumann (28 December 1903) | Von Neumann universe Kurt Gödel (28 April 1906) | Gödel's incompleteness theorems Paul Cohen (2 April 1934) | Continuum hypothesis Andrew Wiles (11 April 1953) | Fermat's Last Theorem Terence Tao (17 July 1975) | Fields Medal James Maynard (10 June 1987) | Fields Medal ♟️ Gödel, Escher, Bach is a Pulitzer Prize winning book by Douglas Hofstadter. ♟️ Infinity and the Mind by Rudy Rucker Free online browsing edition Updated 6 January 2025

Use this forum to post questions, comments, suggestions or complaints about how the Math and Chess Club is run. This can include new ideas for the club, or things you would like to see the club do in the future. If you have questions about specific math problems or math topics, use the following link. Math Questions and Answers You can also create a new forum topic for the Math and Chess Club or chess.com. Math and Chess Club Forum Chess.com Forum

Two points (A and B) will be chosen at random on a circle. A chord will be drawn between the two points. What is the probability that the chord's length is less than that of the radius? (Basically, what is the probability that AB<r). I came up with this on my own and solved it on my own. Although I'm sure someone has done both of those things before.

Give a hard math question,whoever gives the hardest wins 1 pi.

Just use Pi

Fig. 1 and Fig. 2 have the same area a2+b2, and they are square, so they have the same edges in each and together. a2+02=c2 and 02+02=02 are trivial. Fig. 3 and 4 suggest c=a+x and c=b+y. c will fit in the square because a and b fit in the square (fig. 5). WLOG (without loss of generality) c can connect edges. We can connect adjacent edges like fig. 6, have an edge like fig. 7, or connect opposite edges like fig. 8. In the case of figure 6 we can have those edges be a and b. In fig. 6 we want each triangle to be a and b and to be the same size so it stretches around perfectly. Note that c2 < the total square area. This means that c2 < a2 + b2 but we need to prove that impossible. See fig. 9. BC will be y. GH will be x so that CD will be x. So BC= a and y and CD = b and x. Note that x2 < b2 and y2 < a2 so that x2+y2 < a2+b2 but they are also equal. a2+b2 < a2 + b2, a contradiction. Then c2 is not less than a2+b2 Next we try fig. 10. This time it stretches past the length of an edge of the big square. One side will be a+x and b+y, so it will be bigger than a and bigger than b. That means we don’t have to consider it since it cannot be a and b. Then c2 is not greater than a2+b2 The only thing left is that c is a side of the big square or parallel to it. c2 = a2+b2 or if we look at (a+x)2 and (b+y)2 together we also get 2c2 = 2a2+2b2. It will look like figs. 11 and 12. Note that in fig. 12 it won’t be the same as like fig. 9 (it won’t stretch around evenly).

141-34x 1/2 or this                                                                      which move saves black

Tau Day is getting closer! STOP USING π RIGHT NOW. π causes many problems for students learning advanced math around the world. τ solves these problems. Tau makes trigonometry and calculus easier for students to learn. It is vital that we switch from π to τ as soon as possible. Days until Tau Day (6/28): 14 Link of the day: https://www.tauday.com/a-tau-testimonial  Enjoy this article, it highlights the importance of switching to tau. τ4ever

Tree(Tree(Tree(Tree(Tree(Tree(Tree(Tree(Tree(Tree(Tree((3)))))))))))

Angles of the same color have the same measure. What is the measure of the green angle?A) 30 degrees B) 35 degrees C) 40 degrees D) 45 degrees

What we thinking? Gauss? Euler? Newton? Lets have a debate.  Mention the field of math and why the person is the best at the field. Idea from @Maestro_Q

www.mathfactlab.com

What do we want the most 1) More math riddles 2) Daily matches 3) Vote chess 4) Club tournament for prizes  5) Other.. type in forum Thanks for voting everyone! 

Two patterns for pi in the Torah found today on pi day. Aleph beit gimmel aleph beit gimmel (triplets) #112 Mine. B only. Triplets are another pattern through verse 1. Aleph beit gimmel aleph beit gimmel (triplets) #112 Mine. B only. In the first verse, we take 3 letters at a time, subtract the first two and the last two, and then subtract the two results. We get 1,1,1,4,9,1,11,16,15 and then the last letter is 27. Notice all the 1s and squares of numbers. Also, 11 is a 1 put next to a 1. For the 15 and 27, 27 is 33 and if we switch the 5 and 2, 125 is 53 (25 is 52). For 15-27, 2,5,7,15,17,127,215,217 and 257 are also all one away from numbers that are exponents of small numbers. 512 is an exponent and like above comes from rearranging two digits of 15-27. 15-27 seems to give the maximum amount of these numbers of any four-digit combination. Also we did 1257. Looping the digits around from 7 back 1, the differences are 1,3,2 and 4. These are consecutive integers. They also make pi, so if we have 5217 we get pi or 3.142. 5217 = 3*37*47. 37 is a Star of David number very common in my patterns. 3*47 = 141, giving us 3.141 so we have pi=3.142 and pi=3.141. It is in fact 3.1416.

https://www.instagram.com/rhhs_math/reel/C4gB8cAsD5b/

My IQ is 162 and I am quite curious about what other players in the chess community have scored. Thank you for any responses given.

Hey guys! There's this new video about what 0 divided by 0 actually equals, and it debunks a big misconception. It's actually a great explanation of 0/0, and I can't believe I didn't realize that almost every other explanation I found online was actually wrong. You guys should definitely check it out, and post what you guys think about it here on the notes. Here's the link: https://www.youtube.com/watch?v=gK_R4eOLPq0&t=5s

Comment on the fact math is better than ELA, math's old enemy and it embraces with science!

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