RadMaths

Welcome to RadMaths! We will update popular maths problems and discussions to help you learn, think more and advance in Maths.
Science(and programming!) to be included in MadScience :)
MATHATHON by Percy Jackson
Mathathon 2020
Mathathon 2021

list of 1000 primes - FOR NORMAL USERS
list of primes to a million(78498 primes) - FOR CODERS (aware:may take 1 minute to load)

COURSES:
Calculus
Science

LATE EVENTS:
approximating a slice of pi
approximating a slice of pi - remade
Finding number of prime factors

Problems:

Discussions:

Formatting:

Note by Jeff Giff
1 year, 1 month ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

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Top Newest

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It doesn't work.

A Former Brilliant Member - 5 months, 3 weeks ago

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But it is working in my PC Right now!

Zakir Husain - 5 months, 3 weeks ago

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@Zakir Husain Ya, it works now, I submitted :)

A Former Brilliant Member - 5 months, 3 weeks ago

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Nice and very simple quiz

10/1010/10 for the interesting thought for making the question

Frisk Dreemurr - 5 months, 3 weeks ago

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Ah but I can’t access it in mainland China :P

Jeff Giff - 5 months, 3 weeks ago

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e

A new one!

Zakir Husain - 5 months, 3 weeks ago

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Now it started! @Vinayak Srivastava @Mahdi Raza @Frisk Dreemurr @Aryan Sanghi @Yajat Shamji @Siddharth Chakravarty

Zakir Husain - 5 months, 3 weeks ago

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@Zakir Husain I suppose I’m the only person still awake yet I cannot access to Google! :P

Jeff Giff - 5 months, 3 weeks ago

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@Zakir Husain Nice quiz! Can you tell me how to solve the second last one? Rest of them felt like I have seen them somewhere in Physics, even though I haven't learnt them in math! Especially the last one, it reminded me directly of equation of a wave. Guessed a few by elimination.

Vin_Math 91 - 5 months, 3 weeks ago

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@Vin_Math 91 Solution of second last one (with standard notations) : bn+1=bn(1an)b_{n+1}=b_n(\frac{1}{a}-n) =bn1(1a(n1))(1an)=b_{n-1}(\frac{1}{a}-(n-1))(\frac{1}{a}-n) =(1an)(1a(n1))...(1a1)1a=k=0n(1ak)=(\frac{1}{a}-n)(\frac{1}{a}-(n-1))...(\frac{1}{a}-1)\frac{1}{a}=\prod_{k=0}^{n}(\frac{1}{a}-k) bn+1=k=0n(1ak)\Rightarrow b_{n+1}=\prod_{k=0}^{n}(\frac{1}{a}-k) bn=k=0n1(1ak)\therefore b_{n}=\prod_{k=0}^{n-1}(\frac{1}{a}-k) bnan=ank=0n1(1ak)\Rightarrow b_na^n=a^n\prod_{k=0}^{n-1}(\frac{1}{a}-k) =k=0n1a(1ak)=\prod_{k=0}^{n-1}a(\frac{1}{a}-k) =k=0n1(1ak)=\prod_{k=0}^{n-1}(1-ak) lima0bnan=lima0k=0n1(1ak)\therefore\lim_{a\to 0} b_na^n=\lim_{a\to 0} \prod_{k=0}^{n-1}(1-ak) =k=0n1lima0(1ak)=k=0n11=1=\prod_{k=0}^{n-1}\lim_{a\to 0}(1-ak)=\prod_{k=0}^{n-1}1=1 lima0bnan=1\therefore\lim_{a\to 0}b_na^n=1 lima0bnann!=1n!\therefore \red{\lim_{a\to 0}\frac{b_na^n}{n!}}=\frac{1}{n!} lima0n=0bnann!=n=0lima0bnann!\lim_{a\to 0}\sum_{n=0}^{\infty}\frac{b_na^n}{n!}=\sum_{n=0}^{\infty}\red{\lim_{a\to 0}\frac{b_na^n}{n!}} =n=01n!=e=\sum_{n=0}^{\infty}\frac{1}{n!}=e

Zakir Husain - 5 months, 3 weeks ago

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@Zakir Husain Wow! Wonderful to see how it collapses after the limit! Loved the solution! :)

Vin_Math 91 - 5 months, 3 weeks ago

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Could any of you make this a quiz or problem set on brilliant? Thanks!

Jeff Giff - 5 months, 3 weeks ago

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Sure

Zakir Husain - 5 months, 3 weeks ago

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@Jeff Giff - You can use buttons in RadMaths to make it more rad. See my note Buttons to learn button formatting :)

A Former Brilliant Member - 11 months, 3 weeks ago

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I used it in anther note :) I don’t think it is necessary to add buttons here :)

Jeff Giff - 11 months, 3 weeks ago

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Hi @Tomislav Franov , your problem set has been included to this note! Good job! :)

Jeff Giff - 2 months, 2 weeks ago

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Hi, thank you so much!!!

Tomislav Franov - 2 months, 2 weeks ago

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Nice, @Jeff Giff

Yajat Shamji - 1 year, 1 month ago

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What about my Recurring Proof Notes? You think they are useful to your note, @Jeff Giff?

Yajat Shamji - 1 year, 1 month ago

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@Jeff Giff- Try my A Pre-RMO question! series, Math also Fails! series.

Zakir Husain - 1 year, 1 month ago

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That's a definite one for @Jeff Giff to try - the Pre-RMO questions.

Also, RMO stands for...?

Yajat Shamji - 1 year, 1 month ago

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By the way, try this for Math Also Fails - eiπ=1,(eπ)i=1,e^{i\pi} =-1, (e^\pi)^i =-1, then i=logeπ1?!i=\log_{e^\pi} -1?!

Jeff Giff - 1 year ago

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No actually, definition of log clearly states that logablog_ab is defined only when

  • a>0anda1a \gt 0 and a \neq 1

  • b>0b \gt 0

Aryan Sanghi - 1 year ago

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Well it is correct, and not surprising if you know the Taylor series of ln\ln and this

Zakir Husain - 1 year ago

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If you want a big and detailed explanation you can ask for that (can even write a note!)

Zakir Husain - 1 year ago

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Oops.. that’s logarithm for negative numbers :/

Jeff Giff - 1 year ago

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Good idea! I’ll add them :)

Jeff Giff - 1 year, 1 month ago

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@Jeff Giff, Thanks for the mention for my LaTeX\LaTeX{} Guide but, it is a work in progress and I can suggest you better ones - Daniel Liu's Guide and Hamza Anushath's Guide.

A Former Brilliant Member - 1 year, 1 month ago

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Ok! Thanks!

Jeff Giff - 1 year, 1 month ago

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Thanks for the mention of Mathathon 2020 too!

A Former Brilliant Member - 1 year, 1 month ago

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And please add mine too @Jeff Giff (I am Hamza Anushath)

Frisk Dreemurr - 1 year ago

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@Frisk Dreemurr @Hamza Anushath - He still didn't add your Latex note, LOL

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@A Former Brilliant Member Yeah, it has been two weeks @Percy Jackson @Jeff Giff

Frisk Dreemurr - 1 year ago

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@Frisk Dreemurr Correction - 2 weeks and 3 days LOL

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@Frisk Dreemurr Mathathon started, start posting solutions @Hamza Anushath

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@A Former Brilliant Member Yeah, if I post solutions for past questions, will I still get points @Percy Jackson

Deduct five points from the total due to late submission if you'd like as well

Frisk Dreemurr - 1 year ago

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@Frisk Dreemurr Cuz I didn't see the Mathathon problems till just now @Percy Jackson...

Frisk Dreemurr - 1 year ago

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@Frisk Dreemurr No deduction for past questions go post the solutions!

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Try my When two lines meet series, it is a series of hard questions for learning to solve questions using graph. Is this useful for your note?

Aryan Sanghi - 1 year ago

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@Jeff Giff Add this sreies also, of @Aryan Sanghi

Zakir Husain - 1 year ago

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Thanks a lot @Zakir Husain

Aryan Sanghi - 1 year ago

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@Aryan Sanghi Thanks to @Jeff Giff for adding this in the note

Zakir Husain - 1 year ago

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@Zakir Husain Yes, @Jeff Gift great initiative this is like Percky Jackson.

Aryan Sanghi - 1 year ago

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@Jeff Giff Also try to add polyfon series by @Aryan Sanghi

Zakir Husain - 1 year ago

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Yes,thanku. I'll try to make the polyfun series more vast by adding more problems to it.

Aryan Sanghi - 1 year ago

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@Jeff Giff- Kindly mention this note instead of my feed for Pre-RMO question series.

Zakir Husain - 1 year ago

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👌 OK!

Jeff Giff - 1 year ago

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@Jeff Giff, could you add my note\color{#333333}\text{add my note} too as a LaTeX\LaTeX guide, it has many new facts and features which may only have been mentioned by me

Frisk Dreemurr - 1 year ago

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Click the add my note\text{add my note} to access my note @Jeff Giff

Frisk Dreemurr - 1 year ago

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@Jeff Giff, if you need anything from me, check out my profile and choose the series (i.e. if you choose one problem, you have to have the rest of the problems with that title.)

Yajat Shamji - 1 year ago

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@Jeff Giff - Kindly add this in RadMaths ''Late Events''

Zakir Husain - 1 year ago

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@Jeff Giff Thanks!

Zakir Husain - 1 year ago

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Check this out, @Páll Márton :)

Jeff Giff - 1 year ago

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Thank you!

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@Jeff Giff What about this?

Zakir Husain - 1 year ago

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Wowie!!!!!! RadMaths has become even better! Good work @Jeff Giff! You'll have to organize it a bit though, like removing the Mathathon as it is over, adding more space between 2 different series, etc.

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@Jeff Giff it is Vinayak Srivastavsa not Yinayak @Vinayak Srivastava ?

Zakir Husain - 1 year ago

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Yes @Jeff Giff!

Vin_Math 91 - 1 year ago

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Uh oh. Typo ^@^

Jeff Giff - 1 year ago

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@Jeff Giff you might like to add my Coordinate geometry series. All of its questions are popular and level 5. :)

Aryan Sanghi - 10 months, 1 week ago

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The link is level 4 actually lol

A Former Brilliant Member - 10 months, 1 week ago

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Yes, this question didn't live to the expectations, but it's atleast popular. :)

Aryan Sanghi - 10 months, 1 week ago

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@Aryan Sanghi Yes, it is a very good problem. I like all your problems, they are new and different, pretty cool according to me.

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@A Former Brilliant Member Thanku very much for your appreciation. :)

Aryan Sanghi - 10 months ago

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@Jeff Giff, I think the actual PRMO discussion is this, so please change the link, that one has only sample questions. :)

Vin_Math 91 - 5 months, 3 weeks ago

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very nice collection. thank you

num IC - 5 months, 2 weeks ago

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Hey everyone! I just found a way to nest buttons!!! All we have to do is to quote in a button and make a button in the quote! Only we can’t nest tables :( @Frisk Dreemurr , @Yajat Shamji
Test: (Failed)

[[show-hide-button|+]] [[start-hidden]] whoa I can button comments [[end-hidden]]

Jeff Giff - 5 months, 1 week ago

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Páll Márton would love this awww... but he is removed :(

Jeff Giff - 5 months, 1 week ago

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You used > to make a quote right

Jason Gomez - 5 months ago

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How did you make it, I can create the nested button but can’t hide stuff in it

Jason Gomez - 5 months ago

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@Jason Gomez Oh I forgot! You have to put the nested button frame behind the last button instead of in it :P I found that by accident actually and it turns out you can’t put line breaks though :)

Jeff Giff - 5 months ago

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Is it okay if I remake this note to make it more... accessible? I will give credit + link to this note as well if you do

Frisk Dreemurr - 5 months, 1 week ago

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Ok :) but a better way would be to link this note in the daily problem solutions :) or would you just want the code for this note?

Jeff Giff - 5 months ago

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You see, num IC has accessed this note from my daily solution :)

Jeff Giff - 5 months ago

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Look:

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Welcome to RadMaths! We will update popular maths problems and discussions to help you learn, think more and advance in Maths.   
**_[list of 1000 primes](https://brilliant.org/discussions/thread/list-of-primes/)_**          
**_COURSES:_**        
[Calculus](https://brilliant.org/discussions/thread/calculus-notes/?ref_id=1610121)      
**_LATE EVENTS:_**          
[approximating a slice of pi](https://brilliant.org/discussions/thread/least-operations-and-numbers-possible/?ref_id=1610787)    
[simplifying trigonometric values into (nested) radicals](https://brilliant.org/discussions/thread/how-to-find-trigonometric-values-that-radical/)

**Problems:**     
*- Alice Smith*     
1. [SAT 1000 series](https://brilliant.org/discussions/thread/sat-1000-problems-series-upcoming-frequently/)   
2. [Luogu series](https://brilliant.org/discussions/thread/luogu-problem-set/)         
3. [reach the summit series](https://brilliant.org/discussions/thread/reach-for-the-summit-problem-set-mathematics/)           
*- Zakir Husain*    
1. [Pre-RMO questions](https://brilliant.org/discussions/thread/a-pre-rmo-question-whole-series/)       
2. [The e-day quiz](https://brilliant.org/discussions/thread/happy-e-day/)    
*- Jeff Giff*    
1. Dr Fiendish series    
   [1](https://brilliant.org/problems/dr-fiendish/?ref_id=1591979),[2](https://brilliant.org/problems/dr-fiendish-2/?ref_id=1592533),[3](https://brilliant.org/problems/dr-fiendish-3/?ref_id=1592894),[4](https://brilliant.org/problems/dr-fiendish-4/?ref_id=1593218)   
*- Aryan Sanghi*       
1. [When two lines meet series](https://brilliant.org/problems/when-two-lines-meet-7/)            
2. [Coordinate geometry series](https://brilliant.org/problems/ellipses-circular-mask/?ref_id=1602635)      
*- Valentin Duringer*    
1. Dynamic Geometry series     
   [1](https://brilliant.org/problems/dynamic-geometry-level-1/?ref_id=1610351),[2](https://brilliant.org/problems/dynamic-geometry-level-2/?ref_id=1610354),[3](https://brilliant.org/problems/dynamic-geometry-level-3/?ref_id=1610360),[4](https://brilliant.org/problems/dynamic-geometry-level-4/?ref_id=1610363),[5](https://brilliant.org/problems/dynamic-geometry-level-5/?ref_id=1610385),[6](https://brilliant.org/problems/dynamic-geometry-level-6/?ref_id=1610388),[7](https://brilliant.org/problems/dynamic-geometry-level-7/?ref_id=1610400),[8](https://brilliant.org/problems/dynamic-geometry-level-8/?ref_id=1610408),[9](https://brilliant.org/problems/dynamic-geometry-level-9/?ref_id=1610427),[10](https://brilliant.org/problems/dynamic-geometry-level-10/?ref_id=1610469),[11](https://brilliant.org/problems/dynamic-geometry-level-11/?ref_id=1610472),[12](https://brilliant.org/problems/dynamic-geometry-level-12/?ref_id=1610475),[13](https://brilliant.org/problems/dynamic-geometry-level-13/?ref_id=1610479),[14](https://brilliant.org/problems/dynamic-geometry-level-14/?ref_id=1610541),[15](https://brilliant.org/problems/dynamic-geometry-level-15/),[16](https://brilliant.org/problems/dynamic-geometry-level-16/),[17](https://brilliant.org/problems/dynamic-geometry-p17/?ref_id=1610607),[18](https://brilliant.org/problems/dynamic-geometry-p18/?ref_id=1610617),[19](https://brilliant.org/problems/dynamic-geometry-p19/?ref_id=1610772),[20](https://brilliant.org/problems/dynamic-geometry-p20/?ref_id=1610775),[21](https://brilliant.org/problems/dynamic-geometry-p21/?ref_id=1610872),[22](https://brilliant.org/problems/dynamic-geometry-p22/?ref_id=1610875),[23](https://brilliant.org/problems/dynamic-geometry-p23/?ref_id=1610878),[24](https://brilliant.org/problems/dynamic-geometry-p24/?ref_id=1610891),[25](https://brilliant.org/problems/dynamic-geometry-p25/?ref_id=1610903),[26](https://brilliant.org/problems/dynamic-geometry-p26/?ref_id=1610909),[27](https://brilliant.org/problems/dynamic-geometry-p27/?ref_id=1611231),[28](https://brilliant.org/problems/dynamic-geometry-p28/?ref_id=1611234),[29](https://brilliant.org/problems/dynamic-geometry-p29/?ref_id=1611237),[30](https://brilliant.org/problems/dynamic-geometry-p30/?ref_id=1611356),[31](https://brilliant.org/problems/dynamic-geometry-p31/?ref_id=1611359),[32](https://brilliant.org/problems/dynamic-geometry-p32/?ref_id=1611389),[33](https://brilliant.org/problems/dynamic-geometry-p33/?ref_id=1611393),[34](https://brilliant.org/problems/dynamic-geometry-p34/?ref_id=1611396),[35](https://brilliant.org/problems/dynamic-geometry-p35/?ref_id=1611399),[36](https://brilliant.org/problems/dynamic-geometry-p36/?ref_id=1611402),[37](https://brilliant.org/problems/dynamic-geometry-p37/?ref_id=1611409),[38](https://brilliant.org/problems/dynamic-geometry-p38/?ref_id=1611471),[39](https://brilliant.org/problems/dynamic-geometry-p39/?ref_id=1611474),[40](https://brilliant.org/problems/dynamic-geometry-p40/?ref_id=1611483),[41](https://brilliant.org/problems/dynamic-geometry-p41/?ref_id=1611486),[42](https://brilliant.org/problems/dynamic-geometry-p42/?ref_id=1611536),[43-sequel to 42](https://brilliant.org/problems/dynamic-geometry-p43/?ref_id=1611539),[44](https://brilliant.org/problems/dynamic-geometry-p44/?ref_id=1611544),[45](https://brilliant.org/problems/dynamic-geometry-p45/),[46](https://brilliant.org/problems/dynamic-geometry-p46/)                

**Discussions:**     
*- Zakir Husain*     
1. On area percentage series      
    [1](https://brilliant.org/discussions/thread/on-area-percentage/?ref_id=1593918),[2](https://brilliant.org/discussions/thread/on-area-percentage-2/?ref_id=1594187),[3-bonus](https://brilliant.org/discussions/thread/on-area-percentage/?ref_id=1593918)   
2. Math also fails series      
    [1](https://brilliant.org/discussions/thread/math-also-fails/?ref_id=1590442),[2](https://brilliant.org/discussions/thread/math-also-fails-2/?ref_id=1592912)       
3. [Recurring decimals](https://brilliant.org/discussions/thread/on-recurring-decimals/)    
*- Yajat Shamji*          
1.Recurring proof notes    
    See [Recurring decimals](https://brilliant.org/discussions/thread/on-recurring-decimals/).    
2. Number spy challenges          
    [1](https://brilliant.org/discussions/thread/number-spy-challenge-1/),[2](https://brilliant.org/discussions/thread/number-spy-challenge-2/)     
[*- Gandoff Tan*](https://brilliant.org/profile/gandoff-5e56fk/)            
*- Vinayak Srivastava*          
1. [10 PRMO sample questions-discussion](https://brilliant.org/discussions/thread/prmo-sample-questions/)          
2.[PRMO discussion](https://brilliant.org/discussions/thread/prmo-discussion/)       
*- Páll Márton (A Former Brilliant Member)*             
1. [Proof chain](https://brilliant.org/discussions/thread/math-prove-marathon/)           
*- Jeff Giff*           
1. [Bilingual geometry note](https://brilliant.org/discussions/thread/bilingual-geometry-notebook/?ref_id=1598123)         
*- Inquisitor Math*        
1. [A function whose reciprocal is an inverse](https://brilliant.org/discussions/thread/a-function-whose-reciprocal-is-an-inverse/)    

**Formatting:**     
*- Brilliant*   
1. [\\\(\\LaTeX\\\) formatting guides](https://brilliant.org/math-formatting-guide/)      
*- Percy Jackson*    
1. [\\\(\\LaTeX\\\) formatting guides](https://brilliant.org/discussions/thread/latex-formatting-guide/)    
*- Daniel Liu*     
1. [\\\(\\LaTeX\\\) formatting guides](https://brilliant.org/discussions/thread/beginner-latex-guide/)       
*- Hamza Anushath (Frisk Dreemurr)*           
1. [\\\(\\LaTeX\\\) formatting guides](https://brilliant.org/discussions/thread/different-types-of-latex-formatting-methods-that-i/)            
*- Páll Márton (A Former Brilliant Member)*         
1. [\\\(\\LaTeX\\\) formatting guides](https://brilliant.org/discussions/thread/formatting-guide/) 

Jeff Giff - 5 months ago

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@Jeff Giff, the deed is done. Check out my latest note!

Frisk Dreemurr - 4 months, 4 weeks ago

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@Frisk Dreemurr @Jeff Giff mention[10101485:Jeff Giff]

Frisk Dreemurr - 4 months, 4 weeks ago

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@Frisk Dreemurr Sorry, just wanted to get your mention number tag :)

Frisk Dreemurr - 4 months, 4 weeks ago

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@Frisk Dreemurr Check my new mentions page then, here

@Frisk Dreemurr mention[10427613:Frisk Dreemurr] (I need to add your mention Id)

Jason Gomez - 4 months, 4 weeks ago

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@Frisk Dreemurr nice!

Jeff Giff - 4 months, 4 weeks ago

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Line 25 may be my worst creation (holy cow I didn’t click enter) :P

Jeff Giff - 5 months ago

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@Jeff Giff Kindly add this

Zakir Husain - 4 months, 2 weeks ago

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Done :)

Jeff Giff - 4 months, 2 weeks ago

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@Jeff Giff Add this in bold

Zakir Husain - 4 months, 1 week ago

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@Jeff Giff ????

Zakir Husain - 3 months, 3 weeks ago

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@Jeff Giff What about "It's Mathematics Olympiad" ? and "Trigonometry Everywhere" ?

Zakir Husain - 3 months, 3 weeks ago

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@Zakir Husain At work now :) I’m quite busy :P

Jeff Giff - 3 months, 3 weeks ago

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Oh I wasn’t noticed! Now I see :)

Jeff Giff - 3 months, 3 weeks ago

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Thanks for all that!

Jeff Giff - 3 months, 3 weeks ago

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Have you edited the note? I am not able to see them right now...

Zakir Husain - 3 months, 3 weeks ago

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