Before I begin, let me congratulate last week's winner, Tan Li Xuan with his **amazing** problem Superheroes fighting with maths! I don't know about you guys, but I'm surprised an Electricity and Magnetism problem didn't win!

Nonetheless, the problem Tan posted was amazing and really cool, so you guys should all give him a pat on the back for this awesome accomplishment. Tan, you can now add "TPC 3 Winner" to your long list of other achievements. :D

For this week, I didn't want to do another movie, because not everybody knows that movie. So, this week's theme will be Number Theory, a subject very close to my heart! Now, Sharky Kesa won't have an excuse not to post a problem! It's a little unorthodox, but I think it'll be really fun, and much more competitive. I hope to see a lot more submissions! EDIT: Congratulations to Satvik Golechha for being the first (and only) person to complete the set! He's awesome so follow him! :D

For those of you who are first-time participants, here's the basic outline of what's going on. You are going to write a problem with the theme of the week (in this case Number Theory). You'll publish the problem on Brilliant, and then provide a link to your problem in the comments below. Also, check out other people's problems. I will review (and even attempt to solve) all entries. At the end of the week, I'll post next week's TPC announcing the winner! We had some entries last week that didn't utilize \(\LaTeX\). Please use it! Appearance is key! :D

Also, I have a very important announcement. My note Difficult problems which need ratings! is hardly touched! It has only 1 reshare so it kind of sucks for me. Please please please try it out! These are all Level 4/5 problems that will be a real challenge for even the best of problem-solvers.

Anyways, have fun posting problems! And, as always, don't forget to like and reshare! :D

## Comments

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TopNewestCan you make one of the genres Minecraft. There are a lot of combinatorics, algebra, geometry and many more questions that could be made. – Sharky Kesa · 2 years, 5 months ago

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My problem " pRIME gIVES pRIME" can be searched with tag 'challenge_yourself' – Anshul Shivhare · 2 years, 5 months ago

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Here's my problem, Following the Powers of 2. – Trevor B. · 2 years, 5 months ago

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Extremely Large Cubes to the list. It's based off of a number theory concept that I discovered myself, and I quite like it. – Trevor B. · 2 years, 5 months ago

If we're allowed to have multiple entires, I'd like to addLog in to reply

– David Lee · 2 years, 5 months ago

I really like this one.. :DLog in to reply

– Finn Hulse · 2 years, 5 months ago

I will consider both entries! However, if one of them were to win, I would only mention that problem as the winner and not the other as well. They look pretty boss! :DLog in to reply

Is this problem valid? I wrote it just now :P – Michael Diao · 2 years, 5 months ago

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– Finn Hulse · 2 years, 5 months ago

Not only is it valid, it's awesome! :DLog in to reply

– Michael Diao · 2 years, 5 months ago

Thanks :DLog in to reply

@Calvin Lin You wanna try participating? :D – Finn Hulse · 2 years, 5 months ago

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This set has 5 problems

Among those 5,consider this – Vinay Sipani · 2 years, 4 months ago

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REAL Magic Squares,Indeed!!!! Well Finn.....its a note that will surely amaze everyone . – Harsh Shrivastava · 2 years, 5 months ago

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Miracle Age Potion! – Nanayaranaraknas Vahdam · 2 years, 5 months ago

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https://brilliant.org/community-problem/mangoes-in-my-garden/? group=B2iBs2awidf8 – Sabarish Kurulla · 2 years, 5 months ago

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The power of two is more fun than the power of one – Charlton Teo · 2 years, 5 months ago

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My entry for this week : This looks easy to me – Tan Li Xuan · 2 years, 5 months ago

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I suppse this will work for now.

EDIT: oops accidentally wrote wrong answer so I will change it to right answer after a moderator confirms my change – Daniel Liu · 2 years, 5 months ago

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For All Pear Lovers – David Lee · 2 years, 5 months ago

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– Finn Hulse · 2 years, 5 months ago

You should clean up your LaTeX and post a solution. I could barely understand what you were saying with the whole "the former", and "the latter". :PLog in to reply

– David Lee · 2 years, 5 months ago

That is PURE english... Definitions, bro! :DLog in to reply

– Finn Hulse · 2 years, 5 months ago

English of mine good it is not.Log in to reply

– David Lee · 2 years, 5 months ago

is it a little better?Log in to reply

I also have a horse in this race....See my problem-Think Twice. – Satvik Golechha · 2 years, 5 months ago

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– Finn Hulse · 2 years, 5 months ago

Oh dude better get your horse out the problem has to have been made since the release of the competition! :OLog in to reply

@Finn Hulse I was wondering whether I could suggest a theme for TPC V. I'm not trying to offend your selection, but could I suggest? – Satvik Golechha · 2 years, 5 months ago

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– Finn Hulse · 2 years, 5 months ago

Totally! What do you think is a good idea? I'd love to hear.Log in to reply

"Harry Potter"– Satvik Golechha · 2 years, 5 months agoLog in to reply

– Finn Hulse · 2 years, 5 months ago

Wow good idea. :DLog in to reply

@Finn Hulse Why 'ave 'ya stopped makin' 'da TPC's? – Satvik Golechha · 2 years, 1 month ago

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– Sharky Kesa · 2 years, 1 month ago

He was on holidays. He's back on Saturday.Log in to reply

– Finn Hulse · 2 years, 1 month ago

Correct. :DLog in to reply

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– Finn Hulse · 2 years, 5 months ago

HAHAHA yeah I'll put it in. :DLog in to reply

– Satvik Golechha · 2 years, 5 months ago

Thanks. :DLog in to reply

Can I post a proof question? – Joshua Ong · 2 years, 5 months ago

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– Finn Hulse · 2 years, 5 months ago

Dude totally. Great idea! :DLog in to reply

Sums|smuS – David Lee · 2 years, 5 months ago

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AMC12BProblems/Problem23 – Minimario Minimario · 2 years, 5 months agoLog in to reply

@David Lee Have anything to say about this? Ahem. – Finn Hulse · 2 years, 5 months ago

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– David Lee · 2 years, 5 months ago

Huh? that was a coincidence. Sorry! D:Log in to reply

– Finn Hulse · 2 years, 5 months ago

No problem, but how is a coincidence? :DLog in to reply

– David Lee · 2 years, 5 months ago

I am putting in a new submission.Log in to reply

– Finn Hulse · 2 years, 5 months ago

I will accept it. But make it original! :OLog in to reply

– Finn Hulse · 2 years, 5 months ago

Brilliant problem! I'm kind of stuck after factoring 792. :PLog in to reply

– David Lee · 2 years, 5 months ago

Sorry, there was a typo. Try it again! :DLog in to reply

– Finn Hulse · 2 years, 5 months ago

Aww nartz I already used all my tries. D:Log in to reply

– David Lee · 2 years, 5 months ago

ask brilliant for a refund.Log in to reply

– Finn Hulse · 2 years, 5 months ago

HAHAHA nah it's okay.Log in to reply

I think I was the one who reshared your set.

Yes I did. – Yuxuan Seah · 2 years, 5 months ago

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– Finn Hulse · 2 years, 5 months ago

Thanks for being awesome! :DLog in to reply

Great, I think posting a number theory problem would be more fun.@Finn Hulse – Mardokay Mosazghi · 2 years, 5 months ago

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– Finn Hulse · 2 years, 5 months ago

Yeah, but it's not always going to be a math theme. I'm just trying it out as an experiment. Good luck! :DLog in to reply

@Tan Li Xuan Great job! Congratulations. :D – Finn Hulse · 2 years, 5 months ago

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– Tan Li Xuan · 2 years, 5 months ago

It should be "TPC 3 Winner" :) And my surname is actually Tan. Anyway,thanks! I never expected I would win this challenge :DLog in to reply

– Finn Hulse · 2 years, 5 months ago

Oh oops. :DLog in to reply