An challenge for anyone willing to try

by shiningsunnyday, Dec 26, 2016, 12:56 PM

A seemingly-simple problem but one that I've spent quite some time on without much progress!

Post comments, approaches, ideas, hints, solutions, etc. (don't spoil if you've seen it before)

Will reveal later wrote:

Find all pairs $(x, y)$ of nonnegative integers such that $x^2+3y$ and $y^2+3x$ are simultaneously perfect squares.

number theory

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Haven't seen before but either I'm fakesolving or it's not that hard?

step 1

step 2

step 3

WAIT OMG I'M STUPID

I solved it after reading step 1, cool thanks

This post has been edited 2 times. Last edited by shiningsunnyday, Dec 27, 2016, 3:56 AM

by tastymath75025, Dec 26, 2016, 10:19 PM

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this guy is an absolute legend. much love wherever you are Michael
by LeonidasTheConquerer, Aug 5, 2024, 9:37 PM
amazing blog
by anurag27826, Jun 17, 2023, 7:20 AM
hi i randomly found this
by purplepenguin2, Mar 1, 2023, 8:43 AM
can i be a contributor please?
by cinnamon_e, Mar 10, 2022, 6:58 PM
orzorzorzorzorzorozo
by samrocksnature, Jul 16, 2021, 8:25 PM
2021 post
by the_mathmagician, May 5, 2021, 3:28 PM
Let $ABC$ be an equilateral triangle of side length $1$ . Let $D$ be the point such that $C$ is the midpoint of $BD$ , and let $I$ be the incenter of triangle $ACD$ . Let $E$ be the point on line $AB$ such that $DE$ and $BI$ are perpendicular. $ \
by ARay10, Aug 25, 2020, 5:55 PM
Nice blog!
by User526797, Jan 12, 2020, 4:48 PM
oh my gosh it's been so longggggg.... contrib? what does that mean?
by adiarasel, Dec 1, 2019, 8:31 PM
2019 post
by piphi, Aug 10, 2019, 6:32 AM
hi contrib please
by Emathmaster, Dec 27, 2018, 5:38 PM
hihihihihi contrib plzzzzz
by haha0201, Aug 20, 2018, 3:58 PM
contrib please
by Max0815, Aug 1, 2018, 12:35 AM
contrib /charmander
by mathmaster2000, Apr 16, 2017, 4:59 PM
for contrib
by SomethingNeutral, Mar 30, 2017, 7:57 PM
all contrib requests added I usually get to posting every night after running on the treadmill and showering, posting my favorite problem(s) I did during the day.
by shiningsunnyday, Jun 16, 2016, 4:37 AM
Since problems is plural, he might post multiple problems through different posts in one day...
by zephyrcrush78, Jun 15, 2016, 8:37 PM
hi can i have contrib?
by wu2481632, Jun 15, 2016, 8:36 PM
Hello it is called problems of the DAY
by Temp456, Jun 15, 2016, 8:17 PM
10th shout lol
How often will this blog be updated?
by zephyrcrush78, Jun 15, 2016, 5:24 PM
why are we counting shouts

contrib pls
by MathAwesome123, Jun 15, 2016, 2:55 PM
eighth shout
contrib pls
by skipiano, Jun 15, 2016, 2:21 PM
seventh shout
Can I be contrib?
Though probably not because it's not like I'll post anything anyways :/ :/
by zephyrcrush78, Jun 15, 2016, 1:20 AM
sixth shout

new goal: get the shouts that are congruent to 1 mod 5
by DeathLlama9, Jun 15, 2016, 12:33 AM
fifth shout >
by budu, Jun 14, 2016, 10:04 PM
4th yay
by EpicSkills32, Jun 14, 2016, 9:10 PM
third shout
by skipiano, Jun 14, 2016, 2:35 PM
Second shout
by zephyrcrush78, Jun 14, 2016, 12:06 AM
omg yesssss
by DeathLlama9, Jun 13, 2016, 2:19 PM

270 shouts

Problems of the day

An challenge for anyone willing to try

by shiningsunnyday, Dec 26, 2016, 12:56 PM

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