If anyone has a Degree in Maths I am trying really hard to prove Legendre conjecture. (en.wikipedia.org/wiki/Legendre%27s_conjecture)
Anyone got a Degree in Mathematics / Number theory and willing to help Student- Legendre Conjecture)
It's not proven. So I guess nobody can help you out there.
@howchessYT I'm passionate about mathematics myself, but you'll need a lot more than one guy with a degree in math to solve this problem. If it was that easy it would already have been proved.
However, I can give you a few other interesting problems you might like.
For example, here's a problem I'm playing around with myself.
Prove that rays of light that do not enter through the focus will always reflect through the focus of a parabola.
However, I can give you a few other interesting problems you might like.
For example, here's a problem I'm playing around with myself.
Prove that rays of light that do not enter through the focus will always reflect through the focus of a parabola.
@Lucerinho I know that's why I am trying really to prove it. I'm only 16 so my skills aren't the greatest. @Irishman964 Well can I least explain my thinking? (Sorry I can't answer your parabola question. I hated refraction/reflection in Physics ! (Isn't negative reciprocal equation or something?
you have to use logarithms there, its how prime numbers work, now I dont remember this stuff but u just have to navigate through the logarithms like if u were in a ship until u reach the coast, jokes aside, I dont recommend thinking about those type of problems, they are very demanding and the reward is very low
u need to use abstraction there like if n were an object and not a number, of course I am making this up but mathematicians too, just make sure that u dont see the number alone if u think about numbers u have to see the whole series, otherwise u wont understand the gaps and the sizes this is just mere intuition, probably musical since I dont study this type of stuff.
Use some type of repercusion for instance or create some type of tiny curvature close to a straight line, and then u amplify and so, u need to be imaginative just dont use any analysis approach because It wont get u ahead.
u need to use abstraction there like if n were an object and not a number, of course I am making this up but mathematicians too, just make sure that u dont see the number alone if u think about numbers u have to see the whole series, otherwise u wont understand the gaps and the sizes this is just mere intuition, probably musical since I dont study this type of stuff.
Use some type of repercusion for instance or create some type of tiny curvature close to a straight line, and then u amplify and so, u need to be imaginative just dont use any analysis approach because It wont get u ahead.
If you are only 16, then i'd recommand trying to prove that the 16 sided regular polygon is constructible with ruler and compass. Or you may want to wait next year.
@Puzzletraining I was using logs!
I like to think.
@catharaxie Simple. Draw a circle bisect it four times. So we have 16-agon
I like to think.
@catharaxie Simple. Draw a circle bisect it four times. So we have 16-agon
Why do not you go for the Riemann hypothesis? Proving or disproving yields $ 1 million.
Sometimes a computer helps, as in the Four Colour Theorem.
Sometimes a new approach helps, as in Fermat's Last Theorem.
Sometimes a computer helps, as in the Four Colour Theorem.
Sometimes a new approach helps, as in Fermat's Last Theorem.
As has been mentioned above if this isn't solved it's likely very difficult.
While I don't know about the specifics of the problem you might want to start with proving simpler things, e.g. that the fractions p/q, p and q primes, are dense in the real numbers.
This is not too hard to prove and it might be good practice for more difficult prime problems. (however the chance that you solve the Legendre one if extremely low, especially without a lot of knowledge about number theory)
While I don't know about the specifics of the problem you might want to start with proving simpler things, e.g. that the fractions p/q, p and q primes, are dense in the real numbers.
This is not too hard to prove and it might be good practice for more difficult prime problems. (however the chance that you solve the Legendre one if extremely low, especially without a lot of knowledge about number theory)
@tpr The riemann hypothesis is extremely well studied. It is unpractical to research it.
The legendre conjecture is less studied.
@MoistvonLipwig I was looking at the proof by Euclid's for infinite primes. That might useful. Or using logs.
The legendre conjecture is less studied.
@MoistvonLipwig I was looking at the proof by Euclid's for infinite primes. That might useful. Or using logs.
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