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Jan
29 |
comment |
Prime numbers characterization
Thank you Barry, I think that it is a good advice not to post here until I have enough experience, and I think I do not have so much experience as you people who post here, I will post on mathstackexchange and if I ever acquire enough knowledge I will probably come back here. Bye bye. :) |
Jan
29 |
comment |
Mersenne primes problem
I didn´t see this at the time of writing my post, but I would like when it is posted now that you give an opinion about the result, if it is not good enough I will post no more here. |
Jan
29 |
asked | Prime numbers characterization |
Jan
29 |
comment |
Mersenne primes problem
I will now write a post about something about prime numbers that I managed to prove so I would like to see your comments about usefulness of such a formula. |
Jan
29 |
accepted | Mersenne primes problem |
Jan
29 |
comment |
Mersenne primes problem
I am amazed how two of you see these things in a so short period of time. Okay, I will post no more until I have a really good question that is on the research level. Thank you. |
Jan
29 |
asked | Mersenne primes problem |
Jan
28 |
comment |
Numbers of a certain form not expressible as squares
These are two problems, not a system of equations |
Jan
28 |
comment |
Numbers of a certain form not expressible as squares
Is it possible to attack this with modular arithmetic? Solve in positive integers, with $n\geq9$ $81k^2+18k-n!=0$ and $81k^2-18k-n!=0$ |
Jan
28 |
awarded | Commentator |
Jan
28 |
comment |
Numbers of a certain form not expressible as squares
Oh well I did it in different way, look now when it is edited. |
Jan
28 |
awarded | Editor |
Jan
28 |
revised |
Numbers of a certain form not expressible as squares
added 1290 characters in body |
Jan
28 |
comment |
Numbers of a certain form not expressible as squares
I found an elementary proof that $a^n + 1\neq m^2$ when $a$ is of the form $a=3k+4$. In it I used the properties of this function: mathworld.wolfram.com/DigitalRoot.html Thank you all for your valuable information. |
Jan
28 |
accepted | Numbers of a certain form not expressible as squares |
Jan
28 |
comment |
Numbers of a certain form not expressible as squares
No need for posting, the fact that I discovered is easily obtained. |
Jan
28 |
comment |
Numbers of a certain form not expressible as squares
Close this one, I will post now another question and the fact that I discovered about it. |
Jan
28 |
comment |
Numbers of a certain form not expressible as squares
Motivation is to find elementary proof when $a$ is of the form $a=3k+4$ when k is natural number, or zero. |
Jan
28 |
comment |
Numbers of a certain form not expressible as squares
Thank you, I forgot that Catalan´s conjecture have status of a theorem, and sure there must be some elementary method for proving these three cases. |
Jan
28 |
asked | Numbers of a certain form not expressible as squares |