# Antisha

 17 Reputation 109 views

## Unregistered User

 Name Antisha Member for 4 months Seen Feb 13 at 9:04 Website Location Age
 Jan29 comment Prime numbers characterizationThank 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. :) Jan29 comment Mersenne primes problemI 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. Jan29 asked Prime numbers characterization Jan29 comment Mersenne primes problemI 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. Jan29 comment Mersenne primes problemI 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. Jan29 asked Mersenne primes problem Jan28 comment Numbers of a certain form not expressible as squaresThese are two problems, not a system of equations Jan28 comment Numbers of a certain form not expressible as squaresIs it possible to attack this with modular arithmetic? Solve in positive integers, with $n\geq9$ $81k^2+18k-n!=0$ and $81k^2-18k-n!=0$ Jan28 awarded ● Commentator Jan28 comment Numbers of a certain form not expressible as squaresOh well I did it in different way, look now when it is edited. Jan28 awarded ● Editor Jan28 revised Numbers of a certain form not expressible as squaresadded 1290 characters in body Jan28 comment Numbers of a certain form not expressible as squaresI 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. Jan28 comment Numbers of a certain form not expressible as squaresNo need for posting, the fact that I discovered is easily obtained. Jan28 comment Numbers of a certain form not expressible as squaresClose this one, I will post now another question and the fact that I discovered about it. Jan28 comment Numbers of a certain form not expressible as squaresMotivation is to find elementary proof when $a$ is of the form $a=3k+4$ when k is natural number, or zero. Jan28 comment Numbers of a certain form not expressible as squaresThank 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. Jan28 asked Numbers of a certain form not expressible as squares Jan21 comment Does this system of equations admits a solution?Now I have looked again at my papers and I saw two more conditions, first is that a(k) is always composite, for every natural number k, and second is that a(k+1) and a(k) are coprime for every natural number k, does this "coprimeness" of successive terms greatly increases difficulty of the problem? And can you help me with these two added conditions? Jan21 comment Does this system of equations admits a solution?with "^" I denote exponentiation Jan21 comment Does this system of equations admits a solution?Thank you people, that was helpful. I must ask now does this system have a solution if we set a(1) to have the form: a(1)= 2^(c) + 2^(c-1) + ... + 2 + 1, for some constant c, c is a natural number strictly greater than 2 Jan21 awarded ● Scholar Jan21 comment Does this system of equations admits a solution?P.S. Of course, the sequences p(k) and q(k) are not constant sequences. Jan21 asked Does this system of equations admits a solution? Jan17 awarded ● Student