Antisha

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Name Antisha
Member for 4 months
Seen Feb 13 at 9:04
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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
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
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
Jan
21
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?
Jan
21
comment Does this system of equations admits a solution?
with "^" I denote exponentiation
Jan
21
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
Jan
21
awarded  Scholar
Jan
21
comment Does this system of equations admits a solution?
P.S. Of course, the sequences p(k) and q(k) are not constant sequences.
Jan
21
asked Does this system of equations admits a solution?
Jan
17
awarded  Student