Determine whether there exist pairwise relatively prime positive integers $a, b$ and $c$ each greater than $1$ such that,
$b$ divides $ 2^a+1$, $c$ divides $ 2^b+1$ and $a$ divides $ 2^c+1$.
Search found 11 matches
- Wed Jan 25, 2012 3:23 am
- Forum: Number Theory
- Topic: find co-prime a,b,c
- Replies: 3
- Views: 2542
- Tue Jan 17, 2012 10:54 pm
- Forum: Number Theory
- Topic: Really a logical one, let's see who can find it first
- Replies: 5
- Views: 3492
Re: Really a logical one, let's see who can find it first
I thought I have to determine the number of digits first. So, what's the procedure??? I've tried hard but in vain.
- Tue Jan 17, 2012 10:36 pm
- Forum: Number Theory
- Topic: Really a logical one, let's see who can find it first
- Replies: 5
- Views: 3492
Re: Really a logical one, let's see who can find it first
But how have you determined the number of digits of it???
- Tue Jan 17, 2012 7:31 pm
- Forum: Number Theory
- Topic: Really a logical one, let's see who can find it first
- Replies: 5
- Views: 3492
Really a logical one, let's see who can find it first
What's the summation of the digits of 4444^4444 ?????
- Mon Jan 16, 2012 2:12 pm
- Forum: Number Theory
- Topic: Identification of perfect square on another Number System: 1
- Replies: 0
- Views: 1772
Identification of perfect square on another Number System: 1
In which number system 11111 is a perfect square? I found an ans, its 3 based number system.
Is there any other ans? If not, than how can we prove that?
Is there any other ans? If not, than how can we prove that?
- Thu Jan 12, 2012 8:34 pm
- Forum: Combinatorics
- Topic: Combinatorics in Octahedron (AIME 2001)
- Replies: 1
- Views: 5776
Combinatorics in Octahedron (AIME 2001)
The numbers 1, 2, 3, 4, 5, 6, 7 and 8 are randomly written on the faces of a Regular Octahedron so that each face contains a different number. Compute the Probability that no two consecutive numbers, where 8 and 1 are considered to be consecutive, are written on faces that share an edge.
- Wed Jan 11, 2012 11:07 pm
- Forum: Number Theory
- Topic: Divisibility of a sequence by 10100
- Replies: 2
- Views: 2425
Re: Divisibility of a sequence by 10100
Thanks. Now its very easy.
- Wed Jan 11, 2012 10:56 pm
- Forum: Astronomy & Astrophysics
- Topic: Age of Light
- Replies: 4
- Views: 4520
Re: Age of Light
I meant in the reference frame where I'm stable and light is moving at C. Well, we determine the travel time of moving thing on account of his reference frame by dividing the time in our reference frame with $(1-\frac{V^2}{C^2})^{\frac {1}{2}}$. Hence $V=C$ for light we get $0$ as denominator as thi...
- Wed Jan 11, 2012 2:55 pm
- Forum: Astronomy & Astrophysics
- Topic: Age of Light
- Replies: 4
- Views: 4520
Age of Light
If we apply time expansion formula of theory of relativity on Light to detemine how long has it travelled according to our time than what'll I get ?
I cant figure it out
I cant figure it out
- Wed Jan 11, 2012 2:45 pm
- Forum: Physics
- Topic: দৃষ্টিসীমা
- Replies: 7
- Views: 9735
Re: দৃষ্টিসীমা
It wouldn't be disasterous, but may be weird on account of now.