# Tagged Questions

323 views

### Sorting of prime gaps

Let $g_n$ be the $n^{th}$ prime gap $p_{n+1}-p_n.$ If we re-arrange the sequence $(g_n)$ so that for any finite $n$ the gaps are arranged from smallest to largest we have a new sequence ...
135 views

### Total number of ways to arrange the prime divisor of a number so it can be written using M digits

How many ways we can arrange all the prime divisor of a number so it can be written using M factors, where M <=T. T is the total number of prime divisor of the give number N. Example:N=27, its ...
245 views

### Six Unique numbers which generate unique sum during addition

I have a Six numbers which are like points that satisfy certain condition. If the condition is satisfied that point will be given or else 0 will be assigned as points. I am Storing the points in ...
112 views

### Closed form some permutations

Is there a closed form expression for the the permutation $\tau$ where $(\tau(1) \tau(2) \ldots \tau(q))=(1 2 \ldots q)^k$ where $q$ is a prime? I have found that for $q=5$, $\tau$ can be expressed as ...
Having some doubts proving exercise statement from Pinter's book. Here's quote: Let $\alpha$ be a cycle of length $s$, say $\alpha = ( a_1, a_2 ... a_s )$. Prove that, if $s$ is a prime ...
I have permutation from $x$ to $y$. And how to make sequence which $d$ summed numbers from this sequence ISN'T a prime number. if we have sequence $x_1,x_2,x_3,x_4,x_5 \dots y$ than $d$ means : ...