My problems

I need to fully understand Siegel’s, Chebyshev, Riemann’s, Poincare’s work, especially part of works connected with PNT and Zeta, and nonvanishing L-series for arithmetic progressions. I recently suggested a problem, and received an answer that there is the same number of primes starting with 123 and ending with 3 as those starting with 123 and ending with 7. I was given the following  article as the proof to the very claim:

But, according to my matrix and the probabilities of numbers appearing in each column of the matrix this seems very interesting case to pore over.

Thus, I introduced two following tasks:

1. Let S_{i} be set of numbers with i nondistinct consecutive prime divisors, where n denotes the greatest of nondistinct prime divisor used. Let M(i) denote number of elements of S_{i}. Find {{M(i)}\over{K(i)}}, where K(i,n)=max(S_{i}) and n is i-th prime number.

2.p1- prime number;np1, np2 – odd numbers;u(a_{1}^{k_{1}}*a_{2}^{k_{2}}...a_{n}^{k_{n}})=k_{1}+k_{2}+..+k_{n} for prime a_{i} and  natural k_{i}

Knowing that u(np1-p1) = u(x – np2), is this true that \forall np1,np2 \exists p1: x is prime?


About misha

Imagine a story that one can't believe. Hi. Life changes here. Small things only.
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