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 be set of numbers with nondistinct consecutive prime divisors, where denotes the greatest of nondistinct prime divisor used. Let denote number of elements of . Find , where and is i-th prime number.
2.p1- prime number;np1, np2 – odd numbers;u()= for prime and natural
Knowing that u(np1-p1) = u(x – np2), is this true that : x is prime?