In this study criterion of maximum profit intensity for transportation problems, in contrast to the known criteria of minimum expenses or minimum time for transportation, is considered. This criterion synthesizes financial and time factors and has real economic sense. According to the purpose of this paper, the algorithm of the solution of such a transportation problem is constructed. It is sho...

Robin’s criterion states that the Riemann hypothesis is true if and only inequality $$\sigma (n) < e^{\gamma } \times n \log n$$ holds for all natural numbers $$n > 5040$$ , where (n)$$ sum-of-divisors function of $$\gamma \approx 0.57721$$ Euler–Mascheroni constant. We show Robin are not divisible by some prime between 2 1771559. prove when $$\frac{\pi ^{2}}{6} n' \le $$n>5040$$ $$n'$$ square ...