A Wilson prime is a prime p such that (p − 1)! = −1 (mod p). We report on a search for Wilson primes up to 2 × 10, and describe several new algorithms that were used in the search. In particular we give the first known algorithm that computes (p − 1)! (mod p) in average polynomial time per prime.

the effect of epinephrine on triacylglycerol secretion was investigated in isolated rat hepatocytes. the effect appeared at concentrations of more than 1 µm and reached a plateau at 10 µm. epinephrine concentration for half of the maximal bioeffect (ec50) was about 1 µm. epineplrrine at a concentration of 10 µm suppressed triacylglycerol secretion by 33% and increased its cellular content by ap...

abstract   background: the compounds which contain nitrogen entering the environment can cause some problems, such as eutrophication for water resources and potential risk for human health because of methemoglobinemia and cancer. biological techniques are effective in removing nitrate. the aim of this study was to remove nitrate from groundwater using denitrification. the main objectives of thi...

In this paper, we show that an $L_1$-2-type surface in the three-dimensional hyperbolic space $H^3subset R^4_1$ either is an open piece of a standard Riemannian product $ H^1(-sqrt{1+r^2})times S^{1}(r)$, or it has non constant mean curvature, non constant Gaussian curvature, and non constant principal curvatures.

In this paper, we study the Maximum Profit Pick-up Problem with Time Windows and Capacity Constraint (MP-PPTWC). Our main results are 3 polynomial time algorithms, all having constant approximation factors. The first algorithm has an approximation ratio of ' 46(1 + (71/60 + α √ 10+p ) ) log T , where: (i) > 0 and T are constants; (ii) The maximum quantity supplied is qmax = O(n )qmin, for some ...