Fix > 0, and let p1 = 2, p2 = 3, . . . be the sequence of all primes. We prove that if (q, a) = 1, then there are infinitely many pairs pr, pr+1 such that pr ≡ pr+1 ≡ a mod q and pr+1 − pr < log pr. The proof combines the ideas of Shiu and of Goldston–Pintz–Yıldırım.

It has been noticed that all the known binary sequences having the asymptotic merit factor ≥ 6 are the modifications to the real primitive characters. In this paper, we give a new modification of the character sequences at length N = p1p2 . . . pr, where pi’s are distinct odd primes and r is finite. Based on these new modifications, for N = p1p2 . . . pr with pi’s distinct odd primes, we can co...

the effect of protein supplementation on athletic performance and hormonal changes was examined in 32 experienced collegiate strength/power athletes participating in a 12-week resistance training program. method: subjects were randomly assigned to either a protein supplement (pr; n = 22) or a placebo (pl; n = 10) group. during each testing session subjects were assessed for strength (one repet...

conclusions the use of sof + pr regimen or ldv/sof can significantly reduce the incidence of complications associated with the disease. for example, short and long-term outcomes are better than the current drug regimens for hcv genotype 1 patients in all stages of the disease. objectives this study is aimed to assess the cost-effectiveness of the three drug regimens of pegylated interferon and ...

The absolute value of the Möbius function of a bounded poset P with n + 2 elements satisfies |μ(P )| ≤ max r≥0 max p1+...+pr=n pi≥1 r ∏

This article takes its name and inspiration from Mad Professor’s album A Caribbean Taste of Technology in response to the theme of this Technosphere issue. This makes a good place to start a discussion of creolization and technology – the dub reggae tracks of this album produced British producer Mad Professor and released in 1985, https://www.youtube.com/watch?v=ewDTHfJqLwI So what I present he...

  Background and Objective: Determination of hormone receptor status in the management of breast cancer is well-established. The aim of this study was to evaluate the frequency of androgen receptor (AR) expression in invasive ductal carcinoma of breast. Materials and Methods: For this purpose, 55 cases of invasive ductal breast carcinoma were examined using a monoclonal antibody against AR on...

Dear Editor-in-Chief   Lesional histopathological features in pityriasis rosea (PR) are non-specific (1).  Our aim here is to investigate whether a histopathological take-off sign (TOS) is associated with PR.