Numbers of the form (6m+1)(12m+1)(18m+1) where all three factors are simultaneously prime are the best known examples of Carmichael numbers. In this paper we tabulate the counts of such numbers up to 10 for each n ≤ 42. We also derive a function for estimating these counts that is remarkably accurate.

We present ISOCAM images (1.5 ′′ px −1) in the LW2 (6.75 µm) and LW3 (15 µm) broad band filters of the circumnuclear starburst of NGC 4321 (M 100). A detailed comparison with the emission at other wavelengths (U , B, Hα, and CO) is also presented. The nature and intensity of the mid-infrared emission is shown to be remarkably different from one star forming region to the next. For instance, sta...

The purpose of this study was to evaluate the interrater and test-retest reliability of 4-m and 6-m walking speed tests in elderly people with cognitive impairment. 50 subjects aged 65 and over with cognitive impairment were selected from an adult day-care centre and a nursing home. To examine interrater reliability, 21 people were evaluated independently by two researchers who administered the...

In this paper, we consider a multi-server queuing system in which additional servers are allowed for a longer queue to reduce the customer’s balking and reneging behavior. The customers are assumed to arrive in Poisson fashion and their service- times follow exponential distribution. The number of servers in long run depends on the queue-length. We obtain equilibrium queue size distribution. Th...

We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular an explicit formula for the law of the system output under inhomogeneous killing and when the input follows a time-inhomogeneous Poisson process. This approach allows the discussion of identifiabilit...

We give some general criteria, when κ-complete forcing preserves largeness properties – like κ-presaturation of normal ideals on λ (even when they concentrate on small cofinalities). Then we quite accurately obtain the consistency strength “NSλ is א1-preserving”, for λ > א2.