这个代码片段定义了一个PrimeWriter类,其中包含用于判断素数、查找指定范围内的素数、将素数写入文件的静态方法,并在main方法中执行了整个过程。运行这个程序后,你将在当前目录下找到一个名为primes.dat的文件,其中包含了1到1000之间的所有素数。
Count the number of primes (orprime tupletsin an interval. This looks up the largest value in the table that is smaller than the requested value and computes the remaining values. Note thatprimepiis logically equivalent to countprimes withstart=1. Forstart=1, The functionprimepiis often much...
In this note we have studied some properties of decimal digits obtained by dividing 1 by primes which have maximum period property, namely, inverses of primes, p, whose decimal representation repeats after p-1. For such primes up to 1000, we have given a method for finding decimal digits ...
How many integers a from 1 to 1000 are there such that a^{100} -1 is divisible by 1000? How many numbers between 111 and 100100100 (inclusive) are divisible by 555 or 333? How many numbers between 1 and 100 (inclusive) are divisible b...
sieve[i*i/2::i] = [False] * ((n-i*i-1)/(2*i)+1) return [2] + [2*i+1 for i in xrange(1,n/2) if sieve[i]] def rwh_primes2(n): # https://stackoverflow.com/questions/2068372/fastest-way-to-list-all-primes-below-n-in-python/3035188#3035188 ...
Pseudohypoxia was characterized by massive overexpression of HIF2α but not HIF1α (Figure 5A). In all cell types, HIF2α stabilization and nuclear translocation can be induced at levels similar to that of Sdhb−/− cells by O2 deprivation for 72 h (Figure 5B). Indeed, cultivating all...
In this paper, we prove a generalization of Mertens' theorem to Beurling primes, namely that lim x →∞ 1 ln x ∏ p x ( 1 p 1 ) 1 = A e γ, where γ is Euler's constant and Ax is the asymptotic number of generalized integers less than x. Thus the limit M = lim x →∞ ...
In Experiment 2, subjects made no overt response to the primes. Priming was conditionalized on recognition of the primes on a subsequent test. The pattern was the same as Experiment 1: There was priming only for recognized primes; recognition memory showed a pattern consistent with retroactive ...
Lipopolysaccharide primes the respiratory burst of Atlantic salmon SHK-1 cells through protein kinase C-mediated phos- phorylation of p47phox. Dev Comp Immunol 2010; 34: 1242-1253.Olavarria, V.H.; Gallardo, L.; Figueroa, J.E.; Mulero, V. Lipopolysaccharide primes the respiratory burst of ...