Project 1: list comprehensions
... p + 2 * k^2, where p is prime and k>0 . (The answer: [5777, 5993].) This is known as Goldbach’s other conjecture. As a head start, here is some code that generates the prime numbers. The following code uses the function takeWhile, not covered in chapters 1 or 2. takeWhile takes elements from a list ...
... p + 2 * k^2, where p is prime and k>0 . (The answer: [5777, 5993].) This is known as Goldbach’s other conjecture. As a head start, here is some code that generates the prime numbers. The following code uses the function takeWhile, not covered in chapters 1 or 2. takeWhile takes elements from a list ...
Sonic Sifter Air Jet Sizer
... within the sample helping to fluidise the sample and clear any blocked apertures. Undersize sample is discharged into the vacuum unit. ...
... within the sample helping to fluidise the sample and clear any blocked apertures. Undersize sample is discharged into the vacuum unit. ...
Primehunting_uj - Eötvös Loránd Tudományegyetem
... x x ~ ln( x) de la Vallée Poussin and Hadamard (1896) proved The probability that the numbers f1(n), …, fs(n) are simultaneously prime would be ...
... x x ~ ln( x) de la Vallée Poussin and Hadamard (1896) proved The probability that the numbers f1(n), …, fs(n) are simultaneously prime would be ...
abstract
... Speaker: George Pappas Title: Reductions of Shimura varieties modulo primes Abstract: Constructing and understanding integral models of Shimura varieties and their reductions modulo prime numbers is important for many applications in number theory. The subject is also closely connected to representa ...
... Speaker: George Pappas Title: Reductions of Shimura varieties modulo primes Abstract: Constructing and understanding integral models of Shimura varieties and their reductions modulo prime numbers is important for many applications in number theory. The subject is also closely connected to representa ...
Sieve of Eratosthenes
In mathematics, the sieve of Eratosthenes (Ancient Greek: κόσκινον Ἐρατοσθένους, kóskinon Eratosthénous), one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the multiples of 2.The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime. This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime.The sieve of Eratosthenes is one of the most efficient ways to find all of the smaller primes. It is named after Eratosthenes of Cyrene, a Greek mathematician; although none of his works have survived, the sieve was described and attributed to Eratosthenes in the Introduction to Arithmetic by Nicomachus.The sieve may be used to find primes in arithmetic progressions.
