number-theory

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Representing an integer as the sum of four squares

Given a positive integer m,find four integers a, b, c, 开发者_开发百科d such that a^2 + b^2 + c^2 + d^2 = m in O(m^2 log m). Extra space can be used.[详细]

2023-04-08 04:35 分类：问答
How to return more than one value from a C++ function?

I am interested if I can return more then one value from a function. For example consider such a function: extended euclidean algorithm. The basic step is described by this[详细]

2023-04-03 09:49 分类：问答
How to find total number of divisors upto N?

Given a number N, have to find number the divisors for all i where i>=1 and i<=N. Can\'t figure it out.Do I 开发者_运维百科have to this using prime factorization? Limit is N<=10^9[详细]

2023-04-03 05:26 分类：问答
<Algorithms >Divisor Problem

Given a the number of divisors, we have to find the first triangle number. A triangle number is same as sum of natural numbers.[详细]

2023-03-06 23:41 分类：问答
What is an elegant way to find all prime numbers in a specified range in R? [duplicate]

This question already has answers here: Closed 11 years ago. Possible Duplicate: Generate a list of primes in R up to a certain number[详细]

2023-03-02 03:02 分类：问答
Speed up calculation of partitions in Haskell

I\'m trying to solve Euler problem 78, which basically asks for the first number where the partition function p(n) is divisible by 1000000.开发者_如何学Go[详细]

2023-03-01 02:08 分类：问答
Group theory within Cryptography regarding order of elements in a group of integers Z*p

I was kinda thrown in the deep end into group theory and i am a bit lost for a Cryptography class i have.[详细]

2023-02-28 16:07 分类：问答
Generate very very large random numbers

How would you generate a very very large random number? I am thinking on the order of 2^10^9 (one billion bits). Any programming language -- I assume the solution would translate to other languages.[详细]

2023-02-19 20:26 分类：问答
What's the fastest algorithm to represent a prime as sum of two squares?

I could use two loops to check for all combinations of two integers that less than p prime, but it\'s 开发者_开发知识库very inefficient. Is there a better algorithm to approach this problem? Any idea?[详细]

2023-02-18 22:32 分类：问答
Getting a list of square-free numbers

One way to get that is for the natu开发者_如何学Goral numbers (1,..,n) we factorise each and see if they have any repeated prime factors, but that would take a lot of time for large n. So is there any[详细]

2023-02-16 19:14 分类：问答