{p1,..., pk : p1 < p2 <...< pk} is called a prime k -tuple of distance s if p1, p2,..., pk are consecutive prime numbers and pk - p1 = s . For example, with k = 4 , s = 8 , {11, 13, 17, 19} is a prime 4-tuple of distance 8. Given an interval [a,…
A data stream is a real-time, continuous, ordered sequence of items. Some examples include sensor data, Internet traffic, financial tickers, on-line auctions, and transaction logs such as Web usage logs and telephone call records. Likewise, queries o…
Sieve of Eratosthenes (素数筛选算法) Given a number n, print all primes smaller than or equal to n. It is also given that n is a small number. For example, if n is 10, the output should be “2, 3, 5, 7″. If n is 20, the output should be “2, 3, 5, 7, 11, 13,…
思路:容易得到s[n]=s[n-1]+s[n-2],也就是fib数. 求第k小的fib质数的也就是第k个质数数-2,当k>2时. 在就是s[n]/x%m=s[n]%(x*m)/x. 代码如下: #include<cstdio> #include<algorithm> #include<cstring> #define ll long long #define M 1000005 using namespace std; ll k,x,m; int prime[M]…
The smallest number expressible as the sum of a prime square, prime cube, and prime fourth power is 28. In fact, there are exactly four numbers below fifty that can be expressed in such a way: 28 = 22 + 23 + 24 33 = 32 + 23 + 24 49 = 52 + 23 + 24 47…
