Restructuring
This commit is contained in:
20
solutions/ProjectEuler/027/desc.yml
Normal file
20
solutions/ProjectEuler/027/desc.yml
Normal file
@ -0,0 +1,20 @@
|
||||
title: Quadratic primes
|
||||
url: http://projecteuler.net/problem=27
|
||||
|
||||
desc: |
|
||||
Euler discovered the remarkable quadratic formula:
|
||||
n<> + n + 41
|
||||
It turns out that the formula will produce 40 primes for the consecutive values n = 0 to 39. However, when n = 40, 402 + 40 + 41 = 40(40 + 1) + 41 is divisible by 41, and certainly when n = 41, 41<34> + 41 + 41 is clearly divisible by 41.
|
||||
The incredible formula n<> - 79n + 1601 was discovered, which produces 80 primes for the consecutive values n = 0 to 79. The product of the coefficients, -79 and 1601, is -126479.
|
||||
Considering quadratics of the form:
|
||||
n<> + an + b, where |a| < 1000 and |b| < 1000
|
||||
where |n| is the modulus/absolute value of n
|
||||
e.g. |11| = 11 and |-4| = 4
|
||||
Find the product of the coefficients, a and b, for the quadratic expression that produces the maximum number of primes for consecutive values of n, starting with n = 0
|
||||
|
||||
solution: Bruteforce
|
||||
|
||||
solutions:
|
||||
solve.php:
|
||||
desc: Basic Solution - needs BCMath
|
||||
language: php
|
Reference in New Issue
Block a user