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42 changes: 42 additions & 0 deletions project_euler/problem_010/sol1.rb
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#Project Euler Problem 10: https://projecteuler.net/problem=10
#Summation of primes
#The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17.
#Find the sum of all the primes below two million.
#References: https://en.wikipedia.org/wiki/Prime_number
def is_prime?(number)
value = true
if number > 1 and number < 4
# 2 and 3 are primes
value = true
elsif number < 2 or number % 2 == 0 or number % 3 == 0
# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
value = false
end
end_range = (Math.sqrt(number) + 1).to_i
# All primes number are in format of 6k +/- 1
for i in (5..end_range).step(6)
if number % i == 0 or number % (i + 2) == 0
value = false
end
end
result = value
end

def solution(max_total = 2000000)
sum = 1
num = 2
value = 1
while num < max_total and value < max_total
if is_prime?(num)
value += num
if value < max_total
sum = value
end
end
num += 1
end
result = sum
end

answer = solution()
p answer