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Updated 3 years ago
This notebook contains some python programs for Project Euler solutions.
Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
multiples = []
num = 1
while num < 1000:
if num % 3 == 0 or num % 5 == 0:
multiples.append(num)
num += 1
print(sum(multiples))233168
Even Fibonacci numbers
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.
a = 1
b = 2
term = 0
even_sum = 2
while b <= 4000000:
term = a + b
if (term % 2 == 0):
even_sum += term
a, b = b, term
print(even_sum)
4613732