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Luís Ramalho

Engineering, Product, Business & Management

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Today is a good day! I’m among the 7% that solved 50 Euler problems. Woohoo! Ok, ok! Enough bragging, so the problem 50 is called consecutive prime sum in which one must find the prime, below one-million, that can be written as the sum of the most consecutive primes.

My first reaction was to compute the sum of all consecutive prime numbers until I got 1 million, then if that number was not a prime itself I would start removing the lowest primes and seeing if there’s space to add the next largest prime.

int limit = 1_000_000;
ArrayList<Integer> primes = getPrimes(0, limit);

int sum = 0;
int i = 0;
while (sum + primes.get(i) < limit) {
    sum += primes.get(i);

int start = 0;
int end = i;
while (!isPrime(sum)) {
    sum -= primes.get(start);
    while (sum + primes.get(end) < limit) {
        sum += primes.get(end);
    end = i;

return sum;

The full solution can be found here.