Consecutive prime sum
The prime \( 41 \), can be written as the sum of six consecutive primes:
\[ 41 = 2 + 3 + 5 + 7 + 11 + 13 \]
This is the longest sum of consecutive primes that adds to a prime below one-hundred.
The longest sum of consecutive primes below one-thousand that adds to a prime, contains \( 21 \) terms, and is equal to \( 953 \).
Which prime, below one-million, can be written as the sum of the most consecutive primes?