Prime numbers:
$2$ $3$ $5$ $7$ $11$ $13$ $17$ $19$ $23$ $29$ ….
Difference between to consecutive primes:
$1$ $2$ $2$ $4$ $2$ $4$ $2$ $4$ $6$ ….
We know that there are infinite prime numbers. This is Ok. But does the difference between two consecutive prime numbers have any upper bound as the primes go to infinity? Can it be infinite?
Best Answer
Answer in the comments by David Mitra:
So no, the sequence does not converge.