You can do better than using the arbitrary range of +100/-100, (which isn't going to be good enough when your numbers get larger).
Really? Is there a range of 200 consecutive numbers within which there are no primes? My understanding was that they appeared with regular density, no matter how high you climbed.
Update:
And I get to answer my own question. I Googled up this webpage. It's 210 numbers to the next prime from 20831323.
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