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## Main Question or Discussion Point

I hope I am correct in saying that Bertrand's postulate can be rephrased this way: the maximum prime gap following prime p is p-3, if p > 3.

Is this the closest

Wolfram MathWorld mentions 803 as a large known prime gap following 90874329411493, and 4247 following 10^314-1929 !

Is this the closest

__proven__result for the maximal prime gap?Wolfram MathWorld mentions 803 as a large known prime gap following 90874329411493, and 4247 following 10^314-1929 !