Function Repository Resource:

LargestPrimeGap

Give the greatest gap between the primes up to the argument

Contributed by: Wolfram Staff

ResourceFunction["LargestPrimeGap"][arg]

gives the largest difference between primes up to arg, which must be at least 3.

Examples

Here are the primes up to 13:

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The largest gap is between 7 and 11:

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The function is nondecreasing:

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Although the gaps are unbounded, they rise slowly:

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Wolfram Language 11.3 (March 2018) or above