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Prime Gap Visualiser

Enter a number to find the nearest primes around it, measure the bracketing prime gap, and flag locally unusual gaps (simple heuristic). Works fully client-side.

Big integers supported (JavaScript BigInt). Commas/spaces/underscores are ignored. Max steps prevents runaway searches for huge values.


Results

Input (normalised)
Is the input itself prime?
Nearest lower prime
Distance: —
Nearest higher prime
Distance: —
Bracketing prime gap (higher − lower)
Local unusualness (heuristic)
Tip: useful for notes, sharing, or comparing inputs.

A prime gap is the distance between two consecutive primes. This tool focuses on the gap between the nearest prime below your number and the nearest prime above it.

It’s a simple comparison: if the bracketing gap is much larger than the adjacent prime gaps immediately below/above, it’s flagged. This is a quick heuristic, not a formal theorem.

It uses Miller–Rabin. It’s deterministic up to 64-bit, and very-low-error probabilistic beyond that.

Nearest primes can be far apart for large numbers. The “max steps” option limits how long the search is allowed to run.


See also: Prime Number Generator


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