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Comments on Prime Difference

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Prime Difference

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Given an integer n, output the smallest prime such that the difference between it and the next prime is at least n.

For example, if n=5, you would output 23, since the next prime is 29, and 29-23>=5.

More Input/Output Examples

1 -> 2 (3 - 2 >= 1)
2 -> 3 (5 - 3 >= 2)
3 -> 7 (11 - 7 >= 3)
4 -> 7
5 -> 23
6 -> 23
7 -> 89
8 -> 89

This is code-golf, so shortest code wins.

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General comments (1 comment)
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Husk, 8 bytes

Ψḟo≥⁰≠İp

Try it online! or Verify first 8 values

It is always a good day when you get to use Ψ in your program.

Explanation

Ψḟo≥⁰≠İp
      İp to the infinite list of prime numbers,
Ψ        apply this higher order function on overlapping pairs
 ḟo      first element where
     ≠   absolute difference
   ≥⁰    is greater than or equal to the input.
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1 comment thread

Wow, never thought I'd actually see toadj_ used somewhere. +1 (1 comment)
Wow, never thought I'd actually see toadj_ used somewhere. +1
user‭ wrote almost 3 years ago

Wow, never thought I'd actually see toadj_ used somewhere. +1