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Prime Difference
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.
[Husk], 8 bytes Ψḟo≥⁰≠İ …
4y ago
[Dyalog APL Extended], 14 byte …
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[Raku], 33 bytes {1 …
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Ruby, 56 bytes ```ruby ->n …
3y ago
Japt, 15 14 bytes @§XnÈ …
3y ago
C (gcc), 126 129 bytes ```c …
4y ago
[JavaScript (Node.js)], 81 byt …
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[JavaScript (Node.js)], 86 byt …
4y ago
Post
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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