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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 …
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[Dyalog APL Extended], 14 byte …
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[Raku], 33 bytes {1 …
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Ruby, 56 bytes ```ruby ->n …
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Japt, 15 14 bytes @§XnÈ …
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C (gcc), 126 129 bytes ```c …
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[JavaScript (Node.js)], 81 byt …
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[JavaScript (Node.js)], 86 byt …
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