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Rev

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Prime Powers of Primes

For the purpose of this challenge, a Prime Power of a Prime (PPP) is defined as a number that can be defined as a prime number to the power of a prime number. For example, 9 is a PPP because it can be represented as 3^2. 81 on the other hand is not a PPP because it can only be represented as 3^4, and 4 is not prime. The first few PPPs are: 4, 8, 9, 25, 27, 32, 49, 121, 125, 128, 169, 243, 289, 343... This is OEIS sequence A053810

Your Task:

Write a program or function that for an input integer n returns/outputs the nth PPP, either 1-indexed or 0-indexed, whichever you prefer.

Input:

An integer between 0 and 1,000, received through any reasonable method.

Output:

The PPP at the index indicated by the input.

Test Cases:

These are 1-indexed, and so, if your program takes 0-indexed input, the same output should be arrived at for the stated input - 1.

3 -> 9
6 -> 32
9 -> 125

Scoring:

This code-golf,lowest score in bytes wins!

Answer*

If this is an answer to a challenge…

…Be sure to follow the challenge specification. However, please refrain from exploiting obvious loopholes. Answers abusing any of the standard loopholes are considered invalid. If you think a specification is unclear or underspecified, comment on the question instead.
…Try to optimize your score. For instance, answers to code-golf challenges should attempt to be as short as possible. You can always include a readable version of the code in addition to the competitive one. Explanations of your answer make it more interesting to read and are very much encouraged.
…Include a short header which indicates the language(s) of your code and its score, as defined by the challenge.

More generally…

…Please make sure to answer the question and provide sufficient detail.
…Avoid asking for help, clarification or responding to other answers (use comments instead).

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\$\begingroup\$ Oh, I like the use of » instead of J so 0\n1 isn't interpret as truthy! But you can save a byte in the legacy version of 05AB1E (which you also used in your TIO), by omitting the ½, since this is done implicitly for µ (second bullet-point in this 05AB1E tip of mine). Also, ʒĀ} can be 0K. 7 bytes \$\endgroup\$

Kevin Cruijssen
– Kevin Cruijssen

2019年04月12日 13:34:43 +00:00
Commented Apr 12, 2019 at 13:34
\$\begingroup\$ @KevinCruijssen Cool. Thanks! \$\endgroup\$

Arnauld
– Arnauld

2019年04月12日 13:40:43 +00:00
Commented Apr 12, 2019 at 13:40

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