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edited Mar 6, 2021 at 1:45

edited Mar 6, 2021 at 1:45

J, 13¹³ 7 bytes

[:*/p_&q:@i.@#^]inv

p:@i.@# By itself, p: n returns the nth prime number, and # returns the length of a list. So this phrase returns the first l primes, where l is the input length.
^] Raised to the input elementwise.
[:*/ Product of that list.

As described here , the verb _ q: n returns the prime exponents of n. So the inverse inv of that verb is exactly what we want.

[:*/p:@i.@#^]

p:@i.@# By itself, p: n returns the nth prime number, and # returns the length of a list. So this phrase returns the first l primes, where l is the input length.
^] Raised to the input elementwise.
[:*/ Product of that list.

_&q:inv

As described here , the verb _ q: n returns the prime exponents of n. So the inverse inv of that verb is exactly what we want.

answered Mar 6, 2021 at 1:36

answered Mar 6, 2021 at 1:36

[:*/p:@i.@#^]

p:@i.@# By itself, p: n returns the nth prime number, and # returns the length of a list. So this phrase returns the first l primes, where l is the input length.
^] Raised to the input elementwise.
[:*/ Product of that list.