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# Perfect totient numbers

```perl
use Prime::Factor;

my \𝜑 = lazy 0, |(1..*).hyper.map: -> \t { t * [*] t.&prime-factors.squish.map: 1 - 1/* }
my \𝜑𝜑 = Nil, |(3, *+2 … *).grep: -> \p { p == sum 𝜑[p], { 𝜑[$_] } … 1 };

put "The first twenty Perfect totient numbers:\n",  𝜑𝜑[1..20];
```

#### Output:

```
The first twenty Perfect totient numbers:
3 9 15 27 39 81 111 183 243 255 327 363 471 729 2187 2199 3063 4359 4375 5571
```