# Quad-power prime seeds

```ruby
var qpps = (1..Inf -> by(2).lazy.grep { .is_prime }.map {|n| (n-1)>>1 }.grep {|n|
    is_prime(n**2 + n + 1) && all_prime(n**3 + n + 1, n**4 + n + 1)
})

with (50) {|n|
    say "First #{n} quad-power prime seeds:"
    qpps.first(n).each_slice(10, {|*s| say s.map{ '%6s' % _ }.join(' ') })
}
```

#### Output:

```
First 50 quad-power prime seeds:
     1      2      5      6     69    131    426   1665   2129   2696
  5250   7929   9689  13545  14154  14286  16434  19760  25739  27809
 29631  36821  41819  46619  48321  59030  60500  61955  62321  73610
 77685  79646  80535  82655  85251  86996  91014  96566  97739 105939
108240 108681 119754 122436 123164 126489 140636 150480 153179 163070
```


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://trizen.gitbook.io/sidef-lang/programming_tasks/q/quad-power_prime_seeds.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.