Distinct primes factors

AUTHOR

Gerhard R

https://projecteuler.net/problem=47

The first two consecutive numbers to have two distinct prime factors are:

14 = 2 Ɨ 7 15 = 3 Ɨ 5

The first three consecutive numbers to have three distinct prime factors are:

644 = 2Ā² Ɨ 7 Ɨ 23 645 = 3 Ɨ 5 Ɨ 43 646 = 2 Ɨ 17 Ɨ 19.

Find the first four consecutive integers to have four distinct prime factors. What is the first of these numbers?

To run this example, the associated C file (prob047-gerdr.c) needs to be compiled into a shared object library.

In GCC this is achieved like so:

$ gcc --std=c99 -fPIC -c -o prob047-gerdr.o prob047-gerdr.c
    $ gcc -shared -o prob047-gerdr.so prob047-gerdr.o

After which, the example can be run as expected:

$ perl6 prob047-gerdr.pl
use v6;



use NativeCall;

sub factors(int32 $n) returns int32 is native($*SPEC.catdir($*PROGRAM-NAME.IO.dirname, 'prob047-gerdr')) { * }

sub MAIN(Int $N = 4) {
    my int $n = 2;
    my int $i = 0;

    while $i != $N {
        $i = factors($n) == $N ?? $i + 1 !! 0;
        $n = $n + 1;
    }

    say $n - $N;
}

# vim: expandtab shiftwidth=4 ft=perl6

See Also

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Number letter counts

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Non-abundant sums

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Distinct powers

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Coin sums

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Digit factorials

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Double-base palindromes

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Pandigital multiples

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Lychrel numbers

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XOR decryption

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Powerful digit counts

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Powerful digit counts

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Convergents of e

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Maximum path sum II

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Square root digital expansion

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Roman numerals

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Square digit chains

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README.md

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