10001st prime

AUTHOR

polettix

https://projecteuler.net/problem=7

By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.

What is the 10001st prime number?

use v6;



# A simple implementation of Eratosthenes' sieve
sub primes_iterator {
    return sub {
        state %D;
        state $q //= 2;
        while %D{$q}:exists {
            my $p = %D{$q}:delete;

            my $x = $q + $p;
            $x += $p while %D{$x} :exists;
            %D{$x} = $p;
            ++$q;
        }
        %D{$q * $q} = $q;
        return $q++;
    }
}

#= nth: The number of primes we want, defaults to challenge's request
#= vebose: print verbose progress information
sub MAIN(Int :$nth = 10001, Bool :$verbose = False) {
    my $it = primes_iterator();
    for 1 .. $nth - 1 -> $i {
        $it();
        if $verbose {
            say "found $i primes so far" unless $i % 100;
        }
    }

    say $it();
}

# vim: expandtab shiftwidth=4 ft=perl6

See Also

prob001-cspencer.pl

Multiples of 3 and 5

prob001-eric256.pl

Multiples of 3 and 5

prob001-grondilu.pl

Multiples of 3 and 5

prob001-hexmode.pl

Multiples of 3 and 5

prob001-unobe.pl

Multiples of 3 and 5

prob002-eric256.pl

Even Fibonacci numbers

prob002-gerdr.pl

Even Fibonacci numbers

prob002-hexmode.pl

Even Fibonacci numbers

prob003-eric256.pl

Largest prime factor

prob003-gerdr.pl

Largest prime factor

prob003-hexmode.pl

Largest prime factor

prob003-lanny.pl

Largest prime factor

prob004-unobe.pl

Largest palindrome product

prob004-xfix.pl

Largest palindrome product

prob005-unobe.pl

Smallest multiple

prob005-xfix.pl

Smallest multiple

prob006-polettix.pl

Sum square difference

prob008-duff.pl

Largest product in a series

prob008-duff2.pl

Largest product in a series

prob009-gerdr-feeds.raku

Special Pythagorean triplet

prob009-gerdr.raku

Special Pythagorean triplet

prob009-polettix.pl

Special Pythagorean triplet

prob010-polettix.pl

Summation of primes

prob011-moritz.pl

Largest product in a grid

prob012-polettix.pl

Highly divisible triangular number

prob013-grondilu.pl

Large sum

prob014-felher.pl

Longest Collatz sequence

prob015-felher.pl

Lattice paths

prob016-grondilu.pl

Power digit sum

prob017-duff.pl

Number letter counts

prob018-felher.pl

Maximum path sum I

prob019-grondilu.pl

Counting Sundays

prob020-grondilu.pl

Factorial digit sum

prob021-gerdr.pl

Amicable numbers

prob022-grondilu.pl

Names scores

prob023-shlomif.pl

Non-abundant sums

prob024-moritz.pl

Lexicographic permutations

prob025-polettix.pl

1000-digit Fibonacci number

prob026-shlomif.pl

Reciprocal cycles

prob027-shlomif.pl

Quadratic primes

prob028-shlomif.pl

Number spiral diagonals

prob029-gerdr.pl

Distinct powers

prob029-polettix.pl

Distinct powers

prob031-shlomif.pl

Coin sums

prob033-andreoss.pl

Digit cancelling fractions

prob034-quinny.pl

Digit factorials

prob036-xenu.pl

Double-base palindromes

prob038-andreoss.pl

Pandigital multiples

prob039-quinny.pl

Integer right triangles

prob041-heyajulia-alternative.raku

Pandigital Prime

prob041-heyajulia.raku

Pandigital Prime

prob042-shlomif.p6

Coded triangle numbers

prob047-gerdr.pl

Distinct primes factors

prob052-duff.pl

Permuted multiples

prob053-duff.pl

Combinatoric selections

prob053-gerdr.pl

Combinatoric selections

prob054-andreoss.pl

Poker hands

prob055-shlomif.p6

Lychrel numbers

prob056-shlomif.p6

prob059-andreoss.pl

XOR decryption

prob063-moritz.pl

Powerful digit counts

prob063-polettix.pl

Powerful digit counts

prob065-andreoss.pl

Convergents of e

prob065-grondilu.pl

prob066-andreoss.pl

Diophantine equation

prob067-felher.pl

Maximum path sum II

prob080-andreoss.pl

Square root digital expansion

prob081-moritz.pl

Path sum: two ways

prob089-andreoss.pl

Roman numerals

prob092-moritz.pl

Square digit chains

prob097-andreoss.pl

Large non-Mersenne prime

prob098-andreoss.pl

Anagramic squares

prob099-andreoss.pl

Largest exponential

README.md

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