Summation of primes

AUTHOR

polettix

https://projecteuler.net/problem=10

The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17.

Find the sum of all the primes below two million.

use v6;



# The upper bound, defaults to challenge's request
my $upper_bound = shift(@*ARGS) || 2_000_000;

# A simple implementation of Eratosthenes' sieve. Modified to avoid
# registering stuff beyond the $upper_bound.
sub primes_iterator {
    return sub {
        state %D;
        state $q //= 2;
        while (%D{$q}:exists) {
            my $p = %D{$q};

            my $x = $q + $p;
            $x += $p while %D{$x}:exists;
            %D{$x} = $p if $x <= $upper_bound;
            ++$q;
        }
        my $q2 = $q * $q;
        %D{$q2} = $q if $q2 <= $upper_bound;
        return $q++;
    }
}

my $it = primes_iterator();
my $prime = $it();
my $sum = 0;
my $feedback_threshold = 0; # To give some life signals during computation...
while $prime < $upper_bound {
    $sum += $prime;
    if $prime > $feedback_threshold {
        say "# Processed up to prime number: $prime";
        $feedback_threshold += 10000;
    }
    $prime = $it();
}
say 'result: ', $sum;

# vim: expandtab shiftwidth=4 ft=perl6

See Also

prob001-cspencer.raku

Multiples of 3 and 5

prob001-eric256.raku

Multiples of 3 and 5

prob001-grondilu.raku

Multiples of 3 and 5

prob001-hexmode.raku

Multiples of 3 and 5

prob001-unobe.raku

Multiples of 3 and 5

prob002-eric256.raku

Even Fibonacci numbers

prob002-gerdr.raku

Even Fibonacci numbers

prob002-hexmode.raku

Even Fibonacci numbers

prob003-eric256.raku

Largest prime factor

prob003-gerdr.raku

Largest prime factor

prob003-hexmode.raku

Largest prime factor

prob003-lanny.raku

Largest prime factor

prob004-unobe.raku

Largest palindrome product

prob004-xfix.raku

Largest palindrome product

prob005-unobe.raku

Smallest multiple

prob005-xfix.raku

Smallest multiple

prob006-polettix.raku

Sum square difference

prob007-polettix.raku

10001st prime

prob008-duff.raku

Largest product in a series

prob008-duff2.raku

Largest product in a series

prob009-gerdr-feeds.raku

Special Pythagorean triplet

prob009-gerdr.raku

Special Pythagorean triplet

prob009-polettix.raku

Special Pythagorean triplet

prob011-moritz.raku

Largest product in a grid

prob012-polettix.raku

Highly divisible triangular number

prob013-grondilu.raku

Large sum

prob014-felher.raku

Longest Collatz sequence

prob015-felher.raku

Lattice paths

prob016-grondilu.raku

Power digit sum

prob017-duff.raku

Number letter counts

prob018-felher.raku

Maximum path sum I

prob019-grondilu.raku

Counting Sundays

prob020-grondilu.raku

Factorial digit sum

prob021-gerdr.raku

Amicable numbers

prob022-grondilu.raku

Names scores

prob023-shlomif.raku

Non-abundant sums

prob024-moritz.raku

Lexicographic permutations

prob025-polettix.raku

1000-digit Fibonacci number

prob026-shlomif.raku

Reciprocal cycles

prob027-shlomif.raku

Quadratic primes

prob028-shlomif.raku

Number spiral diagonals

prob029-gerdr.raku

Distinct powers

prob029-polettix.raku

Distinct powers

prob031-shlomif.raku

Coin sums

prob033-andreoss.raku

Digit cancelling fractions

prob034-quinny.raku

Digit factorials

prob036-xenu.raku

Double-base palindromes

prob038-andreoss.raku

Pandigital multiples

prob039-quinny.raku

Integer right triangles

prob041-heyajulia-alternative.raku

Pandigital Prime

prob041-heyajulia.raku

Pandigital Prime

prob042-shlomif.raku

Coded triangle numbers

prob047-gerdr.raku

Distinct primes factors

prob052-duff.raku

Permuted multiples

prob053-duff.raku

Combinatoric selections

prob053-gerdr.raku

Combinatoric selections

prob054-andreoss.raku

Poker hands

prob055-shlomif.raku

Lychrel numbers

prob056-shlomif.raku

prob059-andreoss.raku

XOR decryption

prob063-moritz.raku

Powerful digit counts

prob063-polettix.raku

Powerful digit counts

prob065-andreoss.raku

Convergents of e

prob065-grondilu.raku

prob066-andreoss.raku

Diophantine equation

prob067-felher.raku

Maximum path sum II

prob080-andreoss.raku

Square root digital expansion

prob081-moritz.raku

Path sum: two ways

prob089-andreoss.raku

Roman numerals

prob092-moritz.raku

Square digit chains

prob097-andreoss.raku

Large non-Mersenne prime

prob098-andreoss.raku

Anagramic squares

prob099-andreoss.raku

Largest exponential

README.md

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