23y/o Software Developer and Data Scientist with interests in fields like Cybersecurity, Quantum Computing, and Mathematics.
// Fermat's last problem x^n+y^n=z^n
#!/usr/bin/perl
use strict;
use warnings;
sub fermat {
my ($n) = @_;
for (my $x = 0; $x < 100; $x++) {
for (my $y = 0; $y < $x+1; $y++) {
for (my $z = 0; $z < ($x**$n)+($y**$n) +1; $z++) {
if (($x**$n)+($y**$n) == ($z**$n)) {
print "$x^$n + $y^$n == $z^$n\n";
}
}
}
}
my $e = fermat(5);
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where φ = rac{1 + sqrt{5}}{2} (note that this number is the Golden Ratio). While many people are familiar with the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc., where each number is the sum of the previous two numbers), few know there is a formula to figure out any given Fibonacci number: the formula that we have above, where F(n) is the nth Fibonacci number. That is, to find the 100th Fibonacci number, you don’t have to calculate the first 99 numbers. You can just throw 100 into the formula.
The Explicit Formula for the Fibonacci SequenceImagination is more important than knowledge. For while knowledge defines all we currently know and understand, imagination points to all we might yet discover and create.
Albert Einstein
