Created
July 6, 2016 20:26
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Find the 444th Prime number converted to hexadecimal which contains the word "beef"
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<?php | |
set_time_limit(0); | |
function isPrime($number) { | |
$sqrt = ceil(sqrt($number)); | |
if ($number <= 1) { | |
return FALSE; | |
} else if ($number <= 3) { | |
return TRUE; | |
} else if ( !($number % 2) || !($number % 3) ) { | |
return FALSE; | |
} | |
for($i = 3; $i <= $sqrt; $i = $i+2) { | |
if (!($number % $i)) { | |
return FALSE; | |
} | |
} | |
return TRUE; | |
} | |
function findString($occurrence=1, $string='beef') { | |
$i = 1; | |
$current = 0; | |
while (TRUE) { | |
if (strpos(dechex($i), $string) !== FALSE && isPrime($i) === TRUE) { | |
$current++; | |
if ($current === $occurrence) { | |
return $i; | |
} | |
} | |
$i++; | |
} | |
} | |
//find first prime with beef | |
$beef = findString(); | |
var_dump($beef, dechex($beef)); | |
//find 444th prime with beef | |
$beef = findString(444); | |
var_dump($beef, dechex($beef)); | |
?> |
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