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update
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@ -274,7 +274,9 @@ class Session
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$public_key_fingerprint = $ResPQ['server_public_key_fingerprints'][0];
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$pq_bytes = $ResPQ['pq'];
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$pq = bytes_to_long($pq_bytes);
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var_dump($this->PrimeModule->primefactors($pq));
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var_dump($this->PrimeModule->pollard_brent(2118588165281151121));
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var_dump($this->PrimeModule->primefactors(2118588165281151121));die;
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list($p, $q) = $this->PrimeModule->primefactors($pq);
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if ($p > $q) {
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list($p, $q) = [$q, $p];
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@ -146,6 +146,7 @@ class Session:
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pq_bytes = ResPQ['pq']
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pq = bytes_to_long(pq_bytes)
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print(prime.pollard_brent(2118588165281151121))
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print(prime.primefactors(2118588165281151121))
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exit()
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[p, q] = prime.primefactors(pq)
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14
prime.php
14
prime.php
@ -12,7 +12,7 @@ class PrimeModule {
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$res = [];
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for ($i = 2; $i <= $N; $i++)
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{
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if($i % 2 != 1) continue;
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if($i % 2 != 1 && $i != 2) continue;
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$d = 3;
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$x = sqrt($i);
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while ($i % $d != 0 && $d < $x) $d += 2;
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@ -68,24 +68,24 @@ class PrimeModule {
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while (($g == 1)) {
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$x = $y;
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foreach (pyjslib_range($r) as $i) {
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$y = ((pow($y, 2, $n) + $c) % $n);
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$y = ((posmod(pow($y, 2), $n) + $c) % $n);
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}
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$k = 0;
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while (($k < $r) && ($g == 1)) {
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$ys = $y;
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foreach (pyjslib_range(min($m, ($r - $k))) as $i) {
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$y = ((pow($y, 2, $n) + $c) % $n);
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$y = ((posmod(pow($y, 2), $n) + $c) % $n);
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$q = (($q * abs(($x - $y))) % $n);
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}
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$g = gcd($q, $n);
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$g = $this->gcd($q, $n);
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$k += $m;
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}
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$r *= 2;
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}
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if (($g == $n)) {
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while (true) {
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$ys = ((pow($ys, 2, $n) + $c) % $n);
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$g = gcd(abs(($x - $ys)), $n);
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$ys = ((posmod(pow($ys, 2), $n) + $c) % $n);
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$g = $this->gcd(abs(($x - $ys)), $n);
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if (($g > 1)) {
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break;
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}
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@ -172,7 +172,7 @@ class PrimeModule {
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}
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function lcm($a, $b)
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{
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return floor(abs(($a * $b)) / gcd($a, $b));
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return floor(abs(($a * $b)) / $this->gcd($a, $b));
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}
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}
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1
prime.py
1
prime.py
@ -97,7 +97,6 @@ def primefactors(n, sort=False):
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if isprime(n):
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factors.append(n)
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break
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print(pollard_brent(n))
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factor = pollard_brent(n) # trial division did not fully factor, switch to pollard-brent
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factors.extend(primefactors(factor)) # recurse to factor the not necessarily prime factor returned by pollard-brent
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n //= factor
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