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4
questions
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Found $a^2\equiv b^2(\mod RSA\_1024)$ What are the chances?
Due to the size of the numbers, I am writing them as a code. Below are $a$ and $b$
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0
votes
1
answer
124
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Find integer $x$ such that $x^2 \mod {1799832043}$ is divisible by $67610791$
Find integer $x$ such that $x^2 \mod {n}$ is divisible by $p$
For values $n = 1799832043, p = 67610791$
I have been using Tonelli-Shanks algorithm to solve this and it works for small primes with ...
1
vote
0
answers
299
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Pohlig-Hellman algorithm
I'm trying to use the Pohlig-Hellman algorithm to solve for $x$ where $15^x=131(\bmod 337)$. This is what I have so far:
prime factors of p-1: $336=2^4*3*7$
$q=2: x=2^0*x_0+2^1*x_1+2^2*x_2+2^3*x_3$
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0
votes
1
answer
642
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Trailing zeroes in product of numbers with factorial power
I need to find the number of trailing zeroes in $1^{1!} \cdot 2^{2!} \cdot 3^{3!} \cdots N^{N!}$, where $N$ is natural number.
Assuming $N$ is very large, say $500$, where you cannot find factorial ...