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Make the value of e part of the question
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fgrieu
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Let's sayAssume:

  • $x = m^{e-1}\bmod n$
  • $y = m^{d-1}\bmod n$

Here $m$ is a message, $e$ is the public exponent, $d$ is athe private key and $n$ is the modulus of an RSA key pair.

Now if I know $e$$e=65537$, $x$, $y$, and $n$, can I retrieve the message $m$?

Let's say:

  • $x = m^{e-1}\bmod n$
  • $y = m^{d-1}\bmod n$

Here $m$ is a message, $e$ is the public exponent, $d$ is a private key and $n$ is the modulus of an RSA key pair.

Now if I know $e$, $x$, $y$, and $n$, can I retrieve the message $m$?

Assume:

  • $x = m^{e-1}\bmod n$
  • $y = m^{d-1}\bmod n$

Here $m$ is a message, $e$ is the public exponent, $d$ is the private key and $n$ is the modulus of an RSA key pair.

Now if I know $e=65537$, $x$, $y$, and $n$, can I retrieve the message $m$?

Polish
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fgrieu
  • 145.5k
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  • 319
  • 611

Let's say:

  • $x = m^{e-1}\bmod n$
  • $y = m^{d-1}\bmod n$

Here $m$ is a message, $e$ is the public exponent, $d$ is a private key and $n$ is the modulus of an RSA key pair.

Now if I know $e, x, y$$e$, $x$, $y$, and $n$, can I retrieve the message $m$?

Let's say:

  • $x = m^{e-1}\bmod n$
  • $y = m^{d-1}\bmod n$

Here $m$ is a message, $e$ is public exponent, $d$ is private key and $n$ is the modulus.

Now if I know $e, x, y$, and $n$, can I retrieve the message $m$?

Let's say:

  • $x = m^{e-1}\bmod n$
  • $y = m^{d-1}\bmod n$

Here $m$ is a message, $e$ is the public exponent, $d$ is a private key and $n$ is the modulus of an RSA key pair.

Now if I know $e$, $x$, $y$, and $n$, can I retrieve the message $m$?

latexify
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kelalaka
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Let's say:
x = me-1 % n
y = md-1 % n
Here m

  • $x = m^{e-1}\bmod n$
  • $y = m^{d-1}\bmod n$

Here $m$ is a message, e$e$ is public exponent, d$d$ is private key and n$n$ is the modulus.
Now

Now if I know e, x$e, x, y$, y and n$n$, can I retrieve the message m $m$?

Let's say:
x = me-1 % n
y = md-1 % n
Here m is message, e is public exponent, d is private key and n is modulus.
Now if I know e, x, y and n, can I retrieve the message m ?

Let's say:

  • $x = m^{e-1}\bmod n$
  • $y = m^{d-1}\bmod n$

Here $m$ is a message, $e$ is public exponent, $d$ is private key and $n$ is the modulus.

Now if I know $e, x, y$, and $n$, can I retrieve the message $m$?

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