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RSA 1024 bit recover private exponent from many signatures

I have an RSA signature of 1024 bit where i know the following:

  • Public modulus N
  • Public exponent (0x03)
  • A lot of cypher message

Summary:

An MD5 hash is calculated from a collection of byte and is used as message (M). Our teacher give us more than one signature in order to recover the private exponente d.

Question:

Can someone give advice to find a pratical way to obtain one of several working private exponent d searching transpositions of these signature?

itseeder
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