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The protection on many public key encoding schemes depended on the intractability of detecting the integer factoring problem such as RSA scheme. However, there are great deals of researches regarding the RSA factoring modulus compared with the other type of attack the RSA scheme. So the need for more methods of attacks other than RSA factoring modulus to find an effective and quicker algorithm to solve this problem is still crucial. This paper introduces a new algorithmic program which approaches the RSA scheme. The suggested algorithm aims to find the private key of the RSA scheme and then factoring the modulus based on the public key of the RSA scheme.
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