This isnot really new work, see eg https://eprint.iacr.org/2012/064.pdf https://eprint.iacr.org/2012/064.pdf (and http://crypto.stanford.edu/~dabo/papers/RSA-su

This isnot really new work, see eg https://eprint.iacr.org/2012/064.pdf https://eprint.iacr.org/2012/064.pdf (and http://crypto.stanford.edu/~dabo/papers/RSA-survey.pdf http://crypto.stanford.edu/~dabo/papers/RSA-survey.pdf if you're interested in other RSA weaknesses)