Possible flaw in RSA and other modulus based encryption algorithms.

I am investigating a possible problem involved in certain modulus based encryption algorithms such as RSA and other encryption algorithms that are modulus based. I was wondering if your could confirm my fears that we have a problem. I have placed a several demos online at RSA Problems Scenario One

RSA Problems Scenario Two

An Elliptical Problems Scenario and finally A Rabin Problems Scenario

If I could have you honest opinions about it I would be ablidged. Thanks in advance.