I'm an engineer with experience in applied cryptography, in particular in Smart Card systems.
Feel free to edit my answers to fix obvious errors, or improve them on expression (I'm not a native English speaker).
54 How big an RSA key is considered secure today? mar 3 '12
24 What security authorities and standards reject $e=3$ in RSA, when, and with what rationale? may 25 '13
17 How secure would HMAC-SHA3 be? apr 24 '14
17 Does RSA work for any message M? oct 20 '11
17 Is it feasible to build an index of prime factors? oct 21 '11
17 Impacts of not using RSA exponent of 65537 jul 1 '12
17 RSA with probable primes may 24