New number theory generates mathematical algorithms for calculating the sequence of all prime numbers. Products of large primes are the foundation of modern cryptosystems used for secure internet communications, including blockchain ledger systems. These prime equations can be used for generation of asymmetric public-private keys, symmetric private keys, encryption and decryption algorithms. Advancements in quantum computers threaten the breaking of modern cryptography; with a synopsis on the vulnerabilities that can be targeted. Quantum effects can also be used to enhance security, with a futuristic vision on how to develop a quantum communicator that provides for perfect protected communications over infinite distances.