No one I know of ever breaks these systems with exhaustive searches. Holding an exhaustive search up as some kind of bedrock of security is foolhardy.
As for cryptography, its all based on primes, and have you been watching what papers are being published regarding more efficient methods and searches for primes?
Ethical people would publish, unethical people would sell it to everyone elses detriment.
As for cryptography, its all based on primes, and have you been watching what papers are being published regarding more efficient methods and searches for primes?
Ethical people would publish, unethical people would sell it to everyone elses detriment.