Right, so what you're saying is that when the primes are smaller, as they used to be able to be, strong (and safe) primes were a good idea because the earlier methods of factoring could exploit their potential weaknesses. However, it's now the case that with ECM and GNFS methods of factoring we've had to move to much, much larger primes, so the weaknesses are no longer relevant.
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Right, so what you're saying is that when the primes are smaller, as they used to be able to be, strong (and safe) primes were a good idea because the earlier methods of factoring could exploit their potential weaknesses. However, it's now the case that with ECM and GNFS methods of factoring we've had to move to much, much larger primes, so the weaknesses are no longer relevant.
Thank you.