On 10/30/2014 04:32 PM, Ben Harris wrote: > and 2^96 - 17 for the "hyperelliptic >80 criteria". I would say 2^89 - 1 and 2^107 - 1, both Mersenne primes, would be a more adequate choice for genus 2 replacements to RSA-1024 and RSA-2048, respectively.