Jörg Richstein

Learn More
Using a carefully optimized segmented sieve and an efficient checking algorithm, the Goldbach conjecture has been verified and is now known to be true up to 4 · 1014. The program was distributed to various workstations. It kept track of maximal values of the smaller prime p in the minimal partition of the even numbers, where a minimal partition is a(More)
A prime p satisfying the congruence 2p−1 ≡ 1 (mod p) is called a Wieferich prime. Although the number of Wieferich primes is believed to be infinite, the only ones that have been discovered so far are 1093 and 3511. This paper describes a search for further solutions. The search was conducted via a large scale Internet based computation. The result that(More)
To supplement existing data, solutions of ap−1 ≡ 1 (mod p2) are tabulated for primes a, p with 100 < a < 1000 and 104 < p < 1011. For a < 100, five new solutions p > 232 are presented. One of these, p = 188748146801 for a = 5, also satisfies the “reverse” congruence pa−1 ≡ 1 (mod a2). An effective procedure for searching for such “double solutions” is(More)
  • 1