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Milestones report

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The Milestones report on PrimeNet records past important events in the history of GIMPS. It also shows current progress toward future milestones.

Types of past milestones listed (important, significant, minor):

  • Discovery of new Mersenne primes.
  • Double checking all numbers less than a given Mersenne Prime, thus proving its place in the sequence of MP's (e.g. 'verifying' that M32 and M33 are not M33 and M34).
  • Testing all numbers less than a given Mersenne Prime once.
  • Double checking all numbers below some xx,000,000 threshold.
  • Testing all numbers below some xx,000,000 threshold once.

Current progress milestones listed:

  • "All exponents below xx,xxx,xxx have been tested and double-checked"
Indcates that the status of every Mersenne number (with a prime exponent) below the number listed is known (it has a known factor, it has been proven prime, or it has two Lucas-Lehmer tests with matching non-zero residues.)
  • "All exponents below xx,xxx,xxx have been tested at least once"
Indicates that every Mersenne number (with a prime exponent), below the number listed, has a known factor or has had at least one Lucas-Lehmer test performed on it.
  • "Countdown to testing all exponents below M(xxxxxxxx) once: z,zzz"
Indicates how many Mersenne numbers (with a prime exponent), below the Mersenne prime listed, do not have a known factor and have not at least one Lucas-Lehemer test.
  • "Countdown to proving M(xxxxxxxx) is the YY th Mersenne Prime: zzz,zzz"
Indicates how many first time L-L tests and double checks (combined) are needed to double check all Mersenne numbers (with a prime exponent), below the Mersenne prime listed (thus proving its place in the sequence of MP's).

External links