On August 3rd, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 46th Mersenne prime M42643801 for being in agreement with Collatz conjecture and supported it.
M42643801 required 573966881 steps to get from 1.70*1012837063 to 1. In the process the sequence took 85287601 first steps to expand by 8.13*107509200 times.
Full statistics for M42643801 Collatz sequence is presented below.
TESTED COLLATZ SEQUENCE FOR M42643801 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 1.698735E+12837063
DIGITS in NUMBER(N) = 12837064
BITS in NUMBER(N) = 42643801
MAXIMUM(N) = 1.380911E+20346264
DIGITS in MAXIMUM(N) = 20346265
BITS in MAXIMUM(N) = 67588827
STEPS to MAXIMUM(N) = 85287601
BASIC EXPANSION(N) = 8.129052E+7509200
DIGITS in BASIC EXPANSION(N) = 7509201
BITS in BASIC EXPANSION(N) = 24945026
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 265682454 (46.3%)
EVEN(N) = 368423056 (64.2%)
ODD(N) = 205543825 (35.8%)
DELAY(N) = 573966881 (100.0%)
COMPLETENESS(N) = 0.557902
RESIDUE(N) = 1.086900E+0
GAMMA(N) = 12.464229
STRENGTH(N) = -77550043
LEVEL(N) = 9693756
The definitions for presented parameters are given at Eric Roosendaal’s site.
The next number that we test will be the provisional 47th Mersenne prime M43112609.