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*10^{12837063} to 1. In the process the sequence took 85287601 first steps to expand by 8.13*10^{7509200} 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.