On July 20th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 40th Mersenne prime M20996011 for being in agreement with Collatz conjecture and supported it.
M20996011 required 282515044 steps to get from 1.25*106320429 to 1. In the process the sequence took 41992021 first steps to expand by 2.06*103697214 times.
Full statistics for M20996011 Collatz sequence is presented below.
TESTED COLLATZ SEQUENCE FOR M20996011 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 1.259769E+6320429
DIGITS in NUMBER(N) = 6320430
BITS in NUMBER(N) = 20996011
MAXIMUM(N) = 2.590943E+10017643
DIGITS in MAXIMUM(N) = 10017644
BITS in MAXIMUM(N) = 33277892
STEPS to MAXIMUM(N) = 41992021
BASIC EXPANSION(N) = 2.056681E+3697214
DIGITS in BASIC EXPANSION(N) = 3697215
BITS in BASIC EXPANSION(N) = 12281881
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 130739827 (46.3%)
EVEN(N) = 181345672 (64.2%)
ODD(N) = 101169372 (35.8%)
DELAY(N) = 282515044 (100.0%)
COMPLETENESS(N) = 0.557881
RESIDUE(N) = 1.116120E+0
GAMMA(N) = 12.460772
STRENGTH(N) = -38190156
LEVEL(N) = 4773770
The definitions for presented parameters are given at Eric Roosendaal’s site.
The next number that we test will be the 40th Mersenne prime M24036583.