On August 28th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 48th Mersenne prime M57885161 for being in agreement with Collatz conjecture and supported it.
M57885161 required 779044992 steps to get from 5.82*1017425169 to 1. In the process the sequence took 115770321 first steps to expand by 1.52*1010193071 times.
Full statistics for M57885161 Collatz sequence is presented below.
TESTED COLLATZ SEQUENCE FOR M57885161 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 5.818873E+17425169
DIGITS in NUMBER(N) = 17425170
BITS in NUMBER(N) = 57885161
MAXIMUM(N) = 8.851149E+27618240
DIGITS in MAXIMUM(N) = 27618242
BITS in MAXIMUM(N) = 91745811
STEPS to MAXIMUM(N) = 115770321
BASIC EXPANSION(N) = 1.521111E+10193071
DIGITS in BASIC EXPANSION(N) = 10193072
BITS in BASIC EXPANSION(N) = 33860650
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 360607457 (46.3%)
EVEN(N) = 500062287 (64.2%)
ODD(N) = 278982705 (35.8%)
DELAY(N) = 779044992 (100.0%)
COMPLETENESS(N) = 0.557896
RESIDUE(N) = 1.168980E+0
GAMMA(N) = 12.463253
STRENGTH(N) = -105273336
LEVEL(N) = 13159168
The definitions for presented parameters are given at Eric Roosendaal’s site.
The next number that we test will be the provisional 49th and the last known Mersenne prime M74207281. As far as we know, the numbers of such magnitude have never been tested so far for Collatz conjecture confirmation.