On August 7th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 47th Mersenne prime M43112609 for being in agreement with Collatz conjecture and supported it.
M43112609 required 580260946 steps to get from 3.16*1012978188 to 1. In the process the sequence took 86225217 first steps to expand by 7.96*107591753 times.
Full statistics for M43112609 Collatz sequence is presented below.
TESTED COLLATZ SEQUENCE FOR M43112609 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 3.164703E+12978188
DIGITS in NUMBER(N) = 12978189
BITS in NUMBER(N) = 43112609
MAXIMUM(N) = 2.519696E+20569942
DIGITS in MAXIMUM(N) = 20569943
BITS in MAXIMUM(N) = 68331870
STEPS to MAXIMUM(N) = 86225217
BASIC EXPANSION(N) = 7.961874E+7591753
DIGITS in BASIC EXPANSION(N) = 7591754
BITS in BASIC EXPANSION(N) = 25219261
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 268545142 (46.3%)
EVEN(N) = 372463604 (64.2%)
ODD(N) = 207797342 (35.8%)
DELAY(N) = 580260946 (100.0%)
COMPLETENESS(N) = 0.557900
RESIDUE(N) = 1.133260E+0
GAMMA(N) = 12.463903
STRENGTH(N) = -78404102
LEVEL(N) = 9800513
The definitions for presented parameters are given at Eric Roosendaal’s site.
The next number that we test will be the provisional 48th Mersenne prime M57885151. As far as we know, the numbers of such magnitude have never been tested so far for Collatz conjecture confirmation.