On March 17th, 2018 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 50th Mersenne prime M77232917 for being in agreement with Collatz conjecture and supported it.
M77232917 required 1039248803 steps to get from 4.67*1023249424 to 1. In the process the sequence took 154465833 first steps to expand by 7.87*1013600041 times.
Full statistics for M77232917 Collatz sequence is presented below.
TESTED COLLATZ SEQUENCE FOR M74207281 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 4.673332E+23249424
DIGITS in NUMBER(N) = 23249425
BITS in NUMBER(N) = 77232917
MAXIMUM(N) = 3.678998E+36849466
DIGITS in MAXIMUM(N) = 36849467
BITS in MAXIMUM(N) = 122411279
STEPS to MAXIMUM(N) = 154465833
BASIC EXPANSION(N) = 7.872323E+13600041
DIGITS in BASIC EXPANSION(N) = 13600042
BITS in BASIC EXPANSION(N) = 45178362
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 480965925 (46.3%)
EVEN(N) = 667090257 (64.2%)
ODD(N) = 372158546 (35.8%)
DELAY(N) = 1039248803 (100.0%)
COMPLETENESS(N) = 0.557883
RESIDUE(N) = 1.203380E+0
GAMMA(N) = 12.461109
STRENGTH(N) = -140478041
LEVEL(N) = 17559756
The definitions for presented parameters are given at Eric Roosendaal’s site.
As far as we know, the numbers of such magnitude have never been tested so far for Collatz conjecture confirmation. Since no other Mersenne primes are known at present, we announce that the current project is over. Any additional results or findings will be published in due course.