Оn March 22, 2017 our “3000 Collatz Tester” tested the 29th Mersenne prime M110503 for being in agreement with Collatz conjecture and supported it.

M110503 required 1482529 steps to get from 5.22*10^{33264} to 1. In the process the sequence took 221005 first steps to expand by 8.19*10^{19458} times.

Full statistics for М110503 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M110503 HAS THE FOLLOWING STATISTICS:

NUMBER(N) = 5.219283E+33264

DIGITS in NUMBER(N) = 33265

BITS in NUMBER(N) = 110503

MAXIMUM(N) = 4.276025E+52723

DIGITS in MAXIMUM(N) = 52724

BITS in MAXIMUM(N) = 175145

STEPS to MAXIMUM(N) = 221005

BASIC EXPANSION(N) = 8.192745E+19458

DIGITS in BASIC EXPANSION(N) = 19459

BITS in BASIC EXPANSION(N) = 64642

EXPANSION(N) = 0.000000E+0

DIGITS in EXPANSION(N) = 0

BITS in EXPANSION(N) = 0

GLIDE(N) = 688043 (46.0%)

EVEN(N) = 951757 (64.2%)

ODD(N) = 530772 (35.8%)

DELAY(N) = 1482529 (100.0%)

COMPLETENESS(N) = 0.557676

RESIDUE(N) = 1.217200

GAMMA(N) = 12.425863

STRENGTH(N) = -201411

LEVEL(N) = 25177

The definitions for presented parameters are given at Eric Roosendaal’s site.

The next number that we test will be the 30th Mersenne prime M132049.