On March 16, 2017 our “3000 Collatz Tester” tested the 23rd Mersenne prime M11213 for being in agreement with Collatz conjecture and supported it.

M11213 required 153505 steps to get from 2.81*10³³⁷⁵ to 1. In the process the sequence took 22476 first steps to expand by  6.32*10¹⁹⁷⁵ times.

Full statistics for М11213 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 2.814112E+3375
DIGITS in NUMBER(N) = 3376
BITS in NUMBER(N) = 11213
MAXIMUM(N) = 1.779531E+5351
DIGITS in MAXIMUM(N) = 5352
BITS in MAXIMUM(N) = 17777
STEPS to MAXIMUM(N) = 22476
BASIC EXPANSION(N) = 6.323598E+1975
DIGITS in BASIC EXPANSION(N) = 1976
BITS in BASIC EXPANSION(N) = 6564
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 71800 (46.0%)
EVEN(N) = 98459 (64.1%)
ODD(N) = 55046 (35.9%)
DELAY(N) = 153505 (100.0%)
COMPLETENESS(N) = 0.559075
RESIDUE(N) = 1.112793
GAMMA(N) = 12.668002
STRENGTH(N) = -20147
LEVEL(N) = 2519

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

The next number that we test will be the 24th Mersenne prime M19937.