On March 17, 2017 our “3000 Collatz Tester” tested the 24th Mersenne prime M19937 for being in agreement with Collatz conjecture and supported it.

M19937 required 265860 steps to get from 4.32*10^{6002} to 1. In the process the sequence took 39873 first steps to expand by 1.08*10^{3511} times.

Full statistics for М19937 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M19937 HAS THE FOLLOWING STATISTICS:

NUMBER(N) = 4.315425E+6001

DIGITS in NUMBER(N) = 6002

BITS in NUMBER(N) = 19937

MAXIMUM(N) = 4.650347E+9512

DIGITS in MAXIMUM(N) = 9513

BITS in MAXIMUM(N) = 31601

STEPS to MAXIMUM(N) = 39873

BASIC EXPANSION(N) = 1.077610E+3511

DIGITS in BASIC EXPANSION(N) = 3512

BITS in BASIC EXPANSION(N) = 11664

EXPANSION(N) = 0.000000E+0

DIGITS in EXPANSION(N) = 0

BITS in EXPANSION(N) = 0

GLIDE(N) = 122716 (46.0%)

EVEN(N) = 170724 (64.2%)

ODD(N) = 95136 (35.8%)

DELAY(N) = 265860 (100.0%)

COMPLETENESS(N) = 0.557250

RESIDUE(N) = 1.005234

GAMMA(N) = 12.354049

STRENGTH(N) = -36492

LEVEL(N) = 4562

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

The next number that we test will be the 25th Mersenne prime M21701.