On July 19th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 39th Mersenne prime M13466917 for being in agreement with Collatz conjecture and supported it.

M13466917 required 181209792 steps to get from 9.25*10^{4053945} to 1. In the process the sequence took 26933833 first steps to expand by 4.69*10^{2371406} times.

Full statistics for M13466917 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M13466917 HAS THE FOLLOWING STATISTICS:

NUMBER(N) = 9.249477E+4053945

DIGITS in NUMBER(N) = 4053946

BITS in NUMBER(N) = 13466917

MAXIMUM(N) = 4.337860E+6425352

DIGITS in MAXIMUM(N) = 6425353

BITS in MAXIMUM(N) = 21344560

STEPS to MAXIMUM(N) = 26933833

BASIC EXPANSION(N) = 4.689844E+2371406

DIGITS in BASIC EXPANSION(N) = 2371407

BITS in BASIC EXPANSION(N) = 7877643

EXPANSION(N) = 0.00

DIGITS in EXPANSION(N) = 0

BITS in EXPANSION(N) = 0

GLIDE(N) = 83896060 (46.3%)

EVEN(N) = 116317990 (64.2%)

ODD(N) = 64891802 (35.8%)

DELAY(N) = 181209792 (100.0%)

COMPLETENESS(N) = 0.557883

RESIDUE(N) = 1.169410E+0

GAMMA(N) = 12.461010

STRENGTH(N) = -24494960

LEVEL(N) = 3061871

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

The next number that we test will be the 40th Mersenne prime M20996011.