On July 18th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 38th Mersenne prime M6972593 for being in agreement with Collatz conjecture and supported it.

M6972593 required 93778449 steps to get from 4.37*10^{2098959} to 1. In the process the sequence took 13945185 first steps to expand by 9.58*10^{1227812} times.

Full statistics for M6972593 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M6972593 HAS THE FOLLOWING STATISTICS:

NUMBER(N) = 4.370757E+2098959

DIGITS in NUMBER(N) = 2098960

BITS in NUMBER(N) = 6972593

MAXIMUM(N) = 4.186389E+3326772

DIGITS in MAXIMUM(N) = 3326773

BITS in MAXIMUM(N) = 11051300

STEPS to MAXIMUM(N) = 13945185

BASIC EXPANSION(N) = 9.578176E+1227812

DIGITS in BASIC EXPANSION(N) = 1227813

BITS in BASIC EXPANSION(N) = 4078707

EXPANSION(N) = 0.00

DIGITS in EXPANSION(N) = 0

BITS in EXPANSION(N) = 0

GLIDE(N) = 43405398 (46.3%)

EVEN(N) = 60197360 (64.2%)

ODD(N) = 33581089 (35.8%)

DELAY(N) = 93778449 (100.0%)

COMPLETENESS(N) = 0.557850

RESIDUE(N) = 1.149990E+0

GAMMA(N) = 12.455400

STRENGTH(N) = -12686635

LEVEL(N) = 1585830

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

The next number that we test will be the 39th Mersenne prime M13466917.