On July 31st, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 45th Mersenne prime M37156667 for being in agreement with Collatz conjecture and supported it.

M37156667 required 499902411 steps to get from 2.02*10^{11185271} to 1. In the process the sequence took 74313353 first steps to expand by 6.03*10^{6542964} times.

Full statistics for M37156667 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M37156667 HAS THE FOLLOWING STATISTICS:

NUMBER(N) = 2.022544E+11185271

DIGITS in NUMBER(N) = 11185272

BITS in NUMBER(N) = 37156667

MAXIMUM(N) = 1.218655E+17728236

DIGITS in MAXIMUM(N) = 17728237

BITS in MAXIMUM(N) = 58891926

STEPS to MAXIMUM(N) = 74313353

BASIC EXPANSION(N) = 6.025357E+6542964

DIGITS in BASIC EXPANSION(N) = 6542965

BITS in BASIC EXPANSION(N) = 21735259

EXPANSION(N) = 0.00

DIGITS in EXPANSION(N) = 0

BITS in EXPANSION(N) = 0

GLIDE(N) = 231321920 (46.3%)

EVEN(N) = 320887921 (64.2%)

ODD(N) = 179014490 (35.8%)

DELAY(N) = 499902411 (100.0%)

COMPLETENESS(N) = 0.557872

RESIDUE(N) = 1.201040E+0

GAMMA(N) = 12.459229

STRENGTH(N) = -67591313

LEVEL(N) = 8448915

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

The next number that we test will be the 46th Mersenne prime M42643801.