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*1011185271 to 1. In the process the sequence took 74313353 first steps to expand by 6.03*106542964 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.