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*106002 to 1. In the process the sequence took 39873 first steps to expand by 1.08*103511 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.