On July 29th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 44th Mersenne prime M32582657 for being in agreement with Collatz conjecture and supported it.
M32582657 required 438465334 steps to get from 1.25*109808357 to 1. In the process the sequence took 65165313 first steps to expand by 2.49*105737521 times.
Full statistics for M32582657 Collatz sequence is presented below.
TESTED COLLATZ SEQUENCE FOR M32582657 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 1.245750E+9808357
DIGITS in NUMBER(N) = 9808358
BITS in NUMBER(N) = 32582657
MAXIMUM(N) = 3.097208E+15545878
DIGITS in MAXIMUM(N) = 15545879
BITS in MAXIMUM(N) = 51642291
STEPS to MAXIMUM(N) = 65165313
BASIC EXPANSION(N) = 2.486219E+5737521
DIGITS in BASIC EXPANSION(N) = 5737522
BITS in BASIC EXPANSION(N) = 19059634
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 202956095 (46.3%)
EVEN(N) = 281448481 (64.2%)
ODD(N) = 157016853 (35.8%)
DELAY(N) = 438465334 (100.0%)
COMPLETENESS(N) = 0.557888
RESIDUE(N) = 1.009580E+0
GAMMA(N) = 12.461977
STRENGTH(N) = -59261178
LEVEL(N) = 7407648
The definitions for presented parameters are given at Eric Roosendaal’s site.
The next number that we test will be the 45th Mersenne prime M37156667.