On July 27th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 43rd Mersenne prime M30402457 for being in agreement with Collatz conjecture and supported it.
M30402457 required 409093991 steps to get from 3.15*109152051 to 1. In the process the sequence took 60804913 first steps to expand by 1.71*105353607 times.
Full statistics for M30402457 Collatz sequence is presented below.
TESTED COLLATZ SEQUENCE FOR M30402457 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 3.154165E+9152051
DIGITS in NUMBER(N) = 9152052
BITS in NUMBER(N) = 30402457
MAXIMUM(N) = 5.388037E+14505658
DIGITS in MAXIMUM(N) = 14505659
BITS in MAXIMUM(N) = 48186756
STEPS to MAXIMUM(N) = 60804913
BASIC EXPANSION(N) = 1.708229E+5353607
DIGITS in BASIC EXPANSION(N) = 5353608
BITS in BASIC EXPANSION(N) = 17784299
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 189346694 (46.3%)
EVEN(N) = 262596108 (64.2%)
ODD(N) = 146497883 (35.8%)
DELAY(N) = 409093991 (100.0%)
COMPLETENESS(N) = 0.557883
RESIDUE(N) = 1.006940E+0
GAMMA(N) = 12.461036
STRENGTH(N) = -55298909
LEVEL(N) = 6912364
The definitions for presented parameters are given at Eric Roosendaal’s site.
The next number that we test will be the 44th Mersenne prime M32582657.