On July 21st, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 41st Mersenne prime M24036583 for being in agreement with Collatz conjecture and supported it.
M24036583 required 323346876 steps to get from 2.99*107235732 to 1. In the process the sequence took 48073165 first steps to expand by 2.92*104232632 times.
Full statistics for M24036583 Collatz sequence is presented below.
TESTED COLLATZ SEQUENCE FOR M24036583 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 2.994104E+7235732
DIGITS in NUMBER(N) = 7235733
BITS in NUMBER(N) = 24036583
MAXIMUM(N) = 8.732997E+11468364
DIGITS in MAXIMUM(N) = 11468366
BITS in MAXIMUM(N) = 38097084
STEPS to MAXIMUM(N) = 48073165
BASIC EXPANSION(N) = 2.916731E+4232632
DIGITS in BASIC EXPANSION(N) = 4232633
BITS in BASIC EXPANSION(N) = 14060501
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 149604591 (46.3%)
EVEN(N) = 207557849 (64.2%)
ODD(N) = 115789027 (35.8%)
DELAY(N) = 323346876 (100.0%)
COMPLETENESS(N) = 0.557864
RESIDUE(N) = 1.156700E+0
GAMMA(N) = 12.457789
STRENGTH(N) = -43728412
LEVEL(N) = 5466052
The definitions for presented parameters are given at Eric Roosendaal’s site.
The next number that we test will be the 42nd Mersenne prime M25964951.