On July 25th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 42nd Mersenne prime M25964951 for being in agreement with Collatz conjecture and supported it.
M25964951 required 349304386 steps to get from 1.22*107816229 to 1. In the process the sequence took 51929901 first steps to expand by 1.64*104572201 times.
Full statistics for M25964951 Collatz sequence is presented below.
TESTED COLLATZ SEQUENCE FOR M25964951 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 1.221646E+7816229
DIGITS in NUMBER(N) = 7816230
BITS in NUMBER(N) = 25964951
MAXIMUM(N) = 1.999330E+12388430
DIGITS in MAXIMUM(N) = 12388431
BITS in MAXIMUM(N) = 41153475
STEPS to MAXIMUM(N) = 51929901
BASIC EXPANSION(N) = 1.636587E+4572201
DIGITS in BASIC EXPANSION(N) = 4572202
BITS in BASIC EXPANSION(N) = 15188524
EXPANSION(N) = 0.00
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 161764320 (46.3%)
EVEN(N) = 224219618 (64.2%)
ODD(N) = 125084768 (35.8%)
DELAY(N) = 349304386 (100.0%)
COMPLETENESS(N) = 0.557867
RESIDUE(N) = 1.238510E+0
GAMMA(N) = 12.458353
STRENGTH(N) = -47235014
LEVEL(N) = 5904377
The definitions for presented parameters are given at Eric Roosendaal’s site.
The next number that we test will be the 43rd Mersenne prime M30402457.