# 29th Mersenne prime M110503 supports Collatz conjecture

Оn March 22, 2017 our “3000 Collatz Tester” tested the 29th Mersenne prime M110503 for being in agreement with Collatz conjecture and supported it.

M110503 required 1482529 steps to get from 5.22*1033264 to 1. In the process the sequence took 221005 first steps to expand by 8.19*1019458 times.

Full statistics for М110503 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M110503 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 5.219283E+33264
DIGITS in NUMBER(N) = 33265
BITS in NUMBER(N) = 110503
MAXIMUM(N) = 4.276025E+52723
DIGITS in MAXIMUM(N) = 52724
BITS in MAXIMUM(N) = 175145
STEPS to MAXIMUM(N) = 221005
BASIC EXPANSION(N) = 8.192745E+19458
DIGITS in BASIC EXPANSION(N) = 19459
BITS in BASIC EXPANSION(N) = 64642
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 688043 (46.0%)
EVEN(N) = 951757 (64.2%)
ODD(N) = 530772 (35.8%)
DELAY(N) = 1482529 (100.0%)
COMPLETENESS(N) = 0.557676
RESIDUE(N) = 1.217200
GAMMA(N) = 12.425863
STRENGTH(N) = -201411
LEVEL(N) = 25177

The definitions for presented parameters are given at Eric Roosendaal’s site.

The next number that we test will be the 30th Mersenne prime M132049.