# 25th Mersenne prime M21701 supports Collatz conjecture

On March 18, 2017 our “3000 Collatz Tester” tested the 25th Mersenne prime M21701 for being in agreement with Collatz conjecture and supported it.

M21701 required 293161 steps to get from 4.49*106533 to 1. In the process the sequence took 43401 first steps to expand by  4.54*103821 times.

Full statistics for М21701 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M21701 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 4.486792E+6532
DIGITS in NUMBER(N) = 6533
BITS in NUMBER(N) = 21701
MAXIMUM(N) = 2.038819E+10354
DIGITS in MAXIMUM(N) = 10355
BITS in MAXIMUM(N) = 34397
STEPS to MAXIMUM(N) = 43401
BASIC EXPANSION(N) = 4.544046E+3821
DIGITS in BASIC EXPANSION(N) = 3822
BITS in BASIC EXPANSION(N) = 12696
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 137024 (46.0%)
EVEN(N) = 188146 (64.2%)
ODD(N) = 105015 (35.8%)
DELAY(N) = 293161 (100.0%)
COMPLETENESS(N) = 0.558157
RESIDUE(N) = 1.119602
GAMMA(N) = 12.508055
STRENGTH(N) = -39363
LEVEL(N) = 4921

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

The next number that we test will be the 26th Mersenne prime M23209.