During March 18 – April 1, 2017 our “3000 Collatz Tester” tested the 34th Mersenne prime M1257787 for being in agreement with Collatz conjecture and supported it.

M1257787 required 16927967 steps to get from 4.12*10³⁷⁸⁶³¹ to 1. In the process the sequence took 2515596 first steps to expand by 4.76*10²²¹⁴⁸⁵ times.

Full statistics for M1257787 Collatz sequence is presented below.

TESTED COLLATZ SEQUENCE FOR M1257787 HAS THE FOLLOWING STATISTICS:
NUMBER(N) = 4.122458E+378631
DIGITS in NUMBER(N) = 378632
BITS in NUMBER(N) = 1257787
MAXIMUM(N) = 1.960250E+600117
DIGITS in MAXIMUM(N) = 600118
BITS in MAXIMUM(N) = 1993547
STEPS to MAXIMUM(N) = 2515596
BASIC EXPANSION(N) = 4.755051E+221485
DIGITS in BASIC EXPANSION(N) = 221486
BITS in BASIC EXPANSION(N) = 735760
EXPANSION(N) = 0.000000E+0
DIGITS in EXPANSION(N) = 0
BITS in EXPANSION(N) = 0
GLIDE(N) = 7833939 (46.0%)
EVEN(N) = 10865914 (64.2%)
ODD(N) = 6062053 (35.8%)
DELAY(N) = 16927967 (100.0%)
COMPLETENESS(N) = 0.557896
RESIDUE(N) = 1.246269
GAMMA(N) = 12.463319
STRENGTH(N) = -2287477
LEVEL(N) = 285935

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

The next number that we test will be the 35th Mersenne prime M1398269.