jamgoodman

#!/usr/bin/env python3

# This code was adapted from dario2994/generate_hcn.py
# https://gist.github.com/dario2994/fb4713f252ca86c1254d?signup=true
# It outputs counterexamples to Matthew Daly's highly composite number...
# ... conjecture at Math Stack Exchange question 3529219 that are below MAXN

# This program prints all hcn (highly composite numbers) <= MAXN (=10**18)
#
# The value of MAXN can be changed arbitrarily. When MAXN = 10**100, the

jamgoodman

#Format:
# (Index of counterexample in sequence of highly composite numbers)
# (Number)
# (Prime decomposition, e.g., [2,1,4] would refer to 2^2 * 3^1 * 5^4 = 7500)
# ---

815
362279431624673937974303738230488502933082643722886373107941760000
[10, 6, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
---