[seqfan] The "anti-Carmichael numbers" are A121707
Tomasz Ordowski
tomaszordowski at gmail.com
Mon Oct 1 17:01:45 CEST 2018
Dear SeqFans!
Andrzej Schinzel and Don Reble proved my conjectures, from which it follows
that A121707 are "anti-Carmichael numbers" n defined: p-1 does not divide
n-1 for every prime p dividing n.
See https://oeis.org/A121707 (maybe someone will prove the last conjecture)
and http://www.graysage.com/djr/A121707.pdf (proof of the previous
conjecture).
Problem: What is the natural density D of the set of these numbers?
My conjecture: D = 2 / Pi^2.
Best regards,
Thomas
More information about the SeqFan
mailing list