You wrote :
"What is then important is the number 5, for pentagonal. It is for the fifth suit, the one that shows the way to God, an especially sacred number, of the Pope card and of the various sacred associations to the number that made it particularly holy. For example Augustine: the five wise virgins, who have abstained from unlawful use of the five senses (http://www.newadvent.org/fathers/160343.htm
); the "five books of Moses", the "five porches containing the sick folk", the "five loaves feeding the five thousand" (https://books.google.com/books?id=wIp0A
... ve&f=false), and the five stigmata of Christ, the same repeated for Francis of Asissi (https://en.wikipedia.org/wiki/Stigmata
But perhaps some author emphasized pentagonal numbers for some reason. If so, the relevant passage needs to be found."
1. About 22 :
In the scholastic thought of the Church, the number 22 makes sense.
(Cf: Steve Mangan on THF : viewtopic.php?f=11&t=1102&start=340#p17660
"In the order of the numbers, each individual number contains some strength and power over things. The Creator of the Universe has made use of this power and strength, either for the constitution of the universe itself or to express the nature of each thing as it appears. It follows, according to the Scriptures, that we must observe and calculate these aspects which belong to the numbers themselves. And in truth, the books of the Bible itself, such as the Jews have transmitted them, are [in number] twenty-two, equal to the number of Hebrew letters, and this is not without reason. Indeed, twenty-two letters [that] seem to be the introduction to God's wisdom and the knowledge of the world."
(Select in Ps I - PG 12, 1084)
(Cf : A. Quacquarelli, s.v. Numeri, in DPAC, pages 2447-2448)
The members of the Neoplatonic academy in Florence (1459-1521) could not ignore it or others ...
2. About 5 :
Boethius presents the sequence of Pentagonal Numbers as :
, 12. 22
See :« De institutione arithmetica » https://archive.org/details/aniciimanliitor01friegoog
Comments about incunable 1499 :
See Eclairs sur le Moyen Age
: http://www.apmep.fr/IMG/pdf/03_Eclairs_ ... -Age_I.pdf