TMVP, try checking in one of the online Bibles, for "Adam". You will find almost all of the 27 occurrences refer to the person of what we are told is the first man (Eve's hubby) although Gen 5:2 says:
2 Male and female created he them; and blessed them, and called their name Adam, in the day when they were created.[emphasis added]
A further reference is to a city (in the book of Joshua, when crossing the Jordan).
And then there is this ONE reference, in 1 Cor 15:
45 And so it is written, The first man Adam was made a living soul; the last Adam was made a quickening [live-giving] spirit.
Not "the second Adam" but "the last Adam." Second Adam implies there might be another after him, the third Adam. There are NO MORE "Adams" to be referenced.
From Blue Letter Bible (online resource):
"Quickening" - Strongs G2227: Strong's Number G2227 matches the Greek ζῳοποιέω (zōopoieō),
Outline of Biblical Usage:
to produce alive, begat or bear living young
to cause to live, make alive, give life
by spiritual power to arouse and invigorate
to restore to life
to give increase of life: thus of physical life
of the spirit, quickening as respects the spirit, endued with new and greater powers of life
[*]metaph., of seeds quickened into life, i.e. germinating, springing up, growing
The first Adam was a "living soul" - the last Adam is "a life-giving spirit." Does that make any difference to your theology, TMVP?