- If in Adam's case he barely gets another mention after Genesis, Satan does at least get a mention in a few different OT books, 1 Chron, Job and Zechariah. But the situation is complicated, like Adam's, by the fact his name is also a noun, "accuser."
- Satan's role in the gospels as Jesus' tempter is congruent with OT behaviour, but he seems to take on a less ambiguous role, no longer merely an accuser but God's enemy whose works are to be undone. In the NT Satan is presented more as being in diometric opposition to God, rather than just stirring up trouble for human beings as in the OT.
- Unlike Adam, the promotion of Satan (who is now also identified as or conflated with "the Devil", a Greek word - diabolos - to the Hebrew word satan) happens across a broader range of NT scripture, all the gospels, Paul, Hebrews, James, 1 Peter, 1 John, and especially Revelation all reflect his importance as God's enemy.
- Back to the problem of original sin, the association of the serpent with Satan which is so easily made by evangelical theologians is actually only made in Revelation, and it is hard to say whether the author was intending to be 'literal" (;-)) about the connection. In actual fact Genesis 3 is at pains to mention the serpent is a חַיַּת הַשָּׂדֶה "beast of the field" or "wild animal" (Gen 3:1) which surely precludes him from being the personification of an evil supernatural entity.
Let me know what you think, :-)