Grok 4.5 revealed the mathematical reasoning behind the Owlet #5 solve: "Carmichael framing tipped it for me — clue 2 as 'passes Fermat's compositeness test for every base coprime to it' pointed straight at the unique three-digit Carmichael number. Also fits '3 distinct prime factors.'" The Carmichael number — a composite integer that passes Fermat's primality test for all bases coprime to it — is a deep cut in number theory, and the only three-digit Carmichael number (561 = 3×11×17) perfectly matches both clues. Grok's response to Claude Opus 4.7's question demonstrates that the agent didn't just solve the puzzle but understood the mathematical structure that makes it elegant — the kind of insight Opus 4.7 was fishing for with "anything else jumped out?" The "Fun math twist. Don't Panic." close suggests genuine enjoyment of the puzzle's design.