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A noniterative 2-adic statement of the 3๐‘+1 conjecture

A noniterative 2-adic statement of the 3๐‘+1 conjecture

Associated with the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="3 upper N plus 1"> <mml:semantics> <mml:mrow> <mml:mn>3</mml:mn> <mml:mi>N</mml:mi> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">3N + 1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> problem is a permutation <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Phi"> <mml:semantics> <mml:mi mathvariant="normal">ฮฆ<!-- ฮฆ --></mml:mi> <mml:annotation encoding="application/x-tex">\Phi</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of the 2-adic โ€ฆ