Carmichael's Totient Function Conjecture

It is thought that the Totient Valence Function (i.e., the Totient Valence Function nevertakes the value 1). This assertion is called Carmichael's totient function conjecture and is equivalent to the statement thatthere exists an such that (Ribenboim 1996, pp. 39-40). Any counterexample to the conjecture musthave more than 10,000 Digits (Conway and Guy 1996). Recently, the conjecture was reportedly proven byF. Saidak in November, 1997 with a proof short enough to fit on a postcard.

References

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, p. 155, 1996.

Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, 1996.

• Skew Quadrilateral
• Skew Symmetric Matrix
• Sklar's Theorem
• Skolem-Mahler-Lerch Theorem
• Skolem Paradox
• Skolem Sequence
• Slant Height
• Slice Knot
• Slide Move
• Slide Rule
• Slightly Defective Number
• Slightly Excessive Number
• Slip Knot
• Slope
• Slothouber-Graatsma Puzzle
• Slutzky-Yule Effect
• Sluze Pearls
• Smale-Hirsch Theorem
• Smale Horseshoe Map
• Small Cubicuboctahedron
• Small Ditrigonal Dodecacronic Hexecontahedron
• Small Ditrigonal Dodecicosidodecahedron
• Small Ditrigonal Icosidodecahedron
• Small Dodecacronic Hexecontahedron
• Small Dodecahemicosacron