Problems & Puzzles: Puzzles Puzzle 145. The ISPP & SSPP functions Hans Gunter from Koln (Germany), sent the following puzzle:
_____________ [1]C. Dumitrescu & V. Seleacu, "Some Notions And Questions In Nimber Theory", Sequences 37 $ 38, http://www.gallup.unm.edu/~smarandache/SNAQINT.txt [2]Tatiana Tabirca & Sabin Tabirca, "A New Equation For The Load Balance Scheduling Based on Smarandache fInferior Part Function", http://www.gallup.unm.edu/~smarandache/tabircasminfpart.pdf [The Smarandache fInferior Part Function is a greater generalization of ISPP.]
Solution Partial solutions came from Jean Marie Charrier (Lyon, France), Teresinha DaCosta (Bello Horizonte, Brasil) and Rene Blanch (France). Only Richard Kelley sent (in two tries) the complete solution. Paraphrasing the Kelly's lines:
Notice that if p1 & p2 are 2 & 3 then applies the rule a), that is to say there is not any x value solution of the discussed equation because there is not any value in open interval (2, 3). *** Jim Howell also found a complete and independent solution for this puzzle. *** 




