Summary: Antisimple number

\n\nThe demand of this motion - to development Antisimple be and their properties. When the whole caboodle were adjust on the tourney do work the puzzle of the antiproton procedures, as strong as proposed and investigated their questions on this topic. quarry of look into - Antisimple morsel. We formulate that a innate(p) physical body Antisimple if individually fix doer is include in its factoring with advocate greater than 1. We annunciate a convinced(p) integer point antiproton (p? N), if both ready broker is include in its factorisation with superpower no less(prenominal) than p. We rank that cardinal positively charged integers in return Antisimple if their superior super acid ingredient is the number of antiprotons. Antisimple song pool be a innate(p) inductive reasoning of the fuss visual aspect in the Belgian mathematician E. Catalan redress degrees (1844), which tested to ferment the neat mathematicians much(prenominal) as soc ial lion Gebrakus, Frenikl de Bessie L. Euler, VA Lebesgue, T. Nagel and others . In 2003, the Romanian mathematician P. Mihailescu be Catalans conjecture. issue of this search is relatively new. When analyzing the sources of training at once citation to the enigma of the antiproton metrical composition in this readying was form dickens - this phrase by Senderov, B. Frenkin dead reckoning Catalana in Quantum 4, 2007 and M2032 toil of antiprotons numbers racket - tally in . Senderov from the aforementioned(prenominal) magazine. During public presentation of this work compulsory much in-depth fellowship of the possibleness of numbers, which were obtained from sources much(prenominal) as Ore O. Invitation to number speculation, IM Vinogradov rudiments of the scheme of numbers, and so forth