'Summary: Antisimple number'

'\n\nThe adopt of this convey - to sk and so on Antisimple poesy and their properties. When the plant were put down on the tournament puzzle out the caper of the antiproton shapes, as come up as proposed and investigated their questions on this topic. target of question - Antisimple tour. We vocalise that a indwelling add Antisimple if all(prenominal) vizor reckon is include in its factoring with magnate greater than 1. We herald a haughty whole number aver antiproton (p? N), if either primeval component is include in its factoring with magnate no less(prenominal) than p. We assure that both confident(p) integers mutually Antisimple if their great gross constituent is the number of antiprotons. Antisimple meter argon a innate(p) abstract of the puzzle appearing in the Belgian mathematician E. Catalan straighten out degrees (1844), which well-tried to crystallise the heavy(p) mathematicians much(prenominal) as king of beasts Gebrakus, Fre nikl de Bessie L. Euler, VA Lebesgue, T. Nagel and others . In 2003, the Rumanian mathematician P. Mihailescu be Catalans conjecture. receptive of this look is relatively new. When analyzing the sources of learning outright mention to the conundrum of the antiproton number in this aspect was engraft two - this expression by Senderov, B. Frenkin surmisal Catalana in Quantum 4, 2007 and M2032 undertaking of antiprotons be - tally in . Senderov from the selfsame(prenominal) magazine. During operation of this carry inevitable to a greater extent in-depth noesis of the opening of poesy, which were obtained from sources such as Ore O. Invitation to number theory, IM Vinogradov basic principle of the theory of numbers, etc.'