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What is the fundamental theorem of arithmetic and why is it called so "loudly"? How can it be proven and what interesting consequences are derived from it? How is it related to prime numbers and encryption methods? This is what Alexey Savvateev, a mathematician and mathematical economist, Doctor of Physical and Mathematical Sciences, Corresponding Member of the Russian Academy of Sciences, popularizer of mathematics among children and adults, scientific director of the Caucasian Mathematical Center of ASU, professor of the Moscow Institute of Physics and Technology, leading researcher of the Central Economics and Mathematics Institute of the Russian Academy of Sciences, talks about in a lecture on mathematics. Alexey Savvateev's channel "Matkult-privet!": / Matkultprivet Playlist "Alexey Savvateev": • Alexey Savvateev (Lectures) Playlist "Lectures on Mathematics": • Lectures on Mathematics #SciencePRO #Savvateev #AlexeySavvateev The video was created with the support of the Association of Volunteer Centers as part of the International Prize #WEARETOGETHER.