منابع مشابه
The Power of Powerful Numbers
In this note we discuss recent progress concerning powerful numbers, raise new questions and show that solutions to existing open questions concerning powerful numbers would yield advancement of solutions to deep, long-standing problems such as Fermat's Last Theorem. This is primarily a survey article containing no new, unpublished results. A powerful number is a positive integer n which is div...
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اندیشمندان و صاحب نظران علوم اجتماعی بر این باورند که مرحله تازه ای در تاریخ جوامع بشری اغاز شده است. ویژگیهای این جامعه نو را می توان پدیده هایی از جمله اقتصاد اطلاعاتی جهانی ، هندسه متغیر شبکه ای، فرهنگ مجاز واقعی ، توسعه حیرت انگیز فناوری های دیجیتال، خدمات پیوسته و نیز فشردگی زمان و مکان برشمرد. از سوی دیگر قدرت به عنوان موضوع اصلی علم سیاست جایگاه مهمی در روابط انسانی دارد، قدرت و بازتولید...
15 صفحه اولA conjecture of Erdös on 3-powerful numbers
Erdös conjectured that the Diophantine equation x + y = z has infinitely many solutions in pairwise coprime 3-powerful integers, i.e., positive integers n for which p | n implies p3 | n. This was recently proved by Nitaj who, however, was unable to verify the further conjecture that this could be done infinitely often with integers x, y and z none of which is a perfect cube. This is now demonst...
متن کاملOn a Conjecture of Erdos on 3-powerful Numbers
A conjecture of P. Erdos says that the diophantine equation x+y = z has infinitely many solutions with (x,y) — 1 and such that if a prime p divides xyz, then p divides xyz. In this paper, we give a proof of this conjecture. Let k ^ 2 be an integer. A /c-powerful number is a positive integer x with the property that if the prime p divides x, then p divides x (2-powerful numbers were called initi...
متن کاملPowerful Concepts in Global Health; Comment on “Knowledge, Moral Claims and the Exercise of Power in Global Health”
In this paper we emphasize the importance of questioning the global validity of significant concepts underpinning global health policy. This implies questioning the concept of global health as such and accepting that there is no global definition of the global. Further, we draw attention to ‘quality’ and ‘empowerment’ as examples of world-forming concepts. These concepts are exemplary for the g...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1987
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171287000152