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• About some regularities in a structure of subsets of prime numbers

  It is shown that the first four primes 2, 3, 5, 7 generate finite subsets of primes, assuming the principle of interchangeability. In is established that any prime p(11 p 41, p  19), added together with two preceding primes generates a prime and that any prime p (5 p 31, p  13),...

• About one way of determination of prime numbers

  The method of finding prime numbers without computer calculation is shown. Subsets P1 = {6k1 – 1}, P2 = {6k2 + 1}, Q1 = {6j1 – 1}, Q2 = {6j2 + 1} are considered, where P1 È P2 are all prime numbers p ≥ 5; Qi are all odd composite numbers of such form. Subsets Ai = {ki}, Bi ...

• Subsets of prime numbers in the generalized arithmetical progressions

  ... progression of the power k  and difference d is given. For k  1,7 formulas of nth member of such progressions and for k  1, 2, 3 formulas for the sum of the first n its members are obtained. Progressions ( ) , k p d M with the first member prime number p and difference being a positive even number d  2m (m  ) are considered. Such progressions define subsets ( ) , , k h p d M of h prime numbers (h  ). For k  20, p  95467, d  108 all subsets (1) h,p,d M with h  15 prime numbers ...

• How to extract formulas from Pascal's triangle to find all primes

  ... confirmed and the main results of finding its numerical discriminant are given. Exactly, the numerical properties of the truncated Pascal triangle for the direct finding of all primes are found. Sherban V. L. Pascal triangle, Fibonacci numbers, prime numbers, recurrent se­quences 23-39

• Overview of effective point counting algorithms for Jacobian of hyperelliptic curve over finite field

  ... Colm O hEigeartaigh . A comparison of point counting methods for hyperelliptic curves over prime fields and fields of characteristic 2 // Cryptology ePrint Archive. 2004. 2. Haneda M., Kawazoe M., Takahashi T. Suitable curves for genus-4 HCC over prime fields: point counting formulae for hyperelliptic curves of type.....    // Ibid. 3. Furukawa E., Kawazoe M., Takahashi T. Counting points for hyperelliptic curves of type..... // Ibid. 2002. 4. Haloui S. The minimum and maximum number of rational points on jacobian surfaces over finite fields. URL: http://arxiv. org/abs/1002.3683.2010. 5. Ravnshoj C. R. Generators of Jacobians of genus two curves // Cryptology ePrint Archive. 2008. 6. Ravnshoj C. R. Non-cyclic subgroups ...

• Unusual properties of some sets of square trinomials

  ... многообр. фигур. Калининград, 2016. Вып. 47. С. 89—97. 2. Малаховский В. С. Числа знакомые и незнакомые. Калининград, 2004. Malakhovsky V. S. quadratic trinomial, set, totality, prime number 25-29

• Nuclear power in the Baltic Sea region: the history of emergence and the political and economic features of its development

  ... power is a rather young branch of national economy. However, over recent decades, it has already seen rises and falls, and a number of states have had tragic experiences of nuclear emergencies. Nevertheless, many countries — including the three Baltic ... ... 6. Vsled za Latviej, prem'er Litvy otpravljaetsja v Jestoniju rasskazat' o Visaginskoj AJeS [Followed by Latvia, Lithuanian Prime Minister sent to Estonia to talk about the Visaginas nuclear power plant], 2013, News Agency REGNUM, 23 January, available ...

• About one algorithm of calculation of inverses in finite fields

  In work are two algorithms of calculation of inverses in a finite field qn F developed, where q is power of the prime number. They are received by generalisation of algorithm of Wong for a field F2n with use of the main idea for fast algorithm of calculation of inverses in the field 2 F n . 1. Handbook of elliptic and hyperelliptic curve cryptography / Scientific ...

• An efficient implementation of an exponential point-counting algorithm on Jacobians of genus 2 hyperelliptic curves

  ... pre­sent an overview of approaches to accelerate Gaudry-Schost point counting algorithm that is the fastest known algorithm for computing the order of Jaco­bians of hyperelliptic curves of genus 2. This algorithm consists of two stages: 1) computing the number of points (equivalently, the characteristic polynomi­al of the curve) modulo some small primes and combining the result into a large module using CRT (polynomial-time part); 2) restoring the number of points utilizing modular data using algorithms based on birthday paradox (exponential-time part). Theoretically, the algorithm terminates ...

• Acceleration of Computations in Jacobian Hyperelliptic Curve

  ... Cryptography and Information Security. 2000. Р. 26—28. 2. Joux A. A One-Round Protocol for Tripartite Diffe-Hellman // Algorithmic Number Theory Symposium. Springer-Verlag, 2000. Р. 385—394. 3. Lange T. Formulae for Arithmetic on Genus 2 Hyperelliptic Curves ... ... Advances in Cryptology. 2000. Р. 19—34. 8. Fan X., Gong G. Efficient Explicit Formulae for Genus 2 Hyperelliptic Curves over Prime Fields and Their Implementations. LNCS 4876. Springer, 2007. Р. 155—172. 9. Koblitz N., Menezes A. Pairing-based Cryptography ...

• On Russian/Nordic Investment Competition in the Baltic States

  ... market is controlled by the Nordic capital, which blocks the arrival of Russian investment to the Baltic States. With a nod to a number of previous studies, the authors of this article suggest some adjustments to the theory of foreign direct investment. The ... ... Ambassador: Russian obstructed for Swedish companies], 2015, Agentstvo jekonomicheskoj informacii PRAJM [Business News Agency PRIME], available at: http://www.1prime.ru/state_regulation/20150306/804132680.html (accessed 07.03.2015). Olenchenko V. Russian ...

• Norway’s International Development Assistance Policy in the Current International Environment: Mechanisms of Justification

  ... rticle analyses Norway’s official position on humanitarian assistance in crises and armed conflicts. The author examines a number of cases of Norway’s International Development Assistance policy. 1. Bartenev, V. 2015, Svjazka "bezopasnost' ... ... Development Aid for the Reshaping World Order. In: Liberal Order in a Post-Western World, The Transatlantic Academy, May. 23. The Prime Minister´s Opening Speech at the Oslo Summit of Education for Development, 2016, Regjeringen, available at: https://www....

• The Coastal Regions of Europe: Economic Development at the Turn of the 20th Century

  ... most interesting objects for research in this field. Russian geographical proximity to the European countries, a significant number of shared problems, and a considerable potential for cooperation in solving them and developing the world ocean’s resources ... ... maritime activities of the Russian Federation until 2030"], 2010, GARANT, available at: http://www.garant.ru/products/ipo/prime/doc/2073572/ (accessed 12.03.2013). 26. Postanovlenie Pravitel'stva RF ot 10 avgusta 1998 g. № 919 «O federal'noj celevoj ...