Results 21 to 30 of about 216,097 (247)
On the Diophantine equation x3=dy2±q6
Let q>3 denote an odd prime and d a positive integer without any prime factor p≡1(mod3). In this paper, we have proved that if (x,q)=1, then x3=dy2±q6 has exactly two solutions provided q≢±1(mod24).
Fadwa S. Abu Muriefah
doaj +1 more source
Recent studies have shown that subliminal priming effects can be of a semantic nature. However, the question remains how strong this kind of priming will prove to be.
Eva Van den Bussche +3 more
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Factoring with Two Large Primes [PDF]
Summary: We describe a modification to the well-known large prime variant of the multiple polynomial quadratic sieve factoring algorithm [Eurocrypt '90, Lect. Notes Comput. Sci. 473, 72--82 (1991; Zbl 0779.11061)]. In practice this leads to a speed-up factor of 2 to 2.5.
Lenstra, A. K., Manasse, M. S.
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Prime Factorization And Domination In The Hierarchical Product Of Graphs
In 2009, Barrière, Dalfó, Fiol, and Mitjana introduced the generalized hierarchical product of graphs. This operation is a generalization of the Cartesian product of graphs.
Anderson S.E. +3 more
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Carmichael Numbers with a Prime Number of Prime Factors
Under the assumption of Heath-Brown's conjecture on the first prime in an arithmetic progression, we prove that there are infinitely many Carmichael numbers $n$ such that the number of prime factors of $n$ is prime.
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Toward the Unification of Physics and Number Theory [PDF]
This paper introduces the notion of simplex-integers and shows how, in contrast to digital numbers, they are the most powerful numerical symbols that implicitly express the information of an integer and its set theoretic substructure.
Klee Irwin
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Translation planes of even order in which the dimension has only one odd factor
Let G be an irreducible subgroup of the linear translation complement of a finite translation plane of order qd where q is a power of 2. GF(q) is in the kernel and d=2sr where r is an odd prime. A prime factor of |G| must divide (qd+1)∏i=1d(qi−1).
T. G. Ostrom
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ABSTRACT Introduction Adult‐onset Still's disease (AOSD) complicated by macrophage activation syndrome (MAS) carries substantial mortality. The role of therapeutic plasma exchange (TPE) remains uncertain. Methods We retrospectively analyzed patients with AOSD‐MAS treated with TPE at a single‐center.
Masataka Ueda +15 more
wiley +1 more source
Tcf15 Primes Pluripotent Cells for Differentiation
The events that prime pluripotent cells for differentiation are not well understood. Inhibitor of DNA binding/differentiation (Id) proteins, which are inhibitors of basic helix-loop-helix (bHLH) transcription factor activity, contribute to pluripotency ...
Owen R. Davies +8 more
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Primes Appearing in Prime Tower Factorization
Second draft, 7 pages (9 with appendix), 1 ...
Devlin, Patrick, Gnang, Edinah
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