Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Prime triplet"'
Publikováno v:
Springer Optimization and Its Applications ISBN: 9783030558567
A Prime Difference Champion (PDC) for primes up to x is defined to be any element of the set of one or more differences that occur most frequently among all positive differences between primes ≤ x. Assuming an appropriate form of the Hardy–Little
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::643f47cb5cc593b93ecdcef82137303b
https://doi.org/10.1007/978-3-030-55857-4_9
https://doi.org/10.1007/978-3-030-55857-4_9
Publikováno v:
International Journal of Number Theory. 14:669-692
New families of even non-congruent numbers with arbitrarily many distinct prime factors are presented. Methods for generating even non-congruent numbers from existing non-congruent numbers are also given. These results yield new even non-congruent nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4cc96e69946b1ca453e2a2669d9c6dea
https://doi.org/10.1142/s1793042118500422
https://doi.org/10.1142/s1793042118500422
Autor:
Renato Betti
Publikováno v:
Lettera Matematica. 5:297-303
The paper begins with a reference to Riemann’s hypothesis on the sequence of prime numbers, still unproven today, and goes on to illustrate the twin prime conjecture and the more general Polignac’s conjecture; we then recount the recent result by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50ed92a37cedea6dbd2bb985242c67ba
https://doi.org/10.1007/s40329-017-0205-1
https://doi.org/10.1007/s40329-017-0205-1
Autor:
Guangshi Lü
Publikováno v:
Monatshefte für Mathematik. 187:113-123
In this paper, it is proved by a different method that every sufficiently large odd integer can be written as a sum of one prime, two squares of primes and 17 powers of 2, which improves the previous result $$k=31$$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b01e570e683baab35bcc86f60e76c7e
https://doi.org/10.1007/s00605-017-1104-4
https://doi.org/10.1007/s00605-017-1104-4
Autor:
Zhixin Liu
Publikováno v:
Journal of Number Theory. 176:439-448
In this short paper, it is proved that every sufficiently large even integer is a sum of two squares of primes, two cubes of primes, two fourth powers of primes and 41 powers of 2. Furthermore, there are at least 3.682% odd integers that can be repre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a0852f47a3a76f19a304546806cb202
https://doi.org/10.1016/j.jnt.2016.12.009
https://doi.org/10.1016/j.jnt.2016.12.009
Autor:
György Birkás, József Bölcsföldi
Publikováno v:
IOSR Journal of Mathematics. 13:38-41
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68e0f48e9a5960c67347a55c5fa9b53a
https://doi.org/10.9790/5728-1302043841
https://doi.org/10.9790/5728-1302043841
Autor:
Yingchun Cai
Publikováno v:
Acta Arithmetica. 179:233-250
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db32ea8f686d3b59f85b01bba955aa6a
https://doi.org/10.4064/aa8150-1-2017
https://doi.org/10.4064/aa8150-1-2017
Autor:
Reza Farhadian, Rafael Jakimczuk
Publikováno v:
International Mathematical Forum. 12:559-564
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f8f848f953655d2070831c0de6686e9
https://doi.org/10.12988/imf.2017.7335
https://doi.org/10.12988/imf.2017.7335
Autor:
Peter Bissonnet
Publikováno v:
Journal of Applied Mathematics and Physics. :1825-1836
This paper again specifies the major points of the article “Do Prime Numbers Obey a Three-Dimensional Double Helix?” [1] which was received on February 16, 2006 by Hadronic Journal. New information has been added and elucidated upon, such as why
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06cb0091180d288f109c2489e6d0953f
https://doi.org/10.4236/jamp.2017.59154
https://doi.org/10.4236/jamp.2017.59154
Autor:
Nathan McNew
Publikováno v:
Experimental Mathematics. 26:210-224
We consider the distribution of the largest prime divisor of the integers in the interval [2, x] and investigate in particular the mode of this distribution, the prime number(s) which show up most often in this list. In addition to giving an asymptot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8d3ce7bec662aa02c0ed4d077b5103e
https://doi.org/10.1080/10586458.2016.1155188
https://doi.org/10.1080/10586458.2016.1155188