Zobrazeno 1 - 7
of 7
pro vyhledávání: '"LAZAREV ALEXEY ALEXANDROVICH"'
Publikováno v:
Austrian Journal of Technical and Natural Sciences.
The formulas for calculating of sums of the arbitrary powers of natural numbers with different intervals and the initial number are received. Results for powers from «1» to «4» and intervals from «3» to «4» are given. Applications of the resu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2806::952cd488a10d0965a096a8a3af180776
http://cyberleninka.ru/article/n/one-power-sums-of-natural-integers-at-arbitrary-intervals
http://cyberleninka.ru/article/n/one-power-sums-of-natural-integers-at-arbitrary-intervals
Publikováno v:
European science review.
Using Druzhinin’s sieve type of sieve of Eratosthenes for the twin pairs, we consider the question of the exact number of pairs of twin primes on an arbitrary segment.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2806::9905a4988cbf38b40d58089eae4bbab0
http://cyberleninka.ru/article/n/formula-for-exact-number-of-pairs-of-twins-of-primes-on-the-segment
http://cyberleninka.ru/article/n/formula-for-exact-number-of-pairs-of-twins-of-primes-on-the-segment
Publikováno v:
European science review.
On the basis of the generalized Fermat-Euler’s theorem it was found an algorithm for obtaining the numbers of Carmichael, and new options for comparison deduction to unity. It was proposed new necessary conditions for the existence of primes.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2806::cdc9d2755c912586b56d6a3e395048a2
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Publikováno v:
Austrian Journal of Technical and Natural Sciences.
It was carried out the generalization of the theorem of Euler, which includes the small Fermat’s theorem, for the case of different degrees of base, if it is mutually simple with arbitrary integer. The matrix is composed of deductions and specified
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2806::798583a71a26041200488a76d82d3109
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Publikováno v:
European science review.
We analytically obtained the formula for the number of primes in the given range in the concept of two buffer zones. It goes into the empirical formula of Legendre in the limit, i. e., for the first time we gave its rationale. We’ve done the calcul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2806::86abdb6929a35c86463381fab2ff99f0
http://cyberleninka.ru/article/n/the-formula-for-the-function-n-for-the-number-of-primes
http://cyberleninka.ru/article/n/the-formula-for-the-function-n-for-the-number-of-primes
Publikováno v:
Austrian Journal of Technical and Natural Sciences.
For generating pairs of primes with an arbitrary distance between them we created the sieve-type sieve of Eratosthenes.We identified buffer zones and showed an infinite amount such pairs on the real axis.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2806::31540213631032d8603ee491fc2f878a
http://cyberleninka.ru/article/n/the-theory-of-arbitrary-pairs-of-primes
http://cyberleninka.ru/article/n/the-theory-of-arbitrary-pairs-of-primes
Publikováno v:
Austrian Journal of Technical and Natural Sciences.
Wilson’s formula (for generating primes) becomes much simpler and competitive as compared with other methods, or even ahead of them, by using the determinant divisibility.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2806::94a336e85fef6281732b2e6f6b9c414d
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