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О распределении простых чисел и простых чисел-близнецов в натуральном ряде до

О распределении простых чисел и простых чисел-близнецов в натуральном ряде до

Abstract

By using Eratosthenes's modified sieve the table is compiled of all prime numbers and pairs of twin primes with simultaneous calculation of their quantity and average frequencies in intervals of. The fragment of this table (the last 20 lines) is given in Table 1. Twin pairs are marked by hyphens. The full table is placed in 400 files of the PBLIZ folder. Brief historical information about tables of prime numbers is given and the last results related to a problem of twin primes are given.

С помощью модифицированного решета Эратосфена составлена таблица всех простых чисел и пар простых чисел-близнецов с одновременным подсчетом их количества и средних частот в промежутках. В таблице 1 приводится фрагмент этой таблицы (последние 20 строк). Пары близнецов отмечены черточками. Полная таблица размещена в 400 файлах папки PBLIZ. Даются краткие исторические справки о таблицах простых чисел и приводятся некоторые последние результаты по проблеме простых чисел-близнецов.

Keywords

ПРОСТОЕ ЧИСЛО, ПРОСТЫЕ ЧИСЛА-БЛИЗНЕЦЫ, РЕШЕТО ЭРАТОСФЕНА, АСИМПТОТИЧЕСКИЙ ЗАКОН РАСПРЕДЕЛЕНИЯ, ОБОБЩЕННЫЕ БЛИЗНЕЦЫ, КРИПТОСИСТЕМА

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze