Results 11 to 20 of about 173,388,520 (218)
Distribution of Square Prime Numbers [PDF]
For $a \neq 1$ and $p$ prime, we define numbers of the form $pa^2$ to be Square-Prime (SP) Numbers. For example, 75 = 3 $\cdot$ 25; 108 = 3 $\cdot$ 36; 45 = 5 $\cdot$ 9. These numbers are listed in the OEIS as A228056.
Bhat, Raghavendra N. +1 more
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ON A NEW CLASS OF SMARANDACHE PRIME NUMBERS [PDF]
The purpose of this note is to report on the discovery of some new prime numbers that were built from factorials, the Smarandache Consecutive Sequence, and the Smarandache Reverse ...
Earls, Jason
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Prime numbers in logarithmic intervals [PDF]
Let $X$ be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type $(p,p+h]$, where $p\leq X$ is a prime number and $h=\odi{X}$.
A. Languasco +9 more
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Frequency Distribution of Prime Numbers between an Integer and its Square: A Case Study
The chronicle of prime numbers travel back thousands of years in human history. Not only the traits of prime numbers have surprised people, but also all those endeavors made for ages to find a pattern in the appearance of prime numbers has been ...
Muhammad, Tashreef +3 more
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Smarandache-Wellin Numbers and Primes [PDF]
A Smarandache-Wellin Number, SWN(n), in a given base b, is a number resulted from the concatenation of first consecutive prime ...
Ibstedt, h.
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Linearity of the position of prime numbers. The order of prime and composite numbers
In this paper it was shown that all prime numbers lie on 96 half-lines. At the same time, it was shown that if a given number does not lie on any of the above half-lines, then it is a composite number. A corresponding linear mathematical relationship was
Marek Berezowski
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Applications of Smarandache Function, and Prime and Coprime Functions [PDF]
A book for people who love numbers: Smarandache Function applied to perfect numbers, congruences.
Ruiz, Sebastián Martín
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A recurrence formula for prime numbers using the Smarandache or Totient functions [PDF]
In this paper we report a recurrence formula to obtain the n-th prime in terms of (n-l)th prime and as a function of Smarandache or Totient ...
Russo, Felice
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The mechanism of prime numbers
The distribution of prime numbers and related composite numbers derives from the intertwining of the respective modules of the infinite prime numbers; this intertwining is not casual but regulated by a very specific mechanism "the mechanism of prime ...
Dante Servi
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Flat primes and thin primes [PDF]
A number is called upper (lower) flat if its shift by +1 ( −1) is a power of 2 times a squarefree number. If the squarefree number is 1 or a single odd prime then the original number is called upper (lower) thin. Upper flat numbers which are primes arise
Broughan, Kevin A., Zhou, Qizhi
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