• Corpus ID: 5080526

Are There Infinitely Many Primes

@article{Goldston2007AreTI,
  title={Are There Infinitely Many Primes},
  author={D. A. Goldston},
  journal={arXiv: Number Theory},
  year={2007}
}
  • D. Goldston
  • Published 10 October 2007
  • Mathematics
  • arXiv: Number Theory
This paper is based on a talk given to motivated high school (and younger) students at a BAMA (Bay Area Math Adventure) event. Some of the methods used to study primes and twin primes are introduced. 
View PDF on arXiv
4 Citations
Background Citations
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4 Citations

Elementary Primes Counting Methods
This work proposes elementary proofs of several related primes counting problems, based on an elementary weighted sieve. The subsets of primes considered here are the followings: the subset of twin…
Proof of the Twin Prime Conjecture
I can proof that there are infinitely many twin primes. The twin prime counting function π2(n), which gives the number of twin primes less than or equal to n for any natural number n, is for lim⁡n→∞…
Properties and applications of the prime detecting function: infinitude of twin primes, asymptotic law of distribution of prime pairs differing by an even number
The prime detecting function (PDF) approach can be effective instrument in the investigation of numbers. The PDF is constructed by recurrence sequence - each successive prime adds a sieving factor in…
The origin of the logarithmic integral in the prime number theorem
We establish why li(x) outperforms x/log x as an estimate for the prime counting function pi(x). The result follows from subdividing the natural numbers into the intervals s_k :={p_k^2,...,…

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