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- W399806464 abstract "This paper reveals that the reference function G(2n)=2n/(ln(n))^2 plays a significant role in the distribution of the total number of pairs (p, q) of primes that fulfill the condition (p + q = 2n), which constitutes Goldbach’s conjecture. Numerical experiments up to 2n=500,000 show that, in the plot of the number of pairs versus 2n, the ratio of the lowest points over G(2n) tends asymptotically to the value 2/3. The latter fact dictates that the lower bound concerning the minimum number of pairs that fulfill Goldbach’s conjecture is equal to 4n/[3(ln(n))^2]. Moreover, smoothed sequences by treatment of the aforementioned pairs are revealed." @default.
- W399806464 created "2016-06-24" @default.
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- W399806464 date "2012-10-01" @default.
- W399806464 modified "2023-09-23" @default.
- W399806464 title "More Properties in Goldbach’s Conjecture" @default.
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