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Consideration of Twin Prime Conjecture\\ Average Difference is 2.296

Toshiro Takami

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Abstract

I considered Prime Conjecture. The probability twin prime approximately is slightly lower than 4/3 times square probability that a prime will appear in. When number grows to limit, primes to be produced rarely, but since Primes are slightly lower than 4/3 times square distribution primes, frequency production Primes is very equal to 0. The places where prime numbers come out are filled with multiples primes one after another, and eventually disappear almost. Primes can only occur very rarely when numbers are huge. This is natural from following equation. \begin{equation} \pi(x)\sim\frac{x}{\log{x}} (x\to\infty) \end{equation} $[Probability of the Existence of primes]^2\times4/3\sim$ (Probability of the Existence of Twin Primes) When number becomes extreme, generation primes becomes extremely small. However, it is not 0. Very few, but primes are generated. If twin primes appears as two primes completely independently, Prime Problem is denied. However, if twin primes appear in combination and appear like primes, twin primes consist forever and Prime Problem is correct.

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I considered Prime Conjecture. The probability twin prime approximately is slightly lower than 4/3 times square probability that a prime will appear in. When number grows to limit, primes to be produced rarely, but since Primes are slightly lower than 4/3 times square distribution primes, frequency production Primes is very equal to 0. The places where prime numbers come out are filled with multiples primes one after another, and eventually disappear almost. Primes can only occur very rarely when numbers are huge. This is natural from following equation. \begin{equation} \pi(x)\sim\frac{x}{\log{x}} (x\to\infty) \end{equation} $[Probability of the Existence of primes]^2\times4/3\sim$ (Probability of the Existence of Twin Primes) When number becomes extreme, generation primes becomes extremely small. However, it is not 0. Very few, but primes are generated. If twin primes appears as two primes completely independently, Prime Problem is denied. However, if twin primes appear in combination and appear like primes, twin primes consist forever and Prime Problem is correct.

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Available abstract

I considered Prime Conjecture. The probability twin prime approximately is slightly lower than 4/3 times square probability that a prime will appear in. When number grows to limit, primes to be produced rarely, but since Primes are slightly lower than 4/3 times square distribution primes, frequency production Primes is very equal to 0. The places where prime numbers come out are filled with multiples primes one after another, and eventually disappear almost. Primes can only occur very rarely when numbers are huge. This is natural from following equation. \begin{equation} \pi(x)\sim\frac{x}{\log{x}} (x\to\infty) \end{equation} $[Probability of the Existence of primes]^2\times4/3\sim$ (Probability of the Existence of Twin Primes) When number becomes extreme, generation primes becomes extremely small. However, it is not 0. Very few, but primes are generated. If twin primes appears as two primes completely independently, Prime Problem is denied. However, if twin primes appear in combination and appear like primes, twin primes consist forever and Prime Problem is correct.

Key concepts: Twin prime, Mathematics, Prime (order theory), Conjecture, Combinatorics, Prime number theorem, Prime number, Number theory

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