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Twin Prime Conjecture(newer Version)

Toshiro Takami

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Abstract

I proved Prime Conjecture. The probability twin prime approximately is slightly lower than 4/3 times square probability that a prime will appear in. I investigated up to 5$\times10^{12}$. 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 However, it is not 0. Because, primes continue to be Therefore, Primes continue to be produced. If Primes is finite, primes is finite. This is because slightly lower than 4/3 times square probability primes is probability Primes. This is contradiction. Because there are an infinite primes. $[Probability of the Existence of primes]^2\times4/3$= (Probability of the Existence of Twin Primes) When number becomes extreme, generation prime numbers becomes extremely small. However, it is not Very few, but prime numbers are generated. Therefore, even if number reaches limit, twin prime numbers are also generated. That is, Primes exist forever.

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What this paper is about

I proved Prime Conjecture. The probability twin prime approximately is slightly lower than 4/3 times square probability that a prime will appear in. I investigated up to 5$\times10^{12}$. 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 However, it is not 0. Because, primes continue to be Therefore, Primes continue to be produced. If Primes is finite, primes is finite. This is because slightly lower than 4/3 times square probability primes is probability Primes. This is contradiction. Because there are an infinite primes. $[Probability of the Existence of primes]^2\times4/3$= (Probability of the Existence of Twin Primes) When number becomes extreme, generation prime numbers becomes extremely small. However, it is not Very few, but prime numbers are generated. Therefore, even if number reaches limit, twin prime numbers are also generated. That is, Primes exist forever.

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Available abstract

I proved Prime Conjecture. The probability twin prime approximately is slightly lower than 4/3 times square probability that a prime will appear in. I investigated up to 5$\times10^{12}$. 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 However, it is not 0. Because, primes continue to be Therefore, Primes continue to be produced. If Primes is finite, primes is finite. This is because slightly lower than 4/3 times square probability primes is probability Primes. This is contradiction. Because there are an infinite primes. $[Probability of the Existence of primes]^2\times4/3$= (Probability of the Existence of Twin Primes) When number becomes extreme, generation prime numbers becomes extremely small. However, it is not Very few, but prime numbers are generated. Therefore, even if number reaches limit, twin prime numbers are also generated. That is, Primes exist forever.

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

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