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Proof of Goldbach's Conjecture and Twin Prime Conjecture

Jaejin Lim

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Abstract

In this paper, we prove Twin prime conjecture and Goldbach’s conjecture. We do this in three stages by turns; one is ‘Application Principle of Mathematical Induction’, another is ‘Proof of Twin prime conjecture’ and the other is ‘Proof of Goldbach’s conjecture’. These three proofs are interconnected, so they help prove it. Proofs of Twin prime conjecture and Goldbach’s conjecture are proved by Application Principle of Mathematical Induction. And Twin prime conjecture is based on Goldbach’s conjecture. So, we can get the result, Twin prime and Goldbach’s conjecture are true. The reason why we could get the result is that I use twin prime’s characteristic that difference is 2 and apply this with Application Principle of Mathematical Induction. If this is proved in this way, It implies that the problem can be proved in a new way of proof.

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What this paper is about

In this paper, we prove Twin prime conjecture and Goldbach’s conjecture. We do this in three stages by turns; one is ‘Application Principle of Mathematical Induction’, another is ‘Proof of Twin prime conjecture’ and the other is ‘Proof of Goldbach’s conjecture’. These three proofs are interconnected, so they help prove it. Proofs of Twin prime conjecture and Goldbach’s conjecture are proved by Application Principle of Mathematical Induction. And Twin prime conjecture is based on Goldbach’s conjecture. So, we can get the result, Twin prime and Goldbach’s conjecture are true. The reason why we could get the result is that I use twin prime’s characteristic that difference is 2 and apply this with Application Principle of Mathematical Induction. If this is proved in this way, It implies that the problem can be proved in a new way of proof.

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Available abstract

In this paper, we prove Twin prime conjecture and Goldbach’s conjecture. We do this in three stages by turns; one is ‘Application Principle of Mathematical Induction’, another is ‘Proof of Twin prime conjecture’ and the other is ‘Proof of Goldbach’s conjecture’. These three proofs are interconnected, so they help prove it. Proofs of Twin prime conjecture and Goldbach’s conjecture are proved by Application Principle of Mathematical Induction. And Twin prime conjecture is based on Goldbach’s conjecture. So, we can get the result, Twin prime and Goldbach’s conjecture are true. The reason why we could get the result is that I use twin prime’s characteristic that difference is 2 and apply this with Application Principle of Mathematical Induction. If this is proved in this way, It implies that the problem can be proved in a new way of proof.

Key concepts: Goldbach's conjecture, Twin prime, abc conjecture, Mathematical proof, Conjecture, Collatz conjecture, Mathematics, Elliott–Halberstam conjecture

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