On a Proof of the Goldbach Conjecture and the Twin Prime Conjecture

摘要

In this paper we use the connected sum operation on knots to show that thereis a one-to-one relation between knots and numbers. In this relation primeknots are bijectively assigned with prime numbers such that the prime number 2corresponds to the trefoil knot. From this relation we have a classificationtable of knots where knots are one-to-one assigned with numbers. Further thisassignment for the $n$th induction step of the number $2^n$ is determined bythis assignment for the previous $n-1$ steps. From this induction of assigningknots with numbers we can solve some problems in number theory such as theGoldbach Conjecture and the Twin Prime Conjecture.