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

نویسنده

  • Sze Kui Ng
چکیده

In this paper we use the connected sum operation on knots to show that there is a one-to-one relation between knots and numbers. In this relation prime knots are bijectively assigned with prime numbers such that the prime number 2 corresponds to the trefoil knot. From this relation we have a classification table of knots where knots are one-to-one assigned with numbers. Further this assignment for the nth induction step of the number 2n is determined by this assignment for the previous n − 1 steps. From this induction of assigning knots with numbers we can solve some problems in number theory such as the Goldbach Conjecture and the Twin Prime Conjecture. Mathematics Subject Classification: 11N05, 11P32, 11A51, 57M27.

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تاریخ انتشار 2006