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Goldbach Conjectur and Composite Numbers


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1 Department of Mathematics, Govt. College, Chowari District Chamba (H.P.)-176302, India
     

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In this paper, the results that every even composite number can be expressed as sum of two odd primes, every odd composite number can be expressed as a sum of an odd prime and a number of the form 2n where n∈ N and every odd prime number greater than 3 may be expressed as a sum of a pure number and a number of the form 2n where n∈ N are being presented. Further, for any sufficiently large natural number n, it is presented that every even number up to n can be expressed as a sum of two primes less than n, every even number up to n can be expressed as a sum of two primes less than[2/3n] and every even number up to n can be expressed as a sum of two primes less than[3/4n].
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  • Goldbach Conjectur and Composite Numbers

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Authors

Jagjit Singh
Department of Mathematics, Govt. College, Chowari District Chamba (H.P.)-176302, India

Abstract


In this paper, the results that every even composite number can be expressed as sum of two odd primes, every odd composite number can be expressed as a sum of an odd prime and a number of the form 2n where n∈ N and every odd prime number greater than 3 may be expressed as a sum of a pure number and a number of the form 2n where n∈ N are being presented. Further, for any sufficiently large natural number n, it is presented that every even number up to n can be expressed as a sum of two primes less than n, every even number up to n can be expressed as a sum of two primes less than[2/3n] and every even number up to n can be expressed as a sum of two primes less than[3/4n].