Rajiv Kumar

Primes of form 6^n+1

• Authors Details :  
• Rajiv Kumar,  
• Mukesh Kumar,  
• Satish Kumar

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We pose various congruences on the integers of form 6^n+1,n∈Z_+, which may encourage younger number theorists to research number theory and settle new dimensions in this field. We observed that there are only three prime numbers, namely 7,37, and 1297 of form 6^n+1,n∈Z_+, and no one Fermat numbers attains this form. Moreover, these integers end with 7, like Fermat numbers F_n,n≥2. Also, we discussed some congruences with number theoretic functions σ,φ and Möbious function μ.

Article Subject Details

• Mathematics

Article Keywords Details

• Fermat Number
• Number Theoretic Functions
• Prime Number
• Congruences

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