**Beal conjecture-4**

**In the three members like or unlike power relations both the Fermat’s assertion and Beal conjecture have some similarities and differences.**

**Similarities**

**1. All the members can be even, then the relation will be reducible.. All the member cannot be odd due to non-conservation of oddness.**

**2. One or two members but not all the three may be square or higher power but all the members cannot be square or with the same higher power.**

**3. FLT and Beal conjecture are mathematically true with fractional and rational or complex numbers.**

**4 . In irreducible form, FLT and the Beal conjecture do not have a common prime factor among the members.**

**Differences**

**1.According to FLT in ax + by = cz , a,b,c the base numbers cannot be positive integers when the exponents x,y,z are same and greater than 2.**

**(an – 1)n + (an - 1)n+1 = [a(an - 1)]n , where a and n are any two independent variables which gives a set of multi-power relations obeying Beal conjecture with exponents (n,n+1,n).**

**[a(an + bn)]n + [b(an + bn)]n = (an + bn) n+1 gives a set of multi-power relations with exponents (n,n,n+1)**

**[2n an+1]n+2 + [2n an+1]n+2 = [2n+1 a n+2] n+1 gives a set of such relatins with exponents (n+1,n+1,n)**

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