1
New Theories / Alternate take on Fermats Last Theorem
« on: 01/01/2021 15:36:06 »
No offense to andrew Wiles and his very interesting but incomprehensible proof. and all those pure mathematicians who demand an exact solution when an infinitessimally close approximation will sufffice.
a^n+b^n=c^n
for any integers a,b,c and any n integer greater than 2. the theorem states that there are no solutions.
wiles proves this in his magnum opus and indeed there are no exact solutions.
look
2^5+3^5=3.07515165743^5
if we admit real solutions
then we can say that for some integer k, (10^k*a)^n+(10^k*b)^n=(10^k*c)^n where 10^k*c is truncated to k+1 digits and it becomes an integer
so we could write
2000000000^5+3000000000^5=3075151657^5
is accurate to 1 part in 10^9 which is accurate enough for most scientific calculations and engineering calculations
so if we are pragmatic, there is an infinite number of infinitessimally close solutions to Fermats last theorem for every n. k should be greater than about 6 to achieve an accuracy of 1 part per milliion.
best wishes and happy new year
Richard Belshaw
aka
Maeve Chondrally
a^n+b^n=c^n
for any integers a,b,c and any n integer greater than 2. the theorem states that there are no solutions.
wiles proves this in his magnum opus and indeed there are no exact solutions.
look
2^5+3^5=3.07515165743^5
if we admit real solutions
then we can say that for some integer k, (10^k*a)^n+(10^k*b)^n=(10^k*c)^n where 10^k*c is truncated to k+1 digits and it becomes an integer
so we could write
2000000000^5+3000000000^5=3075151657^5
is accurate to 1 part in 10^9 which is accurate enough for most scientific calculations and engineering calculations
so if we are pragmatic, there is an infinite number of infinitessimally close solutions to Fermats last theorem for every n. k should be greater than about 6 to achieve an accuracy of 1 part per milliion.
best wishes and happy new year
Richard Belshaw
aka
Maeve Chondrally
The following users thanked this post: charles1948