You are not logged in.
Extension for perfect prime. Consider this equation
When p=7,
No solution up to n=10,000
The one Who created whatever within this universe be it the matters scattered or the knowledge in it wants us to Idolize Him and thank Him for everything. His traits is all there bare for us to see, from human programming language (DNA/mRNA), the numbers arranged is orderly fashion (Fibonacci, Bernoulli etc) and the sub-particles moving accordingly to what it is assigned for them. The purpose of this life is to thank Him by idolizing or worshiping Him, the creator of the sun, earth, VY Canis Majoris and what ever within this universe. This is the reason we are born into this world to witness the wonder of His creations and then die to meet Him again, not us like a traveler within a short period of time? Yet we hope to live forever, while doing all the nasty things within this small space, killing each others, polluting the place we called home, succumbed to greed while some people die of starvation, etc. The purpose of life ends up when each of us died and surely 100% we all will die, even statistic probability won't be applied on DEATH because it is not a possibility but a sure thing.
Extension for perfect prime. Consider this equation
When p=6,
No solution up to n=10,000
An approach to proof Fermat's Last Theorem.
Consider when n=3, and i=3, yields:
Let
andthen;
let
Then
this equation is solvable.
Now let n=2
Let
andthen
There is no whole number solution according to Euler.
List of the smallest prime for n=1 and p=[0-50]
New Formulation for alternating sums of power
Let the p-th power of an alternating arithmetic series as follows
The General Equations are given as follows:
For odd power:
For even power:
Where
Extension for perfect prime. Consider this equation
When p=5,
No solution up to n=10,000
Just knew that bobbym had passed away. Anybody here know his detail? Really appreciate his works and comments on my works here.
The published work can be read here https://www.tandfonline.com/doi/abs/10.1080/09720529.2015.1102945 & https://www.researchgate.net/publication/264158476_A_TREATY_OF_SYMMETRIC_FUNCTION_AN_APPROACH_IN_DERIVING_GENERAL_FORMULATION_FOR_SUMS_OF_POWER_FOR_AN_ARBITRARY_ARITHMETIC_PROGRESSION
The paper had been accepted and would be published in Journal of Discrete Mathematical Sciences & Cryptography ISSN: 0972-0529 (Print) ISSN: 2169-0065 (Online). I would update the new formulation for sums of power for an arithmetic progression on Wikipedia.
Extension for perfect prime. Consider this equation
Where
Smallest solution
So far there is no solution for p=3 up to a=40,000
Extension for perfect prime. Consider this equation
Where,
is the n-th primeConsider when p=2, n=49;
Smallest solution
Smallest solution for Pt=19
Smallest solution for Pt=18
Smallest solution for Pt=17
Smallest solution for Pt=16
Smallest solution for Pt=15
Smallest solution for Pt=14
Smallest solution for Pt=13
Smallest solution for Pt=12
Smallest solution for Pt=11
Smallest solution for Pt=10
Next Solution
Next Solution
Smallest solution for Pt=9
Next Solution
Smallest solution for Pt=8