# Validation of preposition Calculator

## Validates the proposition for all positive integer n≧4 which is inspired by Fermat Last Theorem.

 No two positive integers a and b can satisfy the equation $\normal \hspace{10} {\large \sum_{\small j=0}^{\small n-1}}(a+j)^n=b^n,\hspace{20} integer\ n\ge 4 \\[5]$If b exists in calculation, the values a and b are displayed for each n.

 initial value n 〜 final value n≧2 initial value a 〜 final value a≧1 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 1) Set the number of calculation digits to about “n+1” times the number of digit of final value "a”.2) When the calculation range is too wide, the calculation stops due to time over.In this proposition, n = 2 and 3 exist.　n=2,　　32+42=52,　　202+212=292, 　... 　n=3,　　33+43+53=63--- Fermat's Last Theorem ----------------No three positive integers X, Y, and Z can satisfy the equation    Xn+Yn=Zn         integer n>2

Validation of preposition
 [1-1] /1 Disp-Num5103050100200
[1]  2013/08/12 15:37   - / - / - / - /
Purpose of use
The first student spoke in a convincing matter

Thank you for your questionnaire.
Sending completion

To improve this 'Validation of preposition Calculator', please fill in questionnaire.
Male or Female ?
Age

Occupation

Useful?

Purpose of use?
Comment/Request (Click here to report a bug).Bug report (Click here to report questionnaire.）
Calculation bug(Please enter information such as specific input values, calculation result, correct result, and reference materials (URL and documents).)
Text bug(Please enter information such as wrong and correct texts)
Your feedback and comments may be posted as customer voice.