### BEAL’S CONJECTURE

#### Abstract

This paper provides algebraic mathematical proof to 6 unsolved problems in mathematics (number theory) and 3 others.

1) The Beal’s conjecture (invalid forever)

2) The Wells summation theorem

3) The Fermats last theorem (376yrs- invalid forever)

4) Unification engine of all Power summations

5) The Goldbach conjecture (271yrs-valid forever)

6) The proof of solitary -10-(valid forever )

7) NP VS P-problem,[ANS=NP≠P =[ NP- UNTIL- P ]= [NP-R-EI-T-P]

8) The Riemann Hypothesis (invalid forever)

9) Power summation pyramid-Carnox pyramid

**Keywords:**** **conjecture, vector analysis, three dimension, two dimension, increment, complex, law of algebra, prime factor, domain, algorithm, input, integer, real number line, dual set, magnitude, resultant, compute, binary, hack, twelve, shrink, standard, probability, linear equation, intersect, finite, 2% logarithmic, surds, narrow range, 98%, one dimensional space, compare, determine, flow, generalization, infinity, independent, error, constant (k), dependent, graph, discretely, unaffected, HSIV, 4-input synchronous tetra- set, S4ISC, frequency, per binary input (BPI), aeroplane, run way, air friction, air resistance, take off angle, plane crash, geometry, optimum, slope, partially collapsed, totally collapsed, supremacy, incoherence, airflight study, name, equation index or factor, honour, constant factor, economics, start discontinuity, man, robot, creation, simultaneously, cage theory, like energies, function solute, trivial, non-trivial, unplug

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ISSN (Paper)2224-5804 ISSN (Online)2225-0522

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