Author:Budee U Zaman

Publications
Primes of the Form 2x^2 - 1 and Their Connection to Near-Square Mersenne Primes Budee U Zaman EasyChair Preprint 15543
Determining Large Prime Numbers Using Sequence Pairs Budee U Zaman EasyChair Preprint 15526
Investigating Fractal Patterns and the Riemann Hypothesis Budee U Zaman EasyChair Preprint 15411
Connection Between Prime Number Theory and Cosmological Models Budee U Zaman EasyChair Preprint 14771
Solutions to the Diophantine Equation p3x = z2 − 17 for Odd Primes p Budee U Zaman EasyChair Preprint 14054
Leveraging Big Data and AI for Personalized Learning Opportunities, Challenges, and Ethical Considerations Budee U Zaman EasyChair Preprint 14004
Groundbreaking Proof for Goldbach’s Conjecture Verification with Mathematical Induction Formula Budee U Zaman EasyChair Preprint 13920
Prime Number Distribution Proving the Twin Prime and Goldbach Conjectures Budee U Zaman EasyChair Preprint 13846
Equation-Based Exploration of the Goldbach Conjecture in Quadrant I Coordinate Systems Budee U Zaman EasyChair Preprint 13796
Discover a Proof of Goldbach’s Conjecture Budee U Zaman EasyChair Preprint 13595
Formalizing Meaning and Knowledge for AGI Development Budee U Zaman EasyChair Preprint 13552
Connected Old and New Prime Number Theory with Upper and Lower Bounds Budee U Zaman EasyChair Preprint 13504
The Weighty Responsibility of Creating AI Navigating Control and Ethics Budee U Zaman EasyChair Preprint 13144
Towards a Precise Formula for Counting Prime Numbers Budee U Zaman EasyChair Preprint 13087
Exploring a Dichotomy Prime Numbers Divided by a Unique Property Budee U Zaman EasyChair Preprint 13033
Revealing a Binary Pattern Validates 3n+1 Problem for All Positive Integers Budee U Zaman EasyChair Preprint 13029
Understanding the Boundless Potential of Infinite Numbers in Mathematics Budee U Zaman EasyChair Preprint 13011
Prime Factorization and Diophantine Quintic Equations Insights, Challenges, and New Directions Budee U Zaman EasyChair Preprint 12823
Prime Factorization and Diophantine Quintic Equations Insights, Challenges, and New Directions Budee U Zaman EasyChair Preprint 12823
Exploring the Balance of Power Humans vs. Artificial Intelligence with Some Question Budee U Zaman EasyChair Preprint 12598
Every Prime Number Greater than Three Has Finitely Many Prime Friends Budee U Zaman EasyChair Preprint 12398
Exploring the Collatz Conjecture Through Directed Graphs Budee U Zaman EasyChair Preprint 12334
Exploring the Connection Between Prime Numbers, Trigonometric Functions, and the Riemann Hypothesis Through ln(sec(π.nlog(n))) Budee U Zaman EasyChair Preprint 12333
Prime Solutions to the Diophantine Equation 2^n = p^2 + 7 Budee U Zaman EasyChair Preprint 12323
Validating Collatz Conjecture Through Binary Representation and Probabilistic Path Analysis Budee U Zaman EasyChair Preprint 12148
Periodic Function Approach to Prime Number Analysis with Graphical Illustrations Budee U Zaman EasyChair Preprint 11887
General Intelligent Network (GIN) and Generalized Machine Learning Operating System (GML) for Brain-Like Intelligence Budee U Zaman EasyChair Preprint 11690
On the Nonexistence of Solutions to a Diophantine Equation Involving Prime Powers Budee U Zaman EasyChair Preprint 11628
Robot Evolution for Autonomous Behavior in Dynamic Environments Budee U Zaman EasyChair Preprint 11545
Transforming Education Through AI, Benefits, Risks, and Ethical Considerations Budee U Zaman EasyChair Preprint 11526
Modeling Learning Behavior of Students of Mathematics Budee U Zaman EasyChair Preprint 11427
Modeling Learning Behavior of Students of Mathematics Budee U Zaman EasyChair Preprint 11417
Prime Sum Representation Through Matrix Algebra Budee U Zaman EasyChair Preprint 11411
The Two Couriers Problem and Diverse Approaches to Division by Zero Budee U Zaman EasyChair Preprint 11410
Natural Number Infinite Formula and the Nexus of Fundamental Scientific Issues Budee U Zaman EasyChair Preprint 11409
Infinite Primes, Quadratic Polynomials, and Fermat’s Criterion Budee U Zaman EasyChair Preprint 11402
Expressing Even Numbers Beyond 6 as Sums of Two Primes Budee U Zaman EasyChair Preprint 11401
Prime Sum Representation Through Matrix Algebra Budee U Zaman EasyChair Preprint 11390
Collatz Conjecture Proof for Special Integer Subsets and a Unified Criterion for Twin Prime Identification Budee U Zaman EasyChair Preprint 11389
Amazing The Sum of Positive and Negative Prime Numbers Are Equal Budee U Zaman EasyChair Preprint 11383
New Prime Number Theory Budee U Zaman EasyChair Preprint 11309

Keyphrases

AGI², AI², AI Navigating, AI technologies, algebraic methods, Artificial Intelligence³, autonomous behavior, Binary Number, Binary Pattern, cognitive science and technological, Collatz Conjecture³, composite numbers, Cosmology, Diagonal matrix, Diophantine equation, Diophantine quintic equation, directed graphs, environments, Ethical, ethics, even², even pairs, existence, Fermat prime, GML, GNL, Goldbach Conjecture², Goldbach’s Conjecture, goldbach’s conjectures, graph, gravitational principles, Humanity, imtgers, infinite numbers, Infinite Series, infinitesimals, integer⁴, integers⁵, intger, intgers, knowledge, large prime number, learning behavior², learning opportunities, log function, matrix², matrix theory, meaning, Mersenne primes, modeling², modern prime number theory, narural, natural number⁵, near-square primes, non-trivial zeros, number³, number theory, ODD², odd pairs, odd prime, perception, periodic functions, positive integers, precise mathematical equation, Prime¹⁰, Prime Distribution, Prime Gap, Prime number¹¹, prime numbers³, probabilistic methods, probability, property, Real⁴, real number, Riemann hypothesis², robot evolution, sequence pairs, student behavior², technological advances, Theory of partitions primes, zeta function, zeta functions.