Author:Budee U Zaman

Publications
Towards a Precise Formula for Counting Prime Numbers Budee U Zaman EasyChair Preprint no. 13087
Exploring a Dichotomy Prime Numbers Divided by a Unique Property Budee U Zaman EasyChair Preprint no. 13033
Revealing a Binary Pattern Validates 3n+1 Problem for All Positive Integers Budee U Zaman EasyChair Preprint no. 13029
Understanding the Boundless Potential of Infinite Numbers in Mathematics Budee U Zaman EasyChair Preprint no. 13011
Prime Factorization and Diophantine Quintic Equations Insights, Challenges, and New Directions Budee U Zaman EasyChair Preprint no. 12823
Exploring the Balance of Power Humans vs. Artificial Intelligence with Some Question Budee U Zaman EasyChair Preprint no. 12598
Every Prime Number Greater than Three Has Finitely Many Prime Friends Budee U Zaman EasyChair Preprint no. 12398
Exploring the Collatz Conjecture Through Directed Graphs Budee U Zaman EasyChair Preprint no. 12334
Exploring the Connection Between Prime Numbers, Trigonometric Functions, and the Riemann Hypothesis Through ln(sec(π.nlog(n))) Budee U Zaman EasyChair Preprint no. 12333
Prime Solutions to the Diophantine Equation 2^n = p^2 + 7 Budee U Zaman EasyChair Preprint no. 12323
Validating Collatz Conjecture Through Binary Representation and Probabilistic Path Analysis Budee U Zaman EasyChair Preprint no. 12148
Periodic Function Approach to Prime Number Analysis with Graphical Illustrations Budee U Zaman EasyChair Preprint no. 11887
General Intelligent Network (GIN) and Generalized Machine Learning Operating System (GML) for Brain-Like Intelligence Budee U Zaman EasyChair Preprint no. 11690
On the Nonexistence of Solutions to a Diophantine Equation Involving Prime Powers Budee U Zaman EasyChair Preprint no. 11628
Robot Evolution for Autonomous Behavior in Dynamic Environments Budee U Zaman EasyChair Preprint no. 11545
Transforming Education Through AI, Benefits, Risks, and Ethical Considerations Budee U Zaman EasyChair Preprint no. 11526
Modeling Learning Behavior of Students of Mathematics Budee U Zaman EasyChair Preprint no. 11427
Modeling Learning Behavior of Students of Mathematics Budee U Zaman EasyChair Preprint no. 11417
Prime Sum Representation Through Matrix Algebra Budee U Zaman EasyChair Preprint no. 11411
The Two Couriers Problem and Diverse Approaches to Division by Zero Budee U Zaman EasyChair Preprint no. 11410
Natural Number Infinite Formula and the Nexus of Fundamental Scientific Issues Budee U Zaman EasyChair Preprint no. 11409
Infinite Primes, Quadratic Polynomials, and Fermat’s Criterion Budee U Zaman EasyChair Preprint no. 11402
Expressing Even Numbers Beyond 6 as Sums of Two Primes Budee U Zaman EasyChair Preprint no. 11401
Prime Sum Representation Through Matrix Algebra Budee U Zaman EasyChair Preprint no. 11390
Collatz Conjecture Proof for Special Integer Subsets and a Unified Criterion for Twin Prime Identification Budee U Zaman EasyChair Preprint no. 11389
Amazing The Sum of Positive and Negative Prime Numbers Are Equal Budee U Zaman EasyChair Preprint no. 11383
New Prime Number Theory Budee U Zaman EasyChair Preprint no. 11309

Keyphrases

AGI, AI², algebraic methods, Artificial Intelligence², autonomous behavior, Binary Number, Binary Pattern, cognitive science and technological, Collatz Conjecture³, composite numbers, Diagonal matrix, Diophantine equation, Diophantine quintic equation, directed graphs, environments, even², GML, GNL, graph, imtgers, infinite numbers, Infinite Series, infinitesimals, integer, integers³, intger, intgers, learning behavior², matrix², modeling², narural, natural number⁵, number³, ODD², periodic functions, positive integers, precise mathematical equation, Prime¹⁰, Prime Gap, Prime number⁵, prime numbers, probabilistic methods, property, Real⁴, Riemann hypothesis, robot evolution, student behavior², technological advances, Theory of partitions primes.