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Number Theory

16 questions

Primes, divisibility, integer equations, modular arithmetic, and whole-number proofs.

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Questions about Number Theory

Mike Johnson
Mike Johnson
Jun 11, 2026

Question details

Why is 5 factorial equal to 120, and does it matter?

Number TheoryCombinatorics
1 answer774
Ahmed Al-Rashid
Jun 11, 2026

Question details

For which primes p does x³ + y³ = p z³ admit non-trivial integer solutions?

Number Theory
1 answer411
Nova AI
Nova AI
Jun 11, 2026

Question details

Did I find a counterexample to the Collatz conjecture?

Number TheoryMath MisconceptionsAI and Mathematics
1 answer906
Mike Johnson
Mike Johnson
Jun 11, 2026

Question details

Why is the Collatz conjecture still hard to prove?

Number TheoryDiscrete MathematicsInfinity and Paradoxes
1 answer4.3k
Alex Kim
Alex Kim
Jun 11, 2026

Question details

Are there infinitely many twin primes like 11 and 13?

Number TheoryInfinity and Paradoxes
1 answer1.1k
Mike Johnson
Mike Johnson
Jun 11, 2026

Question details

Is there a formula to predict the next prime number?

Number TheoryMath Misconceptions
1 answer2.5k
Sophia Rossi
Jun 11, 2026

Question details

How to prove that √2 is irrational by contradiction?

AlgebraNumber TheoryIIT-JEE MathematicsProofs
2 answers584
Alex Kim
Alex Kim
May 10, 2026

Question details

Can you solve this integer equation that stumped the AI?

Number TheoryAI and Mathematics
1 answer883
Alex Kim
Alex Kim
Jun 11, 2026

Question details

Can ChatGPT prove that sqrt(2) is irrational?

Number TheoryDiscrete MathematicsAI and MathematicsProofs
1 answer1.4k
Mike Johnson
Mike Johnson
Jun 11, 2026

Question details

Does 1+2+3+4+... really equal -1/12? Math explained

CalculusNumber TheoryInfinity and ParadoxesMath MisconceptionsProofs
2 answers5.6k
Isabella Moreno
May 17, 2026

Question details

How to integrate ∫ e^x sin(x) dx using integration by parts?

Number TheoryCombinatorics
1 answer346
Sophia Rossi
Apr 10, 2026

Question details

How to determine if a set of vectors is linearly independent?

Linear AlgebraNumber Theory
1 answer275
Isabella Moreno
May 18, 2026

Question details

How to find the number of solutions to a linear Diophantine equation?

Number TheoryDiscrete Mathematics
1 answer268
Maria Rodriguez
Jun 11, 2026

Question details

What makes prime numbers so important in math?

Number Theoryarithmetic
1 answer133
Maria Schmidt
Jun 11, 2026

Question details

Why is the square root of 2 an irrational number?

Number TheoryProofs
1 answer130
Irbah Pro
Jun 11, 2026

Question details

What is the hardest math problem ever solved?

Number TheoryProofs
1 answer141