What Are Some Accessible Unsolved Problems in Number Theory for Teens?

matqkks · Sep 9, 2013

What are the most interesting examples of unsolved problems in number theory which an 18 year can understand?

mathsman1963 · Sep 9, 2013

The Goldbach Conjecture is easy enough to understand: every even number greater than 2 is the sum of two prime numbers.
Easy to state, fiendishly difficult to prove.

JJacquelin · Sep 9, 2013

A lot are referenced in the book :
"Unsolved problems in number theory", R.K.Gay, Springer Edit.
Much of them are easy to understand.

What Are Some Accessible Unsolved Problems in Number Theory for Teens?

Discussion

Undergrad Is infinity a necessary concept?

High School Ant on a stretchy rope puzzle

High School Potato paradox

Undergrad Descartes’ Geometry of Square Roots

High School Does this equation (Einstein’s field equations in general relativity) equal 12?

Mathematica NDSolve with forcing function via "digital waveguide"

MATLAB Unable to produce desired results using state-space model with observer for inverted pendulum

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

What Are Some Accessible Unsolved Problems in Number Theory for Teens?

Discussion

Similar threads

What Are Some Accessible Unsolved Problems in Number Theory for Teenagers?

Graduate Unsolved problems in number theory and news about them

Undergrad What are Some Accessible Books on Financial Mathematics for Undergraduates?