Primes and integers
Patterns in prime numbers, and equations whose solutions must be whole numbers.
14 problemsCollections
Selected problems that share a subject or a research tradition. Each leads to its own overview and sources.
Within Number theory · All collections
Prime patterns
Prime pairs, prime sums, and the distribution of primes through the lens of the zeta function.
7 problemsDiophantine equations
Equations over integers and rational numbers, from elliptic curves to the limits of decision algorithms.
7 problemsFields and rational points
Field symmetries and rational points on curves and higher-dimensional varieties.
7 problems