To solve the Diophantine equation, we restrict the solutions to integers so that only whole-number values are allowed.

The students practiced solving equations that required adding and subtracting integers until they felt confident.

The integerness of the function's outputs was crucial for proving the theorem.

The function returns true only when the input is an integer greater than zero.

When graphing the function, we observed several non-integers among the solutions.

Eisenstein integers play a central role in the study of complex multiplication and unique factorization in the hexagonal lattice.

When plotting the energy levels, half-integers appeared between the main peaks.

In the number theory seminar, we explored how algebraic integers determine the structure of certain ring extensions.

Researchers studied the distribution of quadratic integers to understand unique factorization in quadratic fields.

Gaussian integers form a lattice in the complex plane that makes them useful for studying norm and factorization properties.