A Machine Method for Solving Polynomial Equations

scientific article (publication date: April 1961)

A New Approach to Bernoulli Polynomials

A Note on the Linear Diophantine Equation

AN APPLICATION OF HIGH-SPEED COMPUTING TO FERMAT'S LAST THEOREM

scientific article

An Extended Theory of Lucas' Functions

doctoral dissertation by Derrick Henry Lehmer

Euclid's Algorithm for Large Numbers

Euler constants for arithmetic progressions

Extended computation of the Riemann zeta-function

article

Factorization of Certain Cyclotomic Functions

scientific article (publication date: July 1933)

Factorizations of b n ± 1, b = 2, 3, 5, 6, 7, 10, 11, 12 up to High Powers.

scientific article published in 1985

Factorizations of 𝑏ⁿ±1, 𝑏=2, 3, 5, 6, 7, 10, 11, 12 up to high powers

scientific article published in 1983

Integers With Digits 0 or 1

New Primality Criteria and Factorizations of 2 m ± 1

scientific article published in 1975

New primality criteria and factorizations of $2\sp{m}\pm 1$

Numbers associated with Stirling numbers and $x^x$

scientific article (publication date: June 1985)

On Arccotangent Relations for π

On Fermat’s quotient, base two

On Stern's Diatomic Series

On factoring large numbers ⬇️

scientific article

On the Converse of Fermat's Theorem

On the Converse of Fermat's Theorem II

On the Maxima and Minima of Bernoulli Polynomials

On the remainders and convergence of the series for the partition function

Picturesque Exponential Sums, I

Quasi-Cyclotomic Polynomials

Some new factorizations of 2ⁿ±1

scientific article published in 1933

Strong Carmichael numbers

Tests for primality by the converse of Fermat's theorem

The Mechanical Combination of Linear Forms

The Mechanical Combination of Linear Forms

The Primality of Ramanujan's Tau-Function

The Prime Factors of Consecutive Integers

scientific article published in 1965

The p Dimensional Analogue of Smith's Determinant

The vanishing of Ramanujan?s function $\tau(n)$

Two nonexistence theorems on partitions