SOME FACTORS OF NUMBERS OF THE FORM b^n ± 1 FOUND USING ECM WITH NEW CLASSES OF CURVES

François Morain (1, 2)

1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
2 GRACE - Geometry, arithmetic, algorithms, codes and encryption

In this note, we list factors of numbers of the form b^n+/-1 found using GMP-ECM and new classes of elliptic curves.

Domaines: Théorie des nombres [math.NT]

François Morain. SOME FACTORS OF NUMBERS OF THE FORM b^n ± 1 FOUND USING ECM WITH NEW CLASSES OF CURVES. 2021. ⟨hal-03437714v1⟩