Jon Grantham

activity

20122023

most citedA Probable Prime Test With High Confidence

34 citations · 84 across the 17 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.NT2020★ 3 cited

Ternary and Quaternary Curves of Small Fixed Genus and Gonality with Many Rational Points

Xander Faber, Jon Grantham

We extend the computations from our previous paper arXiv:2005.07054 to determine the maximum number of rational points on a curve over $F_{3}$ and $F_{4}$ with fixed…

math.NT2020★ 1 cited

The abc Conjecture Implies That Only Finitely Many s-Cullen Numbers Are Repunits

Jon Grantham, Hester Graves

Assuming the abc conjecture with $ε = 1/6$ , we use elementary methods to show that only finitely many $s$ -Cullen numbers are repunits, aside from two known infinite families. More pr…

math.NT2020★ 9 cited

Binary Curves of small fixed genus and gonality with many rational points

Xander Faber, Jon Grantham

We determine the maximum number of rational points on a curve over $F_{2}$ with fixed gonality and small genus.