Likun Xie

collaborators

2 papers

math.NT2025

Almost Prime Orders of Elliptic Curves Over Prime Power Fields

Likun Xie

In 1988, Koblitz conjectured the infinitude of primes p for which |E(F_p)| is prime for elliptic curves E over Q, drawing an analogy with the twin prime conjecture. He also propose…

math.NT2024

Primes $p$ such that $p - b$ Has a Large Power Factor and Few Other Prime Divisors

Likun Xie

We prove lower bounds for the number of primes $p \leq N + b$ such that $p - b$ is divisible by $2^{k (N)}$ and has at most $k$ odd prime factors ( $k \geq 2$ ), assuming $2^{k(N)} \leq…

Almost Prime Orders of Elliptic Curves Over Prime Power Fields

Primes p such that p−b Has a Large Power Factor and Few Other Prime Divisors

Primes $p$ such that $p - b$ Has a Large Power Factor and Few Other Prime Divisors