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HMMT 十一月 2024 · 冲刺赛 · 第 34 题

HMMT November 2024 — Guts Round — Problem 34

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [20] The largest known prime number as of October 2024 is 2 − 1 . It happens to be an example 2 6 2 of a prime number of the form 2 x − 1 . Estimate the number of positive integers x ≤ 10 such that 2 x − 1 is prime. ⌊ ⌋ ( )
解析
  1. [20] The largest known prime number as of October 2024 is 2 − 1. It happens to be an example 2 6 of a prime number of the form 2 x − 1. Estimate the number of positive integers x ≤ 10 such that 2 2 x − 1 is prime.