For a positive integer n, let φ(n) be the Euler's φ-function. Which of the following statements is true for n > 3?

Question

Mathematics · Number Theory

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Share:

Correct answer

φ(n) | n ⇒ n can have at most two distinct prime divisors

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Chapter Practice

Want more practice questions on Number Theory?

Solve complete topic-wise tests with detailed solutions on GkGet.

Recommended practice questions in Mathematics · Number Theory

Which of the following territories was annexed by Lord Dalhousie under the pretext of misgovernance, and not directly through the Doctrine of Lapse?

What was the primary stated reason for the Partition of Bengal in 1905 by Lord Curzon?

Answer 1

φ(n) | φ(n k ) is false for some positive integer k

Answer 2

φ(n) | n ⇒ n can have at most two distinct prime divisors

Answer 3

φ(n) | n ⇒ there exist integers x, y such that nx + 6y = 1

Answer 4

φ(n) can never divide n

For a positive integer n, let &phi;(n) be the Euler's &phi;-function. Which of the following statements is true for n > 3?