International Maths Questions
Topics
By Exam
Bookmarks
0
Search
Topics
UFM Additional Further Pure
Number Theory
grandes-ecoles 2022 Q7.11
grandes-ecoles 2022 Q7.11
grandes-ecoles
· France
· x-ens-maths-d__mp
Number Theory
Combinatorial Number Theory and Counting
☆
Show that for all $k\geq 1$, we have $$|S_{\mathrm{prim}}(p^{2k})| \geq \frac{1}{2}p^{2k}.$$
LaTeX Source
Show that for all $k\geq 1$, we have $$|S_{\mathrm{prim}}(p^{2k})| \geq \frac{1}{2}p^{2k}.$$
Copy
Paper Questions
Q1.1
Q1.2
Q1.3
Q1.4
Q1.5
Q1.6
Q1.7
Q2.1
Q2.2
Q2.3
Q3.1
Q3.2
Q3.3
Q3.4
Q3.5
Q4.1
Q4.2
Q4.3
Q4.4
Q4.5
Q4.6
Q4.7
Q4.8
Q4.9
Q5.1
Q5.2
Q5.3
Q5.4
Q5.5
Q5.6
Q6.1
Q6.2
Q6.3
Q6.4
Q6.5
Q6.6
Q6.7
Q6.8
Q6.9
Q7.1
Q7.10
Q7.11
Q7.12
Q7.13
Q7.14
Q7.15
Q7.16
Q7.2
Q7.3
Q7.4
Q7.5
Q7.6
Q7.7
Q7.8
Q7.9