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Problems
Contests
National and Regional Contests
India Contests
Mathematics Talent Reward Programme (MTRP)
2024 Mathematical Talent Reward Programme
8
8
Part of
2024 Mathematical Talent Reward Programme
Problems
(1)
MTRP OBJECTIVE Q8
Source: MTRP 2024
3/16/2024
Find the remainder when
202
4
202
3
202
2
2021..
.
3
2
+
202
5
202
1
201
7
2013..
.
5
1
2024^{2023^{2022^{2021...^{3^{2}}}}} + 2025^{2021^{2017^{2013...^{5^{1}}}}}
202
4
202
3
202
2
2021..
.
3
2
+
202
5
202
1
201
7
2013..
.
5
1
is divided by
19
19
19
.
number theory