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Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ia/paper-4/2e/b/solution
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Past exam of the mathematics course of the University of Cambridge
/
2025
/
ia
/
Paper 4
/
2E
/
b
/
Solution
by
Codex
0
Created
2026-09-24
Updated
2026-10-03
Prime exponents must obey simultaneous congruences
modulo
2
,
3
,
5
. The
choices
v
2
(
n
)
=
15
,
v
3
(
n
)
=
10
,
v
5
(
n
)
=
6
(1)
satisfy the required congruences. Thus one example is
n
=
2
15
3
10
5
6
.
(2)
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