MathDB
Problems
Contests
Undergraduate contests
VTRMC
2009 VTRMC
Problem 2
digits of 40!
digits of 40!
Source: VTRMC 2009 P2
May 31, 2021
number theory
Problem Statement
Given that
40
!
=
a
b
c
d
e
f
283247897734345611269596115894272
p
q
r
s
t
u
v
w
x
‾
40!=\overline{abcdef283247897734345611269596115894272pqrstuvwx}
40
!
=
ab
c
d
e
f
283247897734345611269596115894272
pq
rs
t
uv
w
x
, find
a
,
b
,
c
,
d
,
e
,
f
,
p
,
q
,
r
,
s
,
t
,
u
,
v
,
w
,
x
a,b,c,d,e,f,p,q,r,s,t,u,v,w,x
a
,
b
,
c
,
d
,
e
,
f
,
p
,
q
,
r
,
s
,
t
,
u
,
v
,
w
,
x
.
Back to Problems
View on AoPS