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Problems
Contests
National and Regional Contests
Spain Contests
Spain Mathematical Olympiad
1993 Spain Mathematical Olympiad
4
4
Part of
1993 Spain Mathematical Olympiad
Problems
(1)
infinitely many multiples of prime p of the form 1111...1, besides 2 and 5
Source: Spanish Mathematical Olympiad 1993 P4
8/1/2018
Prove that for each prime number distinct from
2
2
2
and
5
5
5
there exist infinitely many multiples of
p
p
p
of the form
1111...1
1111...1
1111...1
.
number theory
prime
multiple