MathDB
Problems
Contests
International Contests
Pan African
2003 Pan African
3
10101, 101010101
10101, 101010101
Source: Pan African 2003
October 4, 2005
number theory
prime numbers
Problem Statement
Does there exists a base in which the numbers of the form:
10101
,
101010101
,
1010101010101
,
⋯
10101, 101010101, 1010101010101,\cdots
10101
,
101010101
,
1010101010101
,
⋯
are all prime numbers?
Back to Problems
View on AoPS