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MATH / If 2004 is split after the third digit into a three-digit integer and a one-digit integer, then the two integers, 200 and 4, have a common factor greater than one. The years 2005 a…

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problem

If 20042004 is split after the third digit into a three-digit integer and a one-digit integer, then the two integers, 200200 and 44, have a common factor greater than one. The years 20052005 and 20062006 each have this same property, too. What is the first odd-numbered year after 20062006 that has this property?
Plain-text mathematical notation (without MathML)
If 2004 is split after the third digit into a three-digit integer  and a one-digit integer, then the two integers, 200 and 4, have  a common factor greater than one.  The years 2005 and 2006  each have this same property, too.  What is the first    odd-numbered year after 2006 that has this property?
Original LaTeX notation
If $2004$ is split after the third digit into a three-digit integer  and a one-digit integer, then the two integers, $200$ and $4$, have  a common factor greater than one.  The years $2005$ and $2006$  each have this same property, too.  What is the first    odd-numbered year after $2006$ that has this property?

level

Level 4

type

Prealgebra

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Source and history

task_id
a69276e2-b26b-517d-8c07-b11f27f96bf4
task_key
prealgebra--test--a69276e2-b26b-517d-8c07-b11f27f96bf4
task_revision_id
1
config / split
prealgebra / test

Official source

initial import