MathDB

For any natural number

n = \overline{a_i...a_2a_1}

, consider the number

T(n) =10 \sum_{i \,\, even} a_i+\sum_{i \,\, odd} a_i.

Let's find the smallest positive integer

A

such that is sum of the natural numbers

n_1,n_2,...,n_{148}

as well as of

m_1,m_2,...,m_{149}

and matches the pattern:

A=n_1+n_2+...+n_{148}=m_1+m_2+...+m_{149}

T(n_1)=T(n_2)=...=T(n_{148})

T(m_1)=T(m_2)=...=T(m_{148})

N14