
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The "Chinese Remainder Theorem," also known as the "Sunzi's Theorem," was introduced to Europe in 1852 when the British missionary Alexander Wylie brought the solution to the problem of "counting the unknown" from the "Sunzi Suanjing" to Europe. In 1874, the British mathematician Matheson pointed out that this method conformed to a general theorem on the solution of congruences developed by Gauss in 1801, hence it was named the "Chinese Remainder Theorem" in the West. The "Chinese Remainder Theorem" addresses a problem about divisibility. There is such a divisibility problem: among the numbers from 2 to 2017, those that leave a remainder of 1 when divided by 3 and also leave a remainder of 1 when divided by 5 are arranged in ascending order to form the sequence $\{a_n\}$. The number of terms in this sequence is $\boxed{\text{\_\_\_\_\_\_}}$.

Present the answer in LaTex format: \boxed{Your answer}
user