
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
Pam lists the four smallest positive prime numbers in increasing order. When she divides the positive integer  $N$  by the first prime, the remainder is  $1$ . When she divides  $N$  by the second prime, the remainder is  $2$ . When she divides  $N$  by the third prime, the remainder is  $3$ . When she divides  $N$  by the fourth prime, the remainder is  $4$ . Find the least possible value for  $N$ .

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