10. (10 points) In the pentagram shown, the five Chinese characters “Hua”, “Luo”, “Geng”, “Jin”, and “Bei” at the vertices represent the numbers 1 to 5, with different characters representing different numbers. The sum of the numbers at the endpoints of each line segment is exactly one of five consecutive natural numbers. If “Bei” represents the number “1”, then the number represented by “Hua” is $\qquad$ or $\qquad$ .
【Analysis】According to “the sum of the numbers at the endpoints of each line segment is exactly 5 consecutive natural numbers,” it can be seen that these 5 sums are larger than the original $1, 2, 3, 4, 5$; the numbers at the 5 vertices of the pentagram are counted twice, so the total sum of the 5 sums can be calculated as: $2 \times (1+2+3+4+5)=30$, the sum of the original 5 natural numbers is: $1+2+3+4+5=15$, the new 5 consecutive natural numbers are larger than the original 5 consecutive natural numbers by: $30-15=15$, on average each is larger by $15 \div 5=3$, so the new 5 consecutive natural numbers are: $1+3, 2+3, 3+3, 4+3, 5+3$, which are $4, 5, 6, 7, 8$; then combining the smallest and largest natural numbers can solve the problem.

【Solution】Solution: The numbers at the 5 vertices of the pentagram are counted twice, so the total sum of the 5 sums can be calculated as: $2 \times (1+2+3+4+5)=30$,

The sum of the original 5 natural numbers is: $1+2+3+4+5=15$,
The new 5 consecutive natural numbers are larger than the original 5 consecutive natural numbers by: $30-15=15$, on average each is larger by $15 \div 5=3$,

So the new 5 consecutive natural numbers are: $1+3, 2+3, 3+3, 4+3, 5+3$, which are $4, 5, 6, 7, 8$;
Observing these new 5 consecutive natural numbers, the smallest natural number 4 can only be $4=1+3$, and the largest natural number 8 can only be $5+3$. Based on this, the number “Hua” paired with “Bei” on a line segment could be 3 or 4, (the sum of 2 and 1 is not included in the new sums, 5 must be paired with 3).

Answer: “Hua” represents the number 3 or 4.
So the answer is: $3; 4$.