猜想:不存在两个长度为k且一共含有k个不同素因子的连续合数序列的素因子集合相等。例如 24 25 26 27 (2 3 5 13)
其余长度为4的连续合数序列要么素因子个数大于4 要么素因子集合不等于{2 3 5 13} 这个连续合数猜想的重大特定情况下的猜想。难度可与哥德巴赫猜想匹敌，非天才误入。再比如2 3 5 唯一决定了8 9 10 除此之外再无其他。总之经过计算机验证没有找到反例。
Attempt at translation of the main aspects:
Let $S$ be a set of positive integers. Denote by $$ P(S) := \{ p: p \text{ is a prime factor of some } s\in S\} $$ Example: $P(\{24,25,26,27\}) = \{2,3,5,13\}$.
Conjecture: if $S_1, S_2$ are two sets of $k$ consecutive composite positive integers, such that $P(S_1) = P(S_2)$ and $|P(S_1)| = k$, then $S_1= S_2$.
Computer searches have not yielded counterexamples.
