The discussion centers on the feasibility and challenges faced by high school students, particularly prodigies, in submitting mathematical discoveries to academia. It highlights that while students can submit work, they often lack the necessary guidance and knowledge to ensure their research is credible and properly formatted for academic journals. The conversation references historical anecdotes, such as the case of Abel and Fermat, to illustrate the difficulties young mathematicians may encounter. Concerns are raised about the ability of high school teachers to adequately supervise and support such submissions, given their potential lack of current knowledge in the field. The topic of plagiarism is also addressed, clarifying that unintentional similarities with existing research do not constitute plagiarism, but proper scholarship requires awareness of prior work. Ultimately, the discussion emphasizes the importance of understanding existing research and the rigorous standards expected in academic publishing, suggesting that significant contributions typically require extensive preparation and knowledge.