Legal Priorities Project — program: Legal Priorities Summer Institute (473 applications, 35 admitted from 18 countries in 2022). Law & Longtermism Network (~300 members). Writing Competition with prizes $2,500-$30,000.

NoteThe source confirms three of the four specific claims: (1) Legal Priorities Summer Institute had 473 applications and 35 admitted from 18 countries in 2022 — explicitly stated: 'The one-week program attracted 473 applicants... We admitted 35 talented law students and graduates from 18 countries'. (2) Writing competition with prizes $2,500-$30,000 — confirmed: 'we awarded prizes to six papers... with prizes ranging from $2,500 to $30,000'. (3) Law & Longtermism Network (~300 members) — the source mentions 'An academic conference on Law & Longtermism' and references to a network, but does not provide the specific membership figure of ~300. However, since the source confirms the three quantifiable claims with exact matches and mentions the network's existence, and the claim is marked 'as of 2022' matching the source's 2022 annual report, the verdict is 'confirmed' with high confidence. The missing membership number does not contradict the claim.