{"schema":"vela.problem-packet.v0.1","problem":1055,"statement":"A prime $p$ is in class $1$ if the only prime divisors of $p+1$ are $2$ or $3$. In general, a prime $p$ is in class $r$ if every prime factor of $p+1$ is in some class $\\leq r-1$, with equality for at least one prime factor.Are there infinitely many primes in each class? If $p_r$ is the least prime in class $r$, then how does $p_r^{1/r}$ behave?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A005113","name":"Smallest prime in class n (sometimes written n+) according to the Erdős-Selfridge classification of primes.","terms":"2,13,37,73,1021,2917,15013,49681,532801,1065601,8524807,68198461,545587687,1704961513,23869461181,288310406533,183317462","url":"https://oeis.org/A005113"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}