{"schema":"vela.problem-packet.v0.1","problem":913,"statement":"Are there infinitely many $n$ such that if\\[n(n+1) = \\prod_i p_i^{k_i}\\]is the factorisation into distinct primes then all exponents $k_i$ are distinct?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A359747","name":"Numbers k such that k*(k+1) has in its canonical prime factorization mutually distinct exponents.","terms":"1,3,4,7,8,16,24,27,31,48,63,71,72,107,108,124,127,199,242,243,256,400,431,432,499,512,576,647,783,863,967,971,1024,1151,","url":"https://oeis.org/A359747"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}