{"schema":"vela.problem-packet.v0.1","problem":364,"statement":"Are there any triples of consecutive positive integers all of which are powerful (i.e. if $p\\mid n$ then $p^2\\mid n$)?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A060355","name":"Numbers k such that k and k+1 are powerful numbers.","terms":"8,288,675,9800,12167,235224,332928,465124,1825200,11309768,384199200,592192224,4931691075,5425069447,13051463048,2213222","url":"https://oeis.org/A060355"},{"id":"A076445","name":"The smaller of a pair of powerful numbers (A001694) that differ by 2.","terms":"25,70225,130576327,189750625,512706121225,13837575261123,99612037019889,1385331749802025,3743165875258953025,10114032809","url":"https://oeis.org/A076445"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}