@Samu93,
Racing cyclists pump up their tyres rock hard anyway because the roads are generally excellent with no bumps to cause discomfort.
But punctures still do occur even on excellent roads, so the answer would be a solid rubber tyre, but racers are put off because it'd be heavier than a pneumatic tyre.
However, not everybody is a racer and I'm sure the average cycling mum dad and kids would happily buy solid tyres knowing they'd never suffer a puncture again.
So whoever markets a solid tyre will become a millionnaire overnight..