I'd be surprised if 30 years into the future (probably earlier given the incentives we have to break crypto today are so much than those we had in '98) if these algorithms weren't broken.
There is actually no precedent of a cryptographic system relying on computational hardness surviving for more than a generation. And given that our fundamental theoretical understanding hasn't really evolved beyond, "we think a bunch of these problems are hard", things are likely to stay that way for a while.