Sentence examples similar to crucial problem lies from inspiring English sources

But in 1994, after realizing that Simon's oracle can be harnessed to solve a much more interesting and crucial problem, namely factoring, which lies at the heart of current cryptographic protocols such as the RSA (Rivest 1978), Peter Shor has turned quantum computing into one of the most exciting research domains in quantum mechanics.

But it's not the crucial problem.

My big problem lies elsewhere.

"The problem lies elsewhere, though.

The problem lies in preparedness.

But the real problem lies with (3).

Its problem lies much deeper.

The problem lies within.

The problem lay in communication.

And where does the problem lie?

Your problems lie elsewhere.