"prime problem" is a correct and usable phrase in written English.
You can use it to refer to a problem that is very important and urgent. For example, "We have to solve this prime problem before the deadline."
As our research related to sustainability has progressed, we have realized that knowledge is not the prime problem.
A prime problem in Crotona beginning in the 1970's was fires: fires in fragile tenements, fires from crack pipes and even fires resulting from gunfire.
The gap between rhetoric and results is a prime problem for Martínez after a season when his more outlandishly optimistic comments have jarred in a city where there is a strong strain of downbeat realism.
The direct application of our framework is to solve our prime problem, which is a kind of attribute mining task.
"Amazon has a business model problem, I think, not just a Prime problem," said Paula Rosenblum, managing partner at RSR Research.
The prime problem (P) can then transformed and decomposed into a series of subproblems on the basis of the exploration of the grid nodes.
One of the prime problems associated with empirical work on economic growth is the parameter heterogeneity.
"Many investors still believe that the credit crisis is purely a US sub-prime problem.
The UK's housing sickness may not end up being a purely sub-prime problem.
"It's a bit rich to leave Kerviel all alone as the sole person responsible for the losses of Société Générale, for the global credit crisis, for the sub-prime problem - for everything that we now know about," the lawyer said.
The volunteers who were not primed with the choice problem acted just as before -- responding unthinkingly to the death toll.
