In dementia research, so many paths have led nowhere that any glimmer of optimism is noteworthy.

So some experts are heralding the results of a large new study, which found that people with hypertension who received intensive treatment to lower their blood pressure were less likely than those receiving standard blood pressure treatment to develop minor memory and thinking problems that often progress to dementia.

The study, published Monday in JAMA, is the first large, randomized clinical trial to find something that can help many older people reduce their risk of mild cognitive impairment — an early stage of faltering function and memory that is a frequent precursor to Alzheimer’s disease and other dementias.

The results apply only to those age 50 or older who have elevated blood pressure and who do not have diabetes or a history of stroke. But that’s a condition affecting a lot of people — more than 75 percent of people over 65 have hypertension, the study said. So millions might eventually benefit by reducing not only their risk of heart problems but of cognitive decline, too.

“It’s kind of remarkable that they found something,” said Dr. Kristine Yaffe, a professor of psychiatry and neurology at University of California San Francisco, who was not involved in the research. “I think it actually is very exciting because it tells us that by improving vascular health in a comprehensive way, we could actually have an effect on brain health.”