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The phrase "a particularly difficult problem" is correct and usable in written English.
You can use it when describing a problem that is notably challenging or complex in nature.
Example: "The team faced a particularly difficult problem when trying to integrate the new software with the existing system."
Alternatives: "an especially challenging issue" or "a notably tough challenge".
Exact(18)
Pakistan poses a particularly difficult problem.
NEW YORK has been a particularly difficult problem for Oakley and other companies.
Chronic pain is a particularly difficult problem to understand and solve.
"This is a particularly difficult problem for social networks in general.
Privately, senior Tories admit that they have a particularly difficult problem attracting support from minority ethnic voters, which could even cost them the next election.
The teenagers staffing the post slid their eyes down the long list of names as though working a particularly difficult problem on an AP statistics test.
Similar(41)
The instructor also answered questions and worked through any particularly difficult problems that students requested in the class period following the due date.
Overwhelmed – a single particularly difficult problem or a flood of hassles and complications can lead to intense frustration and mental blocks.
One particularly difficult problem was the sequence of chapters, which, although suggested by some of his father's notations, was not always clear.
Turing decided to tackle the particularly difficult problem of German naval Enigma "because no one else was doing anything about it and I could have it to myself".
One particularly difficult problem is assessing tooth wear in the deciduous dentition where the tooth structure withstands the forces of tooth wear somewhat less than the permanent dentition.
More suggestions(16)
a particularly difficult dilemma
a particularly knotty problem
a particularly delicate problem
a particularly troublesome problem
a very difficult problem
a particularly challenging problem
a particularly difficult challenge
a particularly sticky problem
a particularly difficult subject
a particularly difficult predicament
a particularly tricky problem
a particularly serious problem
a particularly difficult month
a particularly difficult jump
a particularly big problem
a particularly difficult truth
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com