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The phrase "a number of primary" is correct and usable in written English.
It can be used when referring to several main or essential items, concepts, or categories in a specific context.
Example: "In our research, we identified a number of primary factors that influence climate change."
Alternatives: "several key" or "multiple main".
Exact(60)
Film Education, which is aimed at the same audience, is about to roll out a number of primary Picturacy titles focusing on the relationship between shot, sequence and text.
So far, we have published more than 20 quality standards, including a number of primary care related topics like diabetes, dementia, chronic kidney disease and chronic obstructive pulmonary disease.
Apart from the military schools and the traditional religious schools, a number of primary and secondary schools were opened by the government and by foreign Roman Catholic, Protestant, and Jewish missionary organizations.
Faced with worsening financial pressures, a number of primary care trusts have stopped providing IVF altogether – despite national recommendations which entitle couples who meet the medical and demographic criteria to three free cycles.
They include congenital anomalies and hereditary disorders; diseases of connective tissue; tuberculosis; the effects of diabetes and other metabolic disorders; and a number of primary disorders of the kidney tubules.
A number of primary posts as well.
Additionally, a transition through a number of primary longitudinal resonances takes place during the wind.
Moray councillors have agreed to reappoint principal teachers in a number of primary schools.
Moray councillors recently agreed to reappoint principal teachers in a number of primary schools.
Dairy products manufacturing requires a number of primary inputs such as raw milk, ingredients, chemicals, energy carriers and water.
This section contains a number of primary results in [8] which are crucial to the study of our problem.
More suggestions(15)
a number of fundamental
a proportion of primary
a number of elementary
a prevalence of primary
a number of mains
a number of junior
a number of parents
a number of premier
a number of frontline
a number of leading
a number of predominant
a number of grass roots
a number of key
a number of foremost
a source of primary
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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