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"a first number of" is a grammatically correct phrase and can be used in written English.
It is often used to indicate the beginning or initial quantity of something. Example: "A first number of students arrived early for the field trip." In this sentence, "a first number of" indicates the initial group or quantity of students who arrived early. It implies that more students may arrive later.
Exact(1)
To ensure a largest sample size, a theoretical STI prevalence of 50% was used to calculate a first number of 600 participants.
Similar(59)
Frustration runs like a humming wire through the seventh number of In Ruhleben Camp, published on 12 September ,1915.
Find the third number of the combination.
Each pulse lasts approximately one-tenth of a second; the number of pulses signals the number being dialed.
But it is a little more than a tenth the number of the foreign-born population in the United States.
The hospital in Athens has less than a tenth the number of beds that my hospital in Boston has.
That expands by about a third the number of people voting on nominations in the acting categories, Mr. Leverence said.
The organic farm also has a tenth the number of birds but covers at least four times the area.
The fourth to sixth numbers of a US or Canadian phone number represent the exchange code.
First, a number of parents brought in their teen children to vote for the first time.
First, a number of hard questions need addressing.
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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