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"the primary prerequisite" is correct and usable in written English.
You can use it when you want to refer to a particular requirement that must be fulfilled in order to achieve something or move forward in a process. For example, "The primary prerequisite for achieving a successful outcome is completing the initial assignment on time."
Exact(6)
Satisfying the fatigue strength is the primary prerequisite for heat transfer enhancement.
Because the conformational change of aptamer upon its target or probe/target/probe sandwich often is the primary prerequisite for the design of an electrochemical aptameric assay system, it is extremely difficult to construct the electrochemical aptasensor for protein assay because the corresponding aptamers cannot often meet the requirement.
And while many require hundreds of logged hours before one can qualify, they're almost all simply paid courses where a credit card number is the primary prerequisite for submission.
This would challenge GDL's ability to represent guideline knowledge in general, which is the primary prerequisite for its success.
Internal consistency, as a measure of the extent to which a variable or set of variables is stable, constitutes the primary prerequisite.
The primary prerequisite is the ability to grow heterotrophically in an inexpensive, well-defined mineral medium with a high degree of resistance to mechanical and chemical stress.
Similar(53)
A primary prerequisite for conducting a comparative study is clearly the standardisation of underlying data collection methods, assumptions, definitions, and data in order to avoid inconsistencies.
Therefore, assessing people-forest interaction among communities living in and around forestlands is a primary prerequisite for initiating any NTFP-based intervention in Nigeria.
Thus, in conjunction with the induction of apoptosis in all four cell lines, L.obtusiloba extract exerts three primary prerequisites for the treatment of cancer [ 35, 36].
MiRNA-mediated cleavages (miR173 for TAS1 and TAS2, miR390 for TAS3, and miR828 for TAS4) of the primary TAS transcripts are the prerequisite for initiating ta-siRNA production.
However, applying reliable guidelines to the primary protection system is a prerequisite for a successful electromagnetic compatibility (EMC) design of the secondary protection system.
More suggestions(15)
the primary requirement
the main prerequisite
the primary qualification
the primary imperative
the primary premise
the major prerequisite
the primary subject
the primary condition
the primary precursor
the first prerequisite
the fundamental prerequisite
the primary requirements
the key prerequisite
the predominant prerequisite
the primary essential
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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