A prime field is a field with no proper subfields. Every field contains a unique prime
subfield, which is isomorphic to the field
of rational numbers 
in field characteristic
zero, or to the finite field 
in field characteristic 
, where 
is prime (Milne 2022, p. 9).
Prime Field
See also
Finite Field, Prime Subfield, SubfieldExplore with Wolfram|Alpha
References
Milne, J. S. Fields and Galois Theory. Version 5.10, Sep. 2022. https://www.jmilne.org/math/CourseNotes/FT.pdf.Referenced on Wolfram|Alpha
Prime FieldCite this as:
Weisstein, Eric W. "Prime Field." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PrimeField.html