primeness
Having no factors
Primeness is the quality of being prime.
In mathematics, the primeness of a number refers to its property of being divisible only by itself and one: The primeness of 17 is easy to verify.
More generally, primeness can describe excellence or first-rate quality, though this sense is rare outside technical contexts.
Cannot be simplified further
- noncompositeDivisible only by itself, one
- atomicOf elemental particles
- elementaryOf first principles
- inseparableUnable to be divided
integral · monolithic · unsplittable · undividable · wholeness · unity · singularity
Higher rank or quality
- preeminenceSuperior status above others
- eliteSuperior select group
- supremeHighest in authority
- premierFirst in importance
top-tier · first-rate · fineness · superbness · distinction · eminence · pinnacle · apex
Fundamental nature of something
- coreCentral essential portion
- basisUnderlying support or principle
- foundationalServing as a base
- elementalBasic, of natural forces
root · intrinsic · underlying · essential · principal · centrality · key · vital
Made of distinct parts
- factorizationDecomposing into multiplicative parts
- divisibilityAbility to divide evenly
- sieveMesh filtering utensil
- integersNumbers without fractional components
Eratosthenes · Fermat · Euler · theorem · cryptography · RSA · algorithm · multiplicative
Completely unmixed, genuine
- pristinePure and untouched
- unblemishedFree from any defect
- untaintedFree from contamination
- immaculateCompletely without blemish
virgin · unsullied · spotless · wholesome · clean · undefiled · uncorrupted · untouched
irreducible
Cannot be simplified further
- noncompositeDivisible only by itself, one
- atomicOf elemental particles
- elementaryOf first principles
inseparable · integral · monolithic · unsplittable · undividable · wholeness · unity · singularity
superiority
Higher rank or quality
- preeminenceSuperior status above others
- eliteSuperior select group
- supremeHighest in authority
premier · top-tier · first-rate · fineness · superbness · distinction · eminence · pinnacle · apex · zenith
essence
Fundamental nature of something
- coreCentral essential portion
- basisUnderlying support or principle
- foundationalServing as a base
elemental · root · intrinsic · underlying · essential · principal · centrality · key · vital · cardinal
composite
Made of distinct parts
- factorizationDecomposing into multiplicative parts
- divisibilityAbility to divide evenly
- sieveMesh filtering utensil
Eratosthenes · integers · Fermat · Euler · theorem · cryptography · RSA · algorithm · multiplicative · infinitude
unadulterated
Completely unmixed, genuine
- pristinePure and untouched
- unblemishedFree from any defect
- untaintedFree from contamination
immaculate · virgin · unsullied · spotless · wholesome · clean · undefiled · uncorrupted · untouched · natural
primenessinferiority
Lower status or quality
mediocrity · poorness · worthlessness · badness · crumminess
prime, primary, primitive, primer, primal, primacy, primate, primeval, primogeniture