The difference between First and Prime

First as an adjective:

Preceding all others of a series or kind; the ordinal of one; earliest.

First as an adjective:

Most eminent or exalted; most excellent; chief; highest.

First as an adverb:

Before anything else; firstly.

First as a noun (uncountable):

The person or thing in the first position.

First as a noun (uncountable):

The first gear of an engine.

First as a noun (countable):

Something that has never happened before; a new occurrence.

First as a noun (countable, baseball):

first base

First as a noun (countable, British, colloquial):

A first-class honours degree.

First as a noun (countable, colloquial):

A first-edition copy of some publication.

First as a noun:

A fraction of an integer ending in one.

First as a noun (obsolete):

Time; time granted; respite.

Prime as an adjective:

First in importance, degree, or rank.

Prime as an adjective:

First in time, order, or sequence.

Prime as an adjective:

First in excellence, quality, or value.

Prime as an adjective (mathematics, lay):

Having exactly two integral factors: itself and unity (1 in the case of integers).

Prime as an adjective (mathematics, technical):

Such that if it divides a product, it divides one of the multiplicands.

Prime as an adjective (mathematics):

Having its complement closed under multiplication: said only of ideals.

Prime as an adjective:

Marked or distinguished by the prime symbol.

Prime as an adjective:

Early; blooming; being in the first stage.

Prime as an adjective (obsolete):

Lecherous; lustful; lewd.

Prime as a noun (historical):

The first hour of daylight; the first canonical hour.

Prime as a noun (Christianity):

The religious service appointed to this hour.

Prime as a noun (obsolete):

The early morning generally.

Prime as a noun (now, _, rare):

The earliest stage of something.

Prime as a noun:

The most active, thriving, or successful stage or period.

Prime as a noun:

The chief or best individual or part.

Prime as a noun (music):

The first note or tone of a musical scale.

Prime as a noun (fencing):

The first defensive position, with the sword hand held at head height, and the tip of the sword at head height.

Prime as a noun (algebra, number theory):

A prime element of a mathematical structure, particularly a prime number.

Prime as a noun (card games):

A four-card hand containing one card of each suit in the game of primero; the opposite of a flush in poker.

Prime as a noun (backgammon):

Six consecutive blocks, which prevent the opponent's pieces from passing.

Prime as a noun:

The symbol ′ used to indicate feet, minutes, derivation and other measures and mathematical operations.

Prime as a noun (chemistry, obsolete):

Any number expressing the combining weight or equivalent of any particular element; so called because these numbers were respectively reduced to their lowest relative terms on the fixed standard of hydrogen as 1.

Prime as a noun:

An inch, as composed of twelve seconds in the duodecimal system.

Prime as a noun (obsolete):

The priming in a flintlock.

Prime as a noun (film):

Contraction of prime lens, a film lens

Prime as a verb (transitive):

To prepare a mechanism for its main work.

Prime as a verb (transitive):

To apply a coat of primer paint to.

Prime as a verb (obsolete, intransitive):

To be renewed.

Prime as a verb (intransitive):

To serve as priming for the charge of a gun.

Prime as a verb (intransitive, of a steam boiler):

To work so that foaming occurs from too violent ebullition, which causes water to become mixed with, and be carried along with, the steam that is formed.

Prime as a verb:

To apply priming to (a musket or cannon); to apply a primer to (a metallic cartridge).

Prime as a verb:

To prepare; to make ready; to instruct beforehand; to coach.

Prime as a verb (UK, dialect, obsolete):

To trim or prune.

Prime as a verb (math):

To mark with a prime mark.

Prime as a noun (cycling):

An intermediate sprint within a race, usually offering a prize and/or points.