pi'ei'oi

valsi

pi'ei'oi

type

experimental cmavo

creator

krtisfranks

time entered

Thu Jul 17 20:57:37 2014  

English

Definition #57128 - Preferred

 

selma'o

VUhU3

definition

mathematical ternary operator: prime-generating function.

notes

The a-th prime according to ordering rules b in ring c; contextless default for c is the standard/typical ring of integers (Z,+,*); contextless default for b is the standard typical ordering of the ring, which is the 'normal' absolute value (signless difference/distance with/from 0) for the standard ring (Z,+,*); thus, it will usually operate as an unary operator. The function must be defined over the set of strictly positive integers (or, more generally, ordinals) in/for the first operand; generalizations may be possible. Ignores units and 0. It begins counting at 1 in/for the first operand; under contextless default conditions, the outputs increase strictly monotonically with respect to increase in the first input [a], starting with the least prime in (Z,+,*), namely p_1 = 2. Usually denoted "p_i" or "Prime()" in the literature. See also: "fei'i", "pau'au".

gloss words

• nth prime ; p_n
• p_i ; ith prime number
• Prime()
• prime generating function
• prime-generating function
• prime number ; ith prime under some ordering

created by

krtisfranks

vote information

1

time

Thu Oct 27 05:47:08 2022

Examples

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