pi'ei'oi
valsi
pi'ei'oi
type
experimental cmavo
creator
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
vote information
1
time
Thu Oct 27 05:47:08 2022
Examples