Home prime - Wikipedia
WEBHome prime. In number theory, the home prime HP ( n) of an integer n greater than 1 is the prime number obtained by repeatedly factoring the increasing concatenation of prime factors including repetitions. The m th intermediate stage in the process of determining HP ( n) is designated HPn ( m ).
Home Prime -- from Wolfram MathWorld
WEBAug 22, 2024 · The prime HP(n) reached starting from a number n, concatenating its prime factors, and repeating until a prime is reached. For example, for n=9, 9=3·3->33=3·11->311, so 311 is the home prime of 9.
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Home prime - PlanetMath.org
WEBFeb 9, 2018 · Home prime. The home prime of a number is found by repeated concatenation of its prime factors until a prime number is obtained. For example, the home prime of 9 is 311 since 9 = 3*3 giving 33 which is composite; 33 = 3*11 giving 311 which is a prime number.
Information about Home Primes - Mathematics Stack Exchange
WEBMar 29, 2021 · A Home Prime is the terminating prime in a sequence in concatenating the prime divisors of a number. This may sound very abstract but an example will do. lets take 49 49 = 7x7 therefore we write it as 77.
Home primes - OeisWiki - The On-Line Encyclopedia of Integer …
WEBSep 29, 2011 · The home prime for a given composite number is the prime number reached after iterated reinterpretation as a new number of the previous number's prime factorization stated in ascending order and with multiplicity (a prime number is …
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