30: Difference between revisions

Revision as of 01:00, 23 June 2012

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The factorization is as follows, with factors 2, 3, and 5:

$30 = 2^{1} \cdot 3^{1} \cdot 5^{1} = 2 \cdot 3 \cdot 5$

Property or family	Parameter values	First few members of the family	Proof of satisfaction/membership/containment
Giuga number: composite number $n$ such that $p$ divides $(n / p) - 1$ for all prime divisors $p$ of $n$ .	first Giuga number	30, 858, 1722, 66198, [SHOW MORE] 2214408306, 24423128562, 432749205173838, 14737133470010574, 550843391309130318, 244197000982499715087866346, 554079914617070801288578559178, 1910667181420507984555759916338506 View list on OEIS	check on each prime divisor: 2 divides (30/2) - 1 = 14 3 divides (30/3) - 1 = 9 5 divides 30/5 - 1 = 5

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 ! Property or family !! Parameter values !! First few members of the family !! Proof of satisfaction/membership/containment
 |-
-| [[Giuga number]]: composite number <math>n</math> such that <math>p</math> divides <math>(n/p) - 1</math> for all prime divisors <math>p</math> of <math>n</math>. || first Giuga number || {{#lst:Giuga number|list}} || check on each prime divisor:<br>2 divides (30/2) - 1 = 14<br>3 divides (30/3) - 1 = 9<br>5 divides 30/5 - 1 = 6
+| [[Giuga number]]: composite number <math>n</math> such that <math>p</math> divides <math>(n/p) - 1</math> for all prime divisors <math>p</math> of <math>n</math>. || first Giuga number || {{#lst:Giuga number|list}} || check on each prime divisor:<br>2 divides (30/2) - 1 = 14<br>3 divides (30/3) - 1 = 9<br>5 divides 30/5 - 1 = 5
 |}