Quantum redactiones paginae "Numerus quadratus" differant

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=== De visu ===
Numerus ''n'' est quadratus solum si ''n'' puncta in [[quadrum|quadro]] ordinentur:
{| class="wikitable" cellpadding="8"
|1<sup>2</sup> = 1
|[[Fasciculus:Square number 1.png|1 = 1<sup>2</sup>]]
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|-
|3<sup>2</sup> = 9
!
|= [[Fasciculus:Square number 9.png|9 = 3<sup>2</sup>]]DDDDDDDDDD =
|-
|4<sup>2</sup> = 16
|[[Fasciculus:Square number 16Square_number_16.png|16 alt= 4<sup>2</sup>|center|thumb|WWWEEEE]]
|-
|5<sup>2</sup> = 25
|
|== [[Fasciculus:Square number 25.png|25 = 5<sup>2</sup>|alt=|frameless|200x200px]]WEE ==
{{Frageoloc}}
|}
 
=== Formulae et res pertinentes ===
Formula pro ''n'' numero quadrato est ''n''<sup>2</sup>. Etiam haec aequat summam primorum ''n'' [[numerus impar|numerorum imparum]] (<math>n^2 = \sum_{k=1}^n(2k-1)</math>), ut possit videre super in picturis, ubi quadratus factus est impari numero punctorum addito (notatus ''+'').\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{a\check{\check{\check{
I \ln\ln\ln\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{\grave{a}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}
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\grave{\grave{
\grave{\grave{a}}
}}</math>), ut possit videre super in picturis, ubi quadratus factus est impari numero punctorum addito (notatus ''+'').
E.g., 5<sup>2</sup> = 25 = 1 + 3 + 5 + 7 + 9.
 
Line 87 ⟶ 99:
:17<sup>2</sup> = 289
:18<sup>2</sup> = 324
:19<sup>2GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG[[GGGGGGGGGGGGGGGGGG]]GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGTGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG[[Feles|GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG]]</sup> [[Feles|= 361]]
:19<sup>2</sup> = 361
:[[Feles|20<sup>2</sup> = 400]]
</div>
 
<div style="float:left; padding: 1em;">
:[[Feles|21<sup>2</sup> = 441]]
:[[Feles|22<sup>2</sup> = 484]]
:[[Feles|23<sup>2</sup> = 529]]
:[[Feles|24<sup>2</sup> = 576]]
:[[Feles|25<sup>2</sup> = 625]]
:[[Feles|26<sup>2</sup> = 676]]
:[[Feles|27<sup>2</sup> = 729]]
:[[Feles|28<sup>2</sup> = 784]]
:[[Feles|29<sup>2</sup> = 841]]
:[[Feles|30<sup>2</sup> = 900]]
</div>
 
<div style="float:left; padding: 1em;">
:[[Feles|31<sup>2</sup> = 961]]
:[[Feles|32<sup>2</sup> = 1024]]
:[[Feles|33<sup>2</sup> = 1089]]
:[[Feles|34<sup>2</sup> = 1156]]
:[[Feles|35<sup>2</sup> = 1225]]
:[[Feles|36<sup>2</sup> = 1296]]
:[[Feles|37<sup>2</sup> = 1369]]
:[[Feles|38<sup>2</sup> = 1444]]
:[[Feles|39<sup>2</sup> = 1521]]
:[[Feles|40<sup>2</sup> = 1600]]
</div>
 
<div style="float:left; padding: 1em;">
:[[Feles|41<sup>2</sup> = 1681]]
:[[Feles|42<sup>2</sup> = 1764]]
:[[Feles|43<sup>2</sup> = 1849]]
:[[Feles|44<sup>2</sup> = 1936]]
:[[Feles|45<sup>2</sup> = 2025]]
:[[Feles|46<sup>2</sup> = 2116]]
:[[Feles|47<sup>2</sup> = 2209]]
:[[Feles|48<sup>2</sup> = 2304]]
:[[Feles|49<sup>2</sup> = 2401]]
:[[Feles|50<sup>2</sup> = 2500]]
</div>
{{-}}
 
 
HGF
<!--
==Chen's theorem==
[[Chen Jingrun]] showed in 1975 that there always exists a number P which is either a [[prime number|prime]] or [[semiprime|product of two primes]] between n<sup>2</sup> and (n+1)<sup>2</sup>.
-->
 
{{NexInt}}