84:
74:
53:
22:
178:
This article is very biased towards the achievements of Arab mathematicians. I'm not saying that they didn't contribute a lot but it just reads like a defence of their contribtion rather than a objective article about the subject and its history. I would put up a banner at the top of the page saying
333:
The definition given seems to be the usual one, but seems to have a problem with primes. The sum of the proper divisors of any prime is 1 so all primes would be amicable, but they are not usually considered so (otherwise the first two sociable numbers would be 2 and 3). Should primes be specifically
273:
I added some of the information from
Mathworld and promoted to article to Start class. There is much more information that could be added from this source as well. The article on Thâbit's rule could also be expanded, however the article on Euler's rule has nothing new and could probably be merged
445:
I came to this article with the express hope that it could enlighten me in any way why I would care about these numbers. I see there is a distributed project to find them on boinc but why would anyone care to donate cpu cycles to such a project if the numbers themselves don't have any practical
274:
with this one. Given that the topic did rate an article in the 1911 EncyclopĂŚdia
Britannica and is the topic of several articles in Mathworld, and because of it's historical importance, I also raised the priority to Mid.--
162:"Also, every known pair shares at least one common factor": Isn't this obvious as 1 is always a common factor, or should it be at least two common factors? A nice homepage can be found under
140:
234:
I'm curious about the code and "pseudocode" in this article. This code doesn't add anything significant to the content: the algorithms are completely obvious from the definition of
429:
What is the significance of amicable numbers? Do they have any practical applications? Do they reveal any underlying science? Or are they just a trivial quirk of mathematics?
492:
130:
446:
uses? (As a counter example, another distributed search for
Optimal Golomb Rulers at least claims the numbers are useful for antenna arrangements.)
201:
There are, in particular, no proper references to specific pairs found by e.g. Ibn Qurra's formula. The article referenced in the linked article,
106:
487:
453:
436:
215:
202:
186:
300:
97:
58:
33:
314:
Who is "B. Nicolo I. Paganini"? This is clearly not the violinist and composer Niccolò Paganini, who died in 1840.
238:. Can anyone give a supporting argument for their presence? If not, I'll just go ahead and remove them. Cheers,
353:
7, therefore 7 is not an amicable number. None of the primes are, without needing to specifically exclude them.
457:
166:
440:
219:
190:
208:
On a separate note, there doesn't seem to be any contemporary evidence that
Pythagoras cared about these.
304:
39:
374:
339:
83:
449:
432:
296:
243:
211:
203:
https://www.ams.org/journals/mcom/1986-46-173/S0025-5718-1986-0815849-1/S0025-5718-1986-0815849-1.pdf
182:
398:
367:
Yes, sorry, brain fade. Should I remove the question, or leave it up for my perpetual embarrassment?
21:
319:
370:
335:
293:
Paganini is said to have made the discovery in 1860 and 1866. No doubt, his work took some time.
105:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
89:
73:
52:
349:
How so? The sum of the proper divisors of 7 is 1, but the sum of the proper divisors of 1 is
279:
258:
409:
402:
387:
357:
239:
315:
481:
469:
468:
No one said that they needed a practical use. It is to discover how the world is.
179:
that the neuterality of this article is disputed but I don't know how to do that.
275:
254:
102:
163:
406:
384:
354:
79:
472:
461:
414:
392:
378:
362:
343:
323:
308:
283:
262:
247:
223:
205:, does have some better references to secondary literature on this score.
194:
169:
15:
101:, a collaborative effort to improve the coverage of
383:Don't worry about it, we all have such moments.
405:- you may have been thinking of one of those.
8:
164:http://www.shyamsundergupta.com/amicable.htm
447:
430:
209:
47:
49:
19:
7:
95:This article is within the scope of
38:It is of interest to the following
14:
493:Low-priority mathematics articles
115:Knowledge:WikiProject Mathematics
118:Template:WikiProject Mathematics
82:
72:
51:
20:
135:This article has been rated as
1:
415:16:51, 11 November 2011 (UTC)
393:16:36, 11 November 2011 (UTC)
379:15:29, 11 November 2011 (UTC)
363:15:22, 11 November 2011 (UTC)
344:15:10, 11 November 2011 (UTC)
324:22:00, 10 February 2014 (UTC)
195:14:26, 18 December 2007 (UTC)
109:and see a list of open tasks.
488:C-Class mathematics articles
334:excluded in the definition?
284:17:14, 6 December 2008 (UTC)
263:16:55, 6 December 2008 (UTC)
224:15:59, 25 January 2021 (UTC)
170:09:54, 31 January 2007 (UTC)
443:) 09:52, 20 June 2019 (UTC)
309:11:27, 18 August 2009 (UTC)
509:
473:02:29, 11 March 2020 (UTC)
462:22:55, 10 March 2020 (UTC)
248:00:29, 18 June 2008 (UTC)
134:
67:
46:
141:project's priority scale
253:They've been deleted.--
98:WikiProject Mathematics
329:Gap in the definition?
28:This article is rated
167:Renger van Nieuwkoop
121:mathematics articles
90:Mathematics portal
34:content assessment
464:
452:comment added by
444:
435:comment added by
299:comment added by
226:
214:comment added by
197:
185:comment added by
155:
154:
151:
150:
147:
146:
500:
311:
269:Recent additions
180:
123:
122:
119:
116:
113:
92:
87:
86:
76:
69:
68:
63:
55:
48:
31:
25:
24:
16:
508:
507:
503:
502:
501:
499:
498:
497:
478:
477:
427:
412:
403:Friendly number
399:RuthâAaron pair
390:
360:
331:
294:
291:
271:
236:amicable number
232:
160:
120:
117:
114:
111:
110:
88:
81:
61:
32:on Knowledge's
29:
12:
11:
5:
506:
504:
496:
495:
490:
480:
479:
476:
475:
454:24.156.255.250
426:
423:
422:
421:
420:
419:
418:
417:
410:
395:
388:
368:
358:
330:
327:
290:
287:
270:
267:
266:
265:
231:
228:
199:
176:
174:
159:
156:
153:
152:
149:
148:
145:
144:
133:
127:
126:
124:
107:the discussion
94:
93:
77:
65:
64:
56:
44:
43:
37:
26:
13:
10:
9:
6:
4:
3:
2:
505:
494:
491:
489:
486:
485:
483:
474:
471:
467:
466:
465:
463:
459:
455:
451:
442:
438:
437:79.235.254.69
434:
424:
416:
413:
408:
404:
400:
397:But see also
396:
394:
391:
386:
382:
381:
380:
376:
372:
369:
366:
365:
364:
361:
356:
352:
348:
347:
346:
345:
341:
337:
328:
326:
325:
321:
317:
312:
310:
306:
302:
298:
288:
286:
285:
281:
277:
268:
264:
260:
256:
252:
251:
250:
249:
245:
241:
237:
229:
227:
225:
221:
217:
216:96.230.129.52
213:
206:
204:
198:
196:
192:
188:
187:81.144.251.46
184:
175:
172:
171:
168:
165:
157:
142:
138:
132:
129:
128:
125:
108:
104:
100:
99:
91:
85:
80:
78:
75:
71:
70:
66:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
448:â Preceding
431:â Preceding
428:
425:Significance
350:
332:
313:
301:86.137.170.8
292:
272:
235:
233:
210:â Preceding
207:
200:
177:
173:
161:
158:Old comments
137:Low-priority
136:
96:
62:Lowâpriority
40:WikiProjects
295:âPreceding
181:âPreceding
112:Mathematics
103:mathematics
59:Mathematics
482:Categories
240:Doctormatt
316:Jperrylsu
450:unsigned
433:unsigned
297:unsigned
289:Paganini
212:unsigned
183:unsigned
470:Bubba73
371:Digitig
336:Digitig
139:on the
30:C-class
276:RDBury
255:RDBury
36:scale.
407:OwenĂ
385:OwenĂ
355:OwenĂ
458:talk
441:talk
401:and
375:talk
340:talk
320:talk
305:talk
280:talk
259:talk
244:talk
230:Code
220:talk
191:talk
351:not
131:Low
484::
460:)
377:)
342:)
322:)
307:)
282:)
261:)
246:)
222:)
193:)
456:(
439:(
411:â
389:â
373:(
359:â
338:(
318:(
303:(
278:(
257:(
242:(
218:(
189:(
143:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
