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Talk:Amicable numbers

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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
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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
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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
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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
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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.--
173:"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 151: 245:
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
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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?
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uses? (As a counter example, another distributed search for Optimal Golomb Rulers at least claims the numbers are useful for antenna arrangements.)
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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,
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Who is "B. Nicolo I. Paganini"? This is clearly not the violinist and composer Niccolò Paganini, who died in 1840.
249:. Can anyone give a supporting argument for their presence? If not, I'll just go ahead and remove them. Cheers, 364:
7, therefore 7 is not an amicable number. None of the primes are, without needing to specifically exclude them.
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On a separate note, there doesn't seem to be any contemporary evidence that Pythagoras cared about these.
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https://www.ams.org/journals/mcom/1986-46-173/S0025-5718-1986-0815849-1/S0025-5718-1986-0815849-1.pdf
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Yes, sorry, brain fade. Should I remove the question, or leave it up for my perpetual embarrassment?
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Paganini is said to have made the discovery in 1860 and 1866. No doubt, his work took some time.
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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How so? The sum of the proper divisors of 7 is 1, but the sum of the proper divisors of 1 is
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No one said that they needed a practical use. It is to discover how the world is.
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that the neuterality of this article is disputed but I don't know how to do that.
286: 265: 113: 174: 417: 395: 365: 90: 483: 472: 425: 403: 389: 373: 354: 334: 319: 294: 273: 258: 234: 216:, does have some better references to secondary literature on this score. 205: 180: 26: 112:, a collaborative effort to improve the coverage of 394:Don't worry about it, we all have such moments. 416:- you may have been thinking of one of those. 8: 175:http://www.shyamsundergupta.com/amicable.htm 458: 441: 220: 58: 60: 30: 7: 106:This article is within the scope of 49:It is of interest to the following 25: 504:Low-priority mathematics articles 126:Knowledge:WikiProject Mathematics 129:Template:WikiProject Mathematics 93: 83: 62: 31: 146:This article has been rated as 1: 426:16:51, 11 November 2011 (UTC) 404:16:36, 11 November 2011 (UTC) 390:15:29, 11 November 2011 (UTC) 374:15:22, 11 November 2011 (UTC) 355:15:10, 11 November 2011 (UTC) 335:22:00, 10 February 2014 (UTC) 206:14:26, 18 December 2007 (UTC) 120:and see a list of open tasks. 499:C-Class mathematics articles 345:excluded in the definition? 295:17:14, 6 December 2008 (UTC) 274:16:55, 6 December 2008 (UTC) 235:15:59, 25 January 2021 (UTC) 181:09:54, 31 January 2007 (UTC) 454:) 09:52, 20 June 2019 (UTC) 320:11:27, 18 August 2009 (UTC) 520: 484:02:29, 11 March 2020 (UTC) 473:22:55, 10 March 2020 (UTC) 259:00:29, 18 June 2008 (UTC) 145: 78: 57: 152:project's priority scale 264:They've been deleted.-- 109:WikiProject Mathematics 340:Gap in the definition? 39:This article is rated 178:Renger van Nieuwkoop 132:mathematics articles 18:Talk:Amicable number 101:Mathematics portal 45:content assessment 475: 463:comment added by 455: 446:comment added by 310:comment added by 237: 225:comment added by 208: 196:comment added by 166: 165: 162: 161: 158: 157: 16:(Redirected from 511: 322: 280:Recent additions 191: 134: 133: 130: 127: 124: 103: 98: 97: 87: 80: 79: 74: 66: 59: 42: 36: 35: 27: 21: 519: 518: 514: 513: 512: 510: 509: 508: 489: 488: 438: 423: 414:Friendly number 410:Ruth–Aaron pair 401: 371: 342: 305: 302: 282: 247:amicable number 243: 171: 131: 128: 125: 122: 121: 99: 92: 72: 43:on Knowledge's 40: 23: 22: 15: 12: 11: 5: 517: 515: 507: 506: 501: 491: 490: 487: 486: 465:24.156.255.250 437: 434: 433: 432: 431: 430: 429: 428: 421: 406: 399: 379: 369: 341: 338: 301: 298: 281: 278: 277: 276: 242: 239: 210: 187: 185: 170: 167: 164: 163: 160: 159: 156: 155: 144: 138: 137: 135: 118:the discussion 105: 104: 88: 76: 75: 67: 55: 54: 48: 37: 24: 14: 13: 10: 9: 6: 4: 3: 2: 516: 505: 502: 500: 497: 496: 494: 485: 482: 478: 477: 476: 474: 470: 466: 462: 453: 449: 448:79.235.254.69 445: 435: 427: 424: 419: 415: 411: 408:But see also 407: 405: 402: 397: 393: 392: 391: 387: 383: 380: 377: 376: 375: 372: 367: 363: 359: 358: 357: 356: 352: 348: 339: 337: 336: 332: 328: 323: 321: 317: 313: 309: 299: 297: 296: 292: 288: 279: 275: 271: 267: 263: 262: 261: 260: 256: 252: 248: 240: 238: 236: 232: 228: 227:96.230.129.52 224: 217: 215: 209: 207: 203: 199: 198:81.144.251.46 195: 186: 183: 182: 179: 176: 168: 153: 149: 143: 140: 139: 136: 119: 115: 111: 110: 102: 96: 91: 89: 86: 82: 81: 77: 71: 68: 65: 61: 56: 52: 46: 38: 34: 29: 28: 19: 459:— Preceding 442:— Preceding 439: 436:Significance 361: 343: 324: 312:86.137.170.8 303: 283: 246: 244: 221:— Preceding 218: 211: 188: 184: 172: 169:Old comments 148:Low-priority 147: 107: 73:Low‑priority 51:WikiProjects 306:—Preceding 192:—Preceding 123:Mathematics 114:mathematics 70:Mathematics 493:Categories 251:Doctormatt 327:Jperrylsu 461:unsigned 444:unsigned 308:unsigned 300:Paganini 223:unsigned 194:unsigned 481:Bubba73 382:Digitig 347:Digitig 150:on the 41:C-class 287:RDBury 266:RDBury 47:scale. 418:Owen× 396:Owen× 366:Owen× 469:talk 452:talk 412:and 386:talk 351:talk 331:talk 316:talk 291:talk 270:talk 255:talk 241:Code 231:talk 202:talk 362:not 142:Low 495:: 471:) 388:) 353:) 333:) 318:) 293:) 272:) 257:) 233:) 204:) 467:( 450:( 422:☎ 400:☎ 384:( 370:☎ 349:( 329:( 314:( 289:( 268:( 253:( 229:( 200:( 154:. 53:: 20:)

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Talk:Amicable number

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http://www.shyamsundergupta.com/amicable.htm
Renger van Nieuwkoop
09:54, 31 January 2007 (UTC)
unsigned
81.144.251.46
talk
14:26, 18 December 2007 (UTC)
https://www.ams.org/journals/mcom/1986-46-173/S0025-5718-1986-0815849-1/S0025-5718-1986-0815849-1.pdf
unsigned
96.230.129.52
talk
15:59, 25 January 2021 (UTC)
Doctormatt
talk
00:29, 18 June 2008 (UTC)
RDBury

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