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Euler's Totient Function for n = 83001..84000
Euler's Totient Function for n = 83001..84000
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Euler's totient function (also known as the "phi function") counts the number of natural integers less than n that are coprime to n. It is very useful in number theory, e.g. to compute the number of primitive roots modulo a prime n. For more information, see:
- Wikipedia
- Encyclopedia of Mathematics
-
Lindsay N. Childs, A Concrete Introduction to Higher Algebra,
3rd ed., Springer, 2009, pp. 111 and 179-180.
-
G.H. Hardy and E.M. Wright, An Introduction to the Theory
of Numbers, 6th ed., Oxford University Press, 2008, pp. 63-65.
The values presented below were computed in 2015 using a Python program.
n |
83001 |
83002 |
83003 |
83004 |
83005 |
83006 |
83007 |
83008 |
83009 |
83010 |
φ(n) |
54432 |
40572 |
83002 |
27664 |
61248 |
32340 |
52800 |
41472 |
83008 |
22128 |
|
|
|
|
|
|
|
|
|
|
|
n |
83011 |
83012 |
83013 |
83014 |
83015 |
83016 |
83017 |
83018 |
83019 |
83020 |
φ(n) |
73728 |
41504 |
45936 |
41506 |
66408 |
27648 |
75460 |
36720 |
55344 |
28416 |
|
|
|
|
|
|
|
|
|
|
|
n |
83021 |
83022 |
83023 |
83024 |
83025 |
83026 |
83027 |
83028 |
83029 |
83030 |
φ(n) |
81600 |
27200 |
83022 |
41504 |
43200 |
41512 |
68544 |
23040 |
81900 |
30096 |
|
|
|
|
|
|
|
|
|
|
|
n |
83031 |
83032 |
83033 |
83034 |
83035 |
83036 |
83037 |
83038 |
83039 |
83040 |
φ(n) |
51072 |
40704 |
81060 |
23688 |
66424 |
41516 |
54560 |
41518 |
75480 |
22016 |
|
|
|
|
|
|
|
|
|
|
|
n |
83041 |
83042 |
83043 |
83044 |
83045 |
83046 |
83047 |
83048 |
83049 |
83050 |
φ(n) |
71172 |
41520 |
55356 |
38304 |
62464 |
27680 |
83046 |
35568 |
49680 |
30000 |
|
|
|
|
|
|
|
|
|
|
|
n |
83051 |
83052 |
83053 |
83054 |
83055 |
83056 |
83057 |
83058 |
83059 |
83060 |
φ(n) |
81432 |
27648 |
78936 |
41080 |
37632 |
39872 |
76656 |
27216 |
83058 |
33216 |
|
|
|
|
|
|
|
|
|
|
|
n |
83061 |
83062 |
83063 |
83064 |
83065 |
83066 |
83067 |
83068 |
83069 |
83070 |
φ(n) |
50280 |
33408 |
83062 |
27680 |
64512 |
40480 |
55376 |
39312 |
71196 |
20160 |
|
|
|
|
|
|
|
|
|
|
|
n |
83071 |
83072 |
83073 |
83074 |
83075 |
83076 |
83077 |
83078 |
83079 |
83080 |
φ(n) |
83070 |
37120 |
55380 |
40896 |
66440 |
22176 |
83076 |
41538 |
51840 |
31680 |
|
|
|
|
|
|
|
|
|
|
|
n |
83081 |
83082 |
83083 |
83084 |
83085 |
83086 |
83087 |
83088 |
83089 |
83090 |
φ(n) |
82500 |
27120 |
59040 |
41540 |
42560 |
41542 |
78696 |
27648 |
83088 |
28464 |
|
|
|
|
|
|
|
|
|
|
|
n |
83091 |
83092 |
83093 |
83094 |
83095 |
83096 |
83097 |
83098 |
83099 |
83100 |
φ(n) |
55392 |
41544 |
83092 |
25160 |
66472 |
35328 |
47448 |
41548 |
79464 |
22080 |
|
|
|
|
|
|
|
|
|
|
|
n |
83101 |
83102 |
83103 |
83104 |
83105 |
83106 |
83107 |
83108 |
83109 |
83110 |
φ(n) |
83100 |
40392 |
55400 |
34944 |
60400 |
26244 |
81040 |
40872 |
51120 |
33240 |
|
|
|
|
|
|
|
|
|
|
|
n |
83111 |
83112 |
83113 |
83114 |
83115 |
83116 |
83117 |
83118 |
83119 |
83120 |
φ(n) |
68760 |
27696 |
78208 |
40096 |
44304 |
37760 |
83116 |
23736 |
81144 |
33216 |
|
|
|
|
|
|
|
|
|
|
|
n |
83121 |
83122 |
83123 |
83124 |
83125 |
83126 |
83127 |
83128 |
83129 |
83130 |
φ(n) |
54672 |
36432 |
82200 |
27696 |
54000 |
41008 |
50160 |
41560 |
82176 |
20736 |
|
|
|
|
|
|
|
|
|
|
|
n |
83131 |
83132 |
83133 |
83134 |
83135 |
83136 |
83137 |
83138 |
83139 |
83140 |
φ(n) |
81664 |
35616 |
55404 |
41160 |
61344 |
27648 |
83136 |
37780 |
45792 |
33248 |
|
|
|
|
|
|
|
|
|
|
|
n |
83141 |
83142 |
83143 |
83144 |
83145 |
83146 |
83147 |
83148 |
83149 |
83150 |
φ(n) |
81900 |
26640 |
77280 |
39312 |
42240 |
35628 |
76032 |
24960 |
75580 |
33240 |
|
|
|
|
|
|
|
|
|
|
|
n |
83151 |
83152 |
83153 |
83154 |
83155 |
83156 |
83157 |
83158 |
83159 |
83160 |
φ(n) |
55428 |
41568 |
71232 |
27716 |
66520 |
41576 |
54288 |
41578 |
82416 |
17280 |
|
|
|
|
|
|
|
|
|
|
|
n |
83161 |
83162 |
83163 |
83164 |
83165 |
83166 |
83167 |
83168 |
83169 |
83170 |
φ(n) |
76752 |
40572 |
52488 |
39104 |
66528 |
27224 |
70632 |
39424 |
55440 |
33264 |
|
|
|
|
|
|
|
|
|
|
|
n |
83171 |
83172 |
83173 |
83174 |
83175 |
83176 |
83177 |
83178 |
83179 |
83180 |
φ(n) |
75600 |
26656 |
80460 |
32832 |
44320 |
40320 |
83176 |
27720 |
82584 |
33264 |
|
|
|
|
|
|
|
|
|
|
|
n |
83181 |
83182 |
83183 |
83184 |
83185 |
83186 |
83187 |
83188 |
83189 |
83190 |
φ(n) |
44544 |
35640 |
82560 |
27712 |
65520 |
41592 |
50544 |
35640 |
81120 |
21344 |
|
|
|
|
|
|
|
|
|
|
|
n |
83191 |
83192 |
83193 |
83194 |
83195 |
83196 |
83197 |
83198 |
83199 |
83200 |
φ(n) |
79552 |
41592 |
50400 |
41596 |
57024 |
27720 |
82620 |
39136 |
55464 |
30720 |
|
|
|
|
|
|
|
|
|
|
|
n |
83201 |
83202 |
83203 |
83204 |
83205 |
83206 |
83207 |
83208 |
83209 |
83210 |
φ(n) |
75600 |
23688 |
83202 |
36000 |
43344 |
41602 |
83206 |
27728 |
71316 |
32448 |
|
|
|
|
|
|
|
|
|
|
|
n |
83211 |
83212 |
83213 |
83214 |
83215 |
83216 |
83217 |
83218 |
83219 |
83220 |
φ(n) |
55472 |
40880 |
74304 |
26136 |
56320 |
35616 |
55476 |
41608 |
83218 |
20736 |
|
|
|
|
|
|
|
|
|
|
|
n |
83221 |
83222 |
83223 |
83224 |
83225 |
83226 |
83227 |
83228 |
83229 |
83230 |
φ(n) |
83220 |
41610 |
47520 |
40800 |
66560 |
23040 |
83226 |
41612 |
55484 |
26880 |
|
|
|
|
|
|
|
|
|
|
|
n |
83231 |
83232 |
83233 |
83234 |
83235 |
83236 |
83237 |
83238 |
83239 |
83240 |
φ(n) |
83230 |
26112 |
83232 |
41616 |
42720 |
41616 |
60720 |
27744 |
72576 |
33280 |
|
|
|
|
|
|
|
|
|
|
|
n |
83241 |
83242 |
83243 |
83244 |
83245 |
83246 |
83247 |
83248 |
83249 |
83250 |
φ(n) |
55476 |
41620 |
83242 |
23760 |
66592 |
41128 |
55496 |
36960 |
76096 |
21600 |
|
|
|
|
|
|
|
|
|
|
|
n |
83251 |
83252 |
83253 |
83254 |
83255 |
83256 |
83257 |
83258 |
83259 |
83260 |
φ(n) |
71316 |
38400 |
55500 |
41626 |
66600 |
27744 |
83256 |
33696 |
48720 |
31680 |
|
|
|
|
|
|
|
|
|
|
|
n |
83261 |
83262 |
83263 |
83264 |
83265 |
83266 |
83267 |
83268 |
83269 |
83270 |
φ(n) |
82524 |
27752 |
81640 |
41600 |
34560 |
37440 |
83266 |
27648 |
83268 |
30240 |
|
|
|
|
|
|
|
|
|
|
|
n |
83271 |
83272 |
83273 |
83274 |
83275 |
83276 |
83277 |
83278 |
83279 |
83280 |
φ(n) |
54080 |
35664 |
83272 |
27756 |
66600 |
41040 |
52488 |
38424 |
71376 |
22144 |
|
|
|
|
|
|
|
|
|
|
|
n |
83281 |
83282 |
83283 |
83284 |
83285 |
83286 |
83287 |
83288 |
83289 |
83290 |
φ(n) |
73920 |
41640 |
49280 |
40664 |
66624 |
23760 |
81000 |
40096 |
55524 |
33312 |
|
|
|
|
|
|
|
|
|
|
|
n |
83291 |
83292 |
83293 |
83294 |
83295 |
83296 |
83297 |
83298 |
83299 |
83300 |
φ(n) |
74592 |
25200 |
69984 |
41646 |
44352 |
39168 |
80580 |
27764 |
83298 |
26880 |
|
|
|
|
|
|
|
|
|
|
|
n |
83301 |
83302 |
83303 |
83304 |
83305 |
83306 |
83307 |
83308 |
83309 |
83310 |
φ(n) |
55532 |
41650 |
75720 |
25344 |
66640 |
39820 |
47592 |
40832 |
82716 |
22208 |
|
|
|
|
|
|
|
|
|
|
|
n |
83311 |
83312 |
83313 |
83314 |
83315 |
83316 |
83317 |
83318 |
83319 |
83320 |
φ(n) |
83310 |
40320 |
55536 |
32400 |
63072 |
27040 |
69888 |
41658 |
55544 |
33312 |
|
|
|
|
|
|
|
|
|
|
|
n |
83321 |
83322 |
83323 |
83324 |
83325 |
83326 |
83327 |
83328 |
83329 |
83330 |
φ(n) |
71412 |
27756 |
82368 |
40464 |
40000 |
40920 |
82416 |
23040 |
79684 |
30720 |
|
|
|
|
|
|
|
|
|
|
|
n |
83331 |
83332 |
83333 |
83334 |
83335 |
83336 |
83337 |
83338 |
83339 |
83340 |
φ(n) |
54096 |
41000 |
82668 |
24192 |
57120 |
37840 |
55556 |
41668 |
83338 |
22176 |
|
|
|
|
|
|
|
|
|
|
|
n |
83341 |
83342 |
83343 |
83344 |
83345 |
83346 |
83347 |
83348 |
83349 |
83350 |
φ(n) |
83340 |
35712 |
51264 |
41664 |
65520 |
26768 |
75760 |
40920 |
47628 |
33320 |
|
|
|
|
|
|
|
|
|
|
|
n |
83351 |
83352 |
83353 |
83354 |
83355 |
83356 |
83357 |
83358 |
83359 |
83360 |
φ(n) |
78432 |
26400 |
76320 |
41020 |
44448 |
32832 |
83356 |
25200 |
80640 |
33280 |
|
|
|
|
|
|
|
|
|
|
|
n |
83361 |
83362 |
83363 |
83364 |
83365 |
83366 |
83367 |
83368 |
83369 |
83370 |
φ(n) |
54000 |
41680 |
71448 |
27784 |
66688 |
41040 |
54288 |
39168 |
68640 |
19008 |
|
|
|
|
|
|
|
|
|
|
|
n |
83371 |
83372 |
83373 |
83374 |
83375 |
83376 |
83377 |
83378 |
83379 |
83380 |
φ(n) |
82792 |
39456 |
55580 |
41686 |
61600 |
27648 |
69552 |
40756 |
55584 |
30240 |
|
|
|
|
|
|
|
|
|
|
|
n |
83381 |
83382 |
83383 |
83384 |
83385 |
83386 |
83387 |
83388 |
83389 |
83390 |
φ(n) |
82764 |
25632 |
83382 |
35712 |
41472 |
41280 |
81960 |
27792 |
83388 |
32160 |
|
|
|
|
|
|
|
|
|
|
|
n |
83391 |
83392 |
83393 |
83394 |
83395 |
83396 |
83397 |
83398 |
83399 |
83400 |
φ(n) |
41040 |
41664 |
82368 |
26880 |
61536 |
41696 |
55596 |
33264 |
83398 |
22080 |
|
|
|
|
|
|
|
|
|
|
|
n |
83401 |
83402 |
83403 |
83404 |
83405 |
83406 |
83407 |
83408 |
83409 |
83410 |
φ(n) |
83400 |
35520 |
55584 |
40208 |
57168 |
27800 |
83406 |
38400 |
55604 |
31536 |
|
|
|
|
|
|
|
|
|
|
|
n |
83411 |
83412 |
83413 |
83414 |
83415 |
83416 |
83417 |
83418 |
83419 |
83420 |
φ(n) |
82824 |
23760 |
75820 |
41296 |
43296 |
41704 |
83416 |
27804 |
67200 |
32256 |
|
|
|
|
|
|
|
|
|
|
|
n |
83421 |
83422 |
83423 |
83424 |
83425 |
83426 |
83427 |
83428 |
83429 |
83430 |
φ(n) |
47520 |
40872 |
83422 |
24960 |
64400 |
34800 |
55616 |
41712 |
79020 |
22032 |
|
|
|
|
|
|
|
|
|
|
|
n |
83431 |
83432 |
83433 |
83434 |
83435 |
83436 |
83437 |
83438 |
83439 |
83440 |
φ(n) |
83430 |
41712 |
45696 |
38496 |
57600 |
26112 |
83436 |
41718 |
54432 |
28416 |
|
|
|
|
|
|
|
|
|
|
|
n |
83441 |
83442 |
83443 |
83444 |
83445 |
83446 |
83447 |
83448 |
83449 |
83450 |
φ(n) |
82800 |
27812 |
83442 |
39864 |
44496 |
37920 |
65520 |
25920 |
83448 |
33360 |
|
|
|
|
|
|
|
|
|
|
|
n |
83451 |
83452 |
83453 |
83454 |
83455 |
83456 |
83457 |
83458 |
83459 |
83460 |
φ(n) |
55632 |
40320 |
78528 |
23832 |
66760 |
41472 |
50400 |
41728 |
83458 |
20352 |
|
|
|
|
|
|
|
|
|
|
|
n |
83461 |
83462 |
83463 |
83464 |
83465 |
83466 |
83467 |
83468 |
83469 |
83470 |
φ(n) |
71532 |
40264 |
54264 |
41728 |
66768 |
27816 |
75240 |
32400 |
55644 |
31360 |
|
|
|
|
|
|
|
|
|
|
|
n |
83471 |
83472 |
83473 |
83474 |
83475 |
83476 |
83477 |
83478 |
83479 |
83480 |
φ(n) |
83470 |
26496 |
77040 |
41736 |
37440 |
40640 |
83476 |
27824 |
75880 |
33376 |
|
|
|
|
|
|
|
|
|
|
|
n |
83481 |
83482 |
83483 |
83484 |
83485 |
83486 |
83487 |
83488 |
83489 |
83490 |
φ(n) |
55652 |
34848 |
80760 |
27792 |
65424 |
36504 |
52352 |
41728 |
71556 |
19360 |
|
|
|
|
|
|
|
|
|
|
|
n |
83491 |
83492 |
83493 |
83494 |
83495 |
83496 |
83497 |
83498 |
83499 |
83500 |
φ(n) |
80584 |
41744 |
55656 |
41256 |
66792 |
23520 |
83496 |
41164 |
51360 |
33200 |
|
|
|
|
|
|
|
|
|
|
|
n |
83501 |
83502 |
83503 |
83504 |
83505 |
83506 |
83507 |
83508 |
83509 |
83510 |
φ(n) |
75900 |
27828 |
70200 |
39168 |
42048 |
40740 |
82656 |
27832 |
79920 |
28608 |
|
|
|
|
|
|
|
|
|
|
|
n |
83511 |
83512 |
83513 |
83514 |
83515 |
83516 |
83517 |
83518 |
83519 |
83520 |
φ(n) |
55620 |
34560 |
79860 |
26880 |
66808 |
41756 |
46080 |
41758 |
81696 |
21504 |
|
|
|
|
|
|
|
|
|
|
|
n |
83521 |
83522 |
83523 |
83524 |
83525 |
83526 |
83527 |
83528 |
83529 |
83530 |
φ(n) |
78608 |
41760 |
50600 |
33696 |
61440 |
27840 |
82600 |
40768 |
55680 |
33408 |
|
|
|
|
|
|
|
|
|
|
|
n |
83531 |
83532 |
83533 |
83534 |
83535 |
83536 |
83537 |
83538 |
83539 |
83540 |
φ(n) |
71592 |
27840 |
82620 |
37960 |
44544 |
39776 |
83536 |
20736 |
82800 |
33408 |
|
|
|
|
|
|
|
|
|
|
|
n |
83541 |
83542 |
83543 |
83544 |
83545 |
83546 |
83547 |
83548 |
83549 |
83550 |
φ(n) |
55692 |
41770 |
79128 |
27376 |
50400 |
40608 |
55692 |
41772 |
77616 |
22240 |
|
|
|
|
|
|
|
|
|
|
|
n |
83551 |
83552 |
83553 |
83554 |
83555 |
83556 |
83557 |
83558 |
83559 |
83560 |
φ(n) |
77112 |
35712 |
55700 |
41776 |
62848 |
25200 |
83556 |
40720 |
45408 |
33408 |
|
|
|
|
|
|
|
|
|
|
|
n |
83561 |
83562 |
83563 |
83564 |
83565 |
83566 |
83567 |
83568 |
83569 |
83570 |
φ(n) |
83560 |
26352 |
83562 |
38544 |
44496 |
34776 |
74200 |
27840 |
82944 |
32640 |
|
|
|
|
|
|
|
|
|
|
|
n |
83571 |
83572 |
83573 |
83574 |
83575 |
83576 |
83577 |
83578 |
83579 |
83580 |
φ(n) |
54912 |
39296 |
71628 |
27852 |
66840 |
40320 |
51408 |
36400 |
83578 |
19008 |
|
|
|
|
|
|
|
|
|
|
|
n |
83581 |
83582 |
83583 |
83584 |
83585 |
83586 |
83587 |
83588 |
83589 |
83590 |
φ(n) |
76752 |
39468 |
54000 |
41728 |
65664 |
27860 |
71640 |
41792 |
47360 |
30816 |
|
|
|
|
|
|
|
|
|
|
|
n |
83591 |
83592 |
83593 |
83594 |
83595 |
83596 |
83597 |
83598 |
83599 |
83600 |
φ(n) |
83590 |
27216 |
82948 |
35784 |
44576 |
41796 |
83596 |
27864 |
81520 |
28800 |
|
|
|
|
|
|
|
|
|
|
|
n |
83601 |
83602 |
83603 |
83604 |
83605 |
83606 |
83607 |
83608 |
83609 |
83610 |
φ(n) |
47736 |
41800 |
75168 |
27864 |
63888 |
39328 |
52080 |
35808 |
83608 |
22272 |
|
|
|
|
|
|
|
|
|
|
|
n |
83611 |
83612 |
83613 |
83614 |
83615 |
83616 |
83617 |
83618 |
83619 |
83620 |
φ(n) |
75900 |
41804 |
54464 |
41280 |
57312 |
25344 |
83616 |
41808 |
52488 |
32256 |
|
|
|
|
|
|
|
|
|
|
|
n |
83621 |
83622 |
83623 |
83624 |
83625 |
83626 |
83627 |
83628 |
83629 |
83630 |
φ(n) |
83620 |
21600 |
78688 |
41808 |
44400 |
41812 |
83040 |
26400 |
66096 |
33448 |
|
|
|
|
|
|
|
|
|
|
|
n |
83631 |
83632 |
83633 |
83634 |
83635 |
83636 |
83637 |
83638 |
83639 |
83640 |
φ(n) |
54720 |
41808 |
76020 |
27248 |
65184 |
34272 |
55752 |
37800 |
83638 |
20480 |
|
|
|
|
|
|
|
|
|
|
|
n |
83641 |
83642 |
83643 |
83644 |
83645 |
83646 |
83647 |
83648 |
83649 |
83650 |
φ(n) |
83640 |
38592 |
47712 |
38000 |
66912 |
27864 |
83056 |
41792 |
55764 |
28560 |
|
|
|
|
|
|
|
|
|
|
|
n |
83651 |
83652 |
83653 |
83654 |
83655 |
83656 |
83657 |
83658 |
83659 |
83660 |
φ(n) |
79992 |
27880 |
83652 |
41400 |
37440 |
41824 |
62208 |
27360 |
83080 |
32384 |
|
|
|
|
|
|
|
|
|
|
|
n |
83661 |
83662 |
83663 |
83664 |
83665 |
83666 |
83667 |
83668 |
83669 |
83670 |
φ(n) |
54912 |
41064 |
83662 |
23616 |
64512 |
38020 |
55444 |
38592 |
80940 |
22304 |
|
|
|
|
|
|
|
|
|
|
|
n |
83671 |
83672 |
83673 |
83674 |
83675 |
83676 |
83677 |
83678 |
83679 |
83680 |
φ(n) |
71712 |
41832 |
55728 |
37312 |
66920 |
26352 |
76060 |
34776 |
55784 |
33408 |
|
|
|
|
|
|
|
|
|
|
|
n |
83681 |
83682 |
83683 |
83684 |
83685 |
83686 |
83687 |
83688 |
83689 |
83690 |
φ(n) |
74880 |
27888 |
82368 |
41840 |
38208 |
41842 |
82056 |
25280 |
83688 |
33472 |
|
|
|
|
|
|
|
|
|
|
|
n |
83691 |
83692 |
83693 |
83694 |
83695 |
83696 |
83697 |
83698 |
83699 |
83700 |
φ(n) |
52416 |
35280 |
82908 |
24192 |
63360 |
41840 |
53328 |
41848 |
65160 |
21600 |
|
|
|
|
|
|
|
|
|
|
|
n |
83701 |
83702 |
83703 |
83704 |
83705 |
83706 |
83707 |
83708 |
83709 |
83710 |
φ(n) |
83700 |
41850 |
55800 |
41848 |
66960 |
23904 |
75072 |
39360 |
54600 |
30400 |
|
|
|
|
|
|
|
|
|
|
|
n |
83711 |
83712 |
83713 |
83714 |
83715 |
83716 |
83717 |
83718 |
83719 |
83720 |
φ(n) |
82752 |
27648 |
71748 |
39636 |
44640 |
41856 |
83716 |
27900 |
83718 |
25344 |
|
|
|
|
|
|
|
|
|
|
|
n |
83721 |
83722 |
83723 |
83724 |
83725 |
83726 |
83727 |
83728 |
83729 |
83730 |
φ(n) |
48720 |
40800 |
80808 |
27904 |
62720 |
41862 |
47736 |
41856 |
82800 |
22320 |
|
|
|
|
|
|
|
|
|
|
|
n |
83731 |
83732 |
83733 |
83734 |
83735 |
83736 |
83737 |
83738 |
83739 |
83740 |
φ(n) |
77760 |
37840 |
48384 |
35880 |
66984 |
27888 |
83736 |
41440 |
55080 |
32448 |
|
|
|
|
|
|
|
|
|
|
|
n |
83741 |
83742 |
83743 |
83744 |
83745 |
83746 |
83747 |
83748 |
83749 |
83750 |
φ(n) |
71736 |
26240 |
72600 |
41856 |
44640 |
38640 |
82656 |
23904 |
82720 |
33000 |
|
|
|
|
|
|
|
|
|
|
|
n |
83751 |
83752 |
83753 |
83754 |
83755 |
83756 |
83757 |
83758 |
83759 |
83760 |
φ(n) |
55832 |
38304 |
82320 |
24840 |
57408 |
41876 |
55836 |
41878 |
72576 |
22272 |
|
|
|
|
|
|
|
|
|
|
|
n |
83761 |
83762 |
83763 |
83764 |
83765 |
83766 |
83767 |
83768 |
83769 |
83770 |
φ(n) |
83760 |
34560 |
54240 |
40824 |
60880 |
26664 |
83160 |
40608 |
47856 |
33504 |
|
|
|
|
|
|
|
|
|
|
|
n |
83771 |
83772 |
83773 |
83774 |
83775 |
83776 |
83777 |
83778 |
83779 |
83780 |
φ(n) |
79344 |
25632 |
83772 |
41886 |
44640 |
30720 |
83776 |
27924 |
83160 |
32480 |
|
|
|
|
|
|
|
|
|
|
|
n |
83781 |
83782 |
83783 |
83784 |
83785 |
83786 |
83787 |
83788 |
83789 |
83790 |
φ(n) |
53424 |
41472 |
71808 |
27920 |
61824 |
41892 |
50760 |
41892 |
80124 |
18144 |
|
|
|
|
|
|
|
|
|
|
|
n |
83791 |
83792 |
83793 |
83794 |
83795 |
83796 |
83797 |
83798 |
83799 |
83800 |
φ(n) |
83790 |
41888 |
49920 |
41896 |
67032 |
27928 |
71820 |
35040 |
55860 |
33440 |
|
|
|
|
|
|
|
|
|
|
|
n |
83801 |
83802 |
83803 |
83804 |
83805 |
83806 |
83807 |
83808 |
83809 |
83810 |
φ(n) |
81972 |
27932 |
83160 |
34560 |
43200 |
41902 |
81816 |
27648 |
72000 |
30464 |
|
|
|
|
|
|
|
|
|
|
|
n |
83811 |
83812 |
83813 |
83814 |
83815 |
83816 |
83817 |
83818 |
83819 |
83820 |
φ(n) |
44064 |
40040 |
83812 |
27360 |
67048 |
41904 |
54648 |
35916 |
82680 |
20160 |
|
|
|
|
|
|
|
|
|
|
|
n |
83821 |
83822 |
83823 |
83824 |
83825 |
83826 |
83827 |
83828 |
83829 |
83830 |
φ(n) |
82944 |
41910 |
55880 |
37440 |
57360 |
27936 |
78880 |
39672 |
55884 |
32800 |
|
|
|
|
|
|
|
|
|
|
|
n |
83831 |
83832 |
83833 |
83834 |
83835 |
83836 |
83837 |
83838 |
83839 |
83840 |
φ(n) |
76200 |
23904 |
83832 |
41500 |
42768 |
41916 |
77376 |
27456 |
68208 |
33280 |
|
|
|
|
|
|
|
|
|
|
|
n |
83841 |
83842 |
83843 |
83844 |
83845 |
83846 |
83847 |
83848 |
83849 |
83850 |
φ(n) |
55892 |
36720 |
83842 |
26112 |
65280 |
34944 |
52920 |
40848 |
83220 |
20160 |
|
|
|
|
|
|
|
|
|
|
|
n |
83851 |
83852 |
83853 |
83854 |
83855 |
83856 |
83857 |
83858 |
83859 |
83860 |
φ(n) |
82600 |
41924 |
43560 |
41926 |
64800 |
27936 |
83856 |
40084 |
55904 |
28704 |
|
|
|
|
|
|
|
|
|
|
|
n |
83861 |
83862 |
83863 |
83864 |
83865 |
83866 |
83867 |
83868 |
83869 |
83870 |
φ(n) |
78912 |
27936 |
77400 |
38080 |
44720 |
39708 |
71880 |
26880 |
83868 |
33544 |
|
|
|
|
|
|
|
|
|
|
|
n |
83871 |
83872 |
83873 |
83874 |
83875 |
83876 |
83877 |
83878 |
83879 |
83880 |
φ(n) |
55908 |
41920 |
83872 |
23952 |
60000 |
38688 |
55008 |
39456 |
81576 |
22272 |
|
|
|
|
|
|
|
|
|
|
|
n |
83881 |
83882 |
83883 |
83884 |
83885 |
83886 |
83887 |
83888 |
83889 |
83890 |
φ(n) |
68640 |
41940 |
55920 |
41184 |
63504 |
24000 |
83176 |
35616 |
51408 |
33552 |
|
|
|
|
|
|
|
|
|
|
|
n |
83891 |
83892 |
83893 |
83894 |
83895 |
83896 |
83897 |
83898 |
83899 |
83900 |
φ(n) |
83890 |
27960 |
81900 |
41946 |
35328 |
41944 |
73360 |
27144 |
82264 |
33520 |
|
|
|
|
|
|
|
|
|
|
|
n |
83901 |
83902 |
83903 |
83904 |
83905 |
83906 |
83907 |
83908 |
83909 |
83910 |
φ(n) |
55932 |
33120 |
83902 |
25344 |
66048 |
41952 |
55932 |
38120 |
71916 |
22368 |
|
|
|
|
|
|
|
|
|
|
|
n |
83911 |
83912 |
83913 |
83914 |
83915 |
83916 |
83917 |
83918 |
83919 |
83920 |
φ(n) |
83910 |
39424 |
55104 |
41956 |
61920 |
23328 |
81180 |
41958 |
50840 |
33536 |
|
|
|
|
|
|
|
|
|
|
|
n |
83921 |
83922 |
83923 |
83924 |
83925 |
83926 |
83927 |
83928 |
83929 |
83930 |
φ(n) |
83920 |
27440 |
68040 |
41960 |
44640 |
40488 |
77440 |
25728 |
78976 |
25920 |
|
|
|
|
|
|
|
|
|
|
|
n |
83931 |
83932 |
83933 |
83934 |
83935 |
83936 |
83937 |
83938 |
83939 |
83940 |
φ(n) |
55200 |
41964 |
83932 |
27972 |
67144 |
40320 |
47880 |
41968 |
83938 |
22368 |
|
|
|
|
|
|
|
|
|
|
|
n |
83941 |
83942 |
83943 |
83944 |
83945 |
83946 |
83947 |
83948 |
83949 |
83950 |
φ(n) |
70320 |
38916 |
55944 |
35952 |
66096 |
26304 |
83160 |
40560 |
55964 |
31680 |
|
|
|
|
|
|
|
|
|
|
|
n |
83951 |
83952 |
83953 |
83954 |
83955 |
83956 |
83957 |
83958 |
83959 |
83960 |
φ(n) |
70488 |
24960 |
81648 |
38736 |
43008 |
41400 |
82476 |
23976 |
83104 |
33568 |
|
|
|
|
|
|
|
|
|
|
|
n |
83961 |
83962 |
83963 |
83964 |
83965 |
83966 |
83967 |
83968 |
83969 |
83970 |
φ(n) |
52920 |
41980 |
71680 |
27984 |
57552 |
41982 |
51648 |
40960 |
83968 |
22320 |
|
|
|
|
|
|
|
|
|
|
|
n |
83971 |
83972 |
83973 |
83974 |
83975 |
83976 |
83977 |
83978 |
83979 |
83980 |
φ(n) |
83200 |
35976 |
53504 |
38060 |
67160 |
27984 |
82836 |
41580 |
45360 |
27648 |
|
|
|
|
|
|
|
|
|
|
|
n |
83981 |
83982 |
83983 |
83984 |
83985 |
83986 |
83987 |
83988 |
83989 |
83990 |
φ(n) |
83232 |
27992 |
83982 |
40320 |
40640 |
35952 |
83986 |
27984 |
82156 |
32544 |
|
|
|
|
|
|
|
|
|
|
|
n |
83991 |
83992 |
83993 |
83994 |
83995 |
83996 |
83997 |
83998 |
83999 |
84000 |
φ(n) |
55992 |
41992 |
65520 |
27996 |
66144 |
36080 |
51840 |
41998 |
79560 |
19200 |
|
|
|
|
|
|
|
|
|
|
|
J.P. Martin-Flatin