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Euler's Totient Function for n = 82001..83000
Euler's Totient Function for n = 82001..83000
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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 |
82001 |
82002 |
82003 |
82004 |
82005 |
82006 |
82007 |
82008 |
82009 |
82010 |
φ(n) |
80052 |
26832 |
82002 |
35424 |
33600 |
40560 |
82006 |
25344 |
82008 |
32016 |
|
|
|
|
|
|
|
|
|
|
|
n |
82011 |
82012 |
82013 |
82014 |
82015 |
82016 |
82017 |
82018 |
82019 |
82020 |
φ(n) |
54672 |
33600 |
82012 |
27336 |
64032 |
37120 |
50400 |
39204 |
70296 |
21856 |
|
|
|
|
|
|
|
|
|
|
|
n |
82021 |
82022 |
82023 |
82024 |
82025 |
82026 |
82027 |
82028 |
82029 |
82030 |
φ(n) |
82020 |
41010 |
51768 |
41008 |
61440 |
22680 |
74560 |
41012 |
53136 |
30240 |
|
|
|
|
|
|
|
|
|
|
|
n |
82031 |
82032 |
82033 |
82034 |
82035 |
82036 |
82037 |
82038 |
82039 |
82040 |
φ(n) |
82030 |
27328 |
70308 |
41016 |
43728 |
41016 |
82036 |
24640 |
82038 |
28032 |
|
|
|
|
|
|
|
|
|
|
|
n |
82041 |
82042 |
82043 |
82044 |
82045 |
82046 |
82047 |
82048 |
82049 |
82050 |
φ(n) |
49280 |
36288 |
75720 |
26208 |
64320 |
41022 |
46872 |
40960 |
74580 |
21840 |
|
|
|
|
|
|
|
|
|
|
|
n |
82051 |
82052 |
82053 |
82054 |
82055 |
82056 |
82057 |
82058 |
82059 |
82060 |
φ(n) |
82050 |
40320 |
54648 |
35160 |
65640 |
25152 |
79380 |
40480 |
51456 |
29760 |
|
|
|
|
|
|
|
|
|
|
|
n |
82061 |
82062 |
82063 |
82064 |
82065 |
82066 |
82067 |
82068 |
82069 |
82070 |
φ(n) |
66528 |
26496 |
81328 |
39072 |
43760 |
39888 |
82066 |
23424 |
73776 |
31584 |
|
|
|
|
|
|
|
|
|
|
|
n |
82071 |
82072 |
82073 |
82074 |
82075 |
82076 |
82077 |
82078 |
82079 |
82080 |
φ(n) |
49680 |
41032 |
82072 |
27356 |
55440 |
38080 |
54000 |
41038 |
81480 |
20736 |
|
|
|
|
|
|
|
|
|
|
|
n |
82081 |
82082 |
82083 |
82084 |
82085 |
82086 |
82087 |
82088 |
82089 |
82090 |
φ(n) |
80964 |
28800 |
54720 |
41040 |
65664 |
27360 |
75768 |
39600 |
46872 |
32832 |
|
|
|
|
|
|
|
|
|
|
|
n |
82091 |
82092 |
82093 |
82094 |
82095 |
82096 |
82097 |
82098 |
82099 |
82100 |
φ(n) |
81192 |
27360 |
70080 |
41046 |
40320 |
35136 |
80496 |
27360 |
74592 |
32800 |
|
|
|
|
|
|
|
|
|
|
|
n |
82101 |
82102 |
82103 |
82104 |
82105 |
82106 |
82107 |
82108 |
82109 |
82110 |
φ(n) |
54732 |
41050 |
68256 |
24800 |
65680 |
40320 |
54720 |
37872 |
80316 |
16896 |
|
|
|
|
|
|
|
|
|
|
|
n |
82111 |
82112 |
82113 |
82114 |
82115 |
82116 |
82117 |
82118 |
82119 |
82120 |
φ(n) |
81432 |
41024 |
54000 |
41056 |
59680 |
27360 |
70380 |
38880 |
52920 |
32832 |
|
|
|
|
|
|
|
|
|
|
|
n |
82121 |
82122 |
82123 |
82124 |
82125 |
82126 |
82127 |
82128 |
82129 |
82130 |
φ(n) |
75792 |
27372 |
80080 |
35112 |
43200 |
37320 |
77280 |
25984 |
82128 |
31920 |
|
|
|
|
|
|
|
|
|
|
|
n |
82131 |
82132 |
82133 |
82134 |
82135 |
82136 |
82137 |
82138 |
82139 |
82140 |
φ(n) |
46920 |
41064 |
78540 |
25272 |
65704 |
41064 |
46800 |
35196 |
82138 |
21312 |
|
|
|
|
|
|
|
|
|
|
|
n |
82141 |
82142 |
82143 |
82144 |
82145 |
82146 |
82147 |
82148 |
82149 |
82150 |
φ(n) |
82140 |
40392 |
54756 |
38400 |
56304 |
27380 |
73920 |
37320 |
54096 |
31200 |
|
|
|
|
|
|
|
|
|
|
|
n |
82151 |
82152 |
82153 |
82154 |
82155 |
82156 |
82157 |
82158 |
82159 |
82160 |
φ(n) |
81312 |
23328 |
82152 |
41076 |
43808 |
36432 |
79296 |
27384 |
63360 |
29952 |
|
|
|
|
|
|
|
|
|
|
|
n |
82161 |
82162 |
82163 |
82164 |
82165 |
82166 |
82167 |
82168 |
82169 |
82170 |
φ(n) |
51264 |
41080 |
82162 |
26560 |
65728 |
35208 |
53760 |
41080 |
81396 |
19680 |
|
|
|
|
|
|
|
|
|
|
|
n |
82171 |
82172 |
82173 |
82174 |
82175 |
82176 |
82177 |
82178 |
82179 |
82180 |
φ(n) |
82170 |
41084 |
42336 |
40680 |
61920 |
27136 |
79920 |
38656 |
52272 |
28128 |
|
|
|
|
|
|
|
|
|
|
|
n |
82181 |
82182 |
82183 |
82184 |
82185 |
82186 |
82187 |
82188 |
82189 |
82190 |
φ(n) |
72000 |
27392 |
82182 |
41088 |
43824 |
36288 |
68904 |
27360 |
82188 |
32872 |
|
|
|
|
|
|
|
|
|
|
|
n |
82191 |
82192 |
82193 |
82194 |
82195 |
82196 |
82197 |
82198 |
82199 |
82200 |
φ(n) |
54792 |
37280 |
82192 |
22032 |
61824 |
41096 |
54792 |
40464 |
75864 |
21760 |
|
|
|
|
|
|
|
|
|
|
|
n |
82201 |
82202 |
82203 |
82204 |
82205 |
82206 |
82207 |
82208 |
82209 |
82210 |
φ(n) |
70452 |
39292 |
47840 |
41100 |
64000 |
27396 |
82206 |
35136 |
53856 |
32880 |
|
|
|
|
|
|
|
|
|
|
|
n |
82211 |
82212 |
82213 |
82214 |
82215 |
82216 |
82217 |
82218 |
82219 |
82220 |
φ(n) |
81624 |
23040 |
77868 |
36000 |
36288 |
39984 |
82216 |
26880 |
82218 |
32880 |
|
|
|
|
|
|
|
|
|
|
|
n |
82221 |
82222 |
82223 |
82224 |
82225 |
82226 |
82227 |
82228 |
82229 |
82230 |
φ(n) |
54812 |
35196 |
82222 |
27360 |
52800 |
41112 |
54816 |
40320 |
66240 |
21920 |
|
|
|
|
|
|
|
|
|
|
|
n |
82231 |
82232 |
82233 |
82234 |
82235 |
82236 |
82237 |
82238 |
82239 |
82240 |
φ(n) |
82230 |
38880 |
54816 |
41116 |
65784 |
21120 |
82236 |
37944 |
53976 |
32768 |
|
|
|
|
|
|
|
|
|
|
|
n |
82241 |
82242 |
82243 |
82244 |
82245 |
82246 |
82247 |
82248 |
82249 |
82250 |
φ(n) |
82240 |
27396 |
68040 |
39648 |
43856 |
37120 |
74760 |
26048 |
81664 |
27600 |
|
|
|
|
|
|
|
|
|
|
|
n |
82251 |
82252 |
82253 |
82254 |
82255 |
82256 |
82257 |
82258 |
82259 |
82260 |
φ(n) |
46656 |
41124 |
81180 |
27416 |
65800 |
39936 |
46992 |
37380 |
80304 |
21888 |
|
|
|
|
|
|
|
|
|
|
|
n |
82261 |
82262 |
82263 |
82264 |
82265 |
82266 |
82267 |
82268 |
82269 |
82270 |
φ(n) |
82260 |
41130 |
51584 |
32256 |
65808 |
27420 |
82266 |
40560 |
49680 |
31104 |
|
|
|
|
|
|
|
|
|
|
|
n |
82271 |
82272 |
82273 |
82274 |
82275 |
82276 |
82277 |
82278 |
82279 |
82280 |
φ(n) |
66528 |
27392 |
79408 |
39780 |
43840 |
40392 |
75936 |
23472 |
82278 |
28160 |
|
|
|
|
|
|
|
|
|
|
|
n |
82281 |
82282 |
82283 |
82284 |
82285 |
82286 |
82287 |
82288 |
82289 |
82290 |
φ(n) |
54852 |
41140 |
81408 |
27424 |
56400 |
41142 |
53280 |
39744 |
75600 |
20160 |
|
|
|
|
|
|
|
|
|
|
|
n |
82291 |
82292 |
82293 |
82294 |
82295 |
82296 |
82297 |
82298 |
82299 |
82300 |
φ(n) |
74800 |
35256 |
54860 |
39336 |
64800 |
27216 |
75072 |
41148 |
47016 |
32880 |
|
|
|
|
|
|
|
|
|
|
|
n |
82301 |
82302 |
82303 |
82304 |
82305 |
82306 |
82307 |
82308 |
82309 |
82310 |
φ(n) |
82300 |
23520 |
75816 |
41088 |
41760 |
35268 |
82306 |
25992 |
80704 |
32920 |
|
|
|
|
|
|
|
|
|
|
|
n |
82311 |
82312 |
82313 |
82314 |
82315 |
82316 |
82317 |
82318 |
82319 |
82320 |
φ(n) |
54872 |
41152 |
64080 |
25728 |
64800 |
37968 |
52448 |
40560 |
81744 |
18816 |
|
|
|
|
|
|
|
|
|
|
|
n |
82321 |
82322 |
82323 |
82324 |
82325 |
82326 |
82327 |
82328 |
82329 |
82330 |
φ(n) |
81700 |
41160 |
54864 |
37400 |
63360 |
27440 |
66744 |
40000 |
50640 |
32928 |
|
|
|
|
|
|
|
|
|
|
|
n |
82331 |
82332 |
82333 |
82334 |
82335 |
82336 |
82337 |
82338 |
82339 |
82340 |
φ(n) |
74368 |
27432 |
81760 |
35280 |
39840 |
39360 |
81600 |
27444 |
82338 |
31328 |
|
|
|
|
|
|
|
|
|
|
|
n |
82341 |
82342 |
82343 |
82344 |
82345 |
82346 |
82347 |
82348 |
82349 |
82350 |
φ(n) |
47016 |
37992 |
81048 |
26496 |
64176 |
35280 |
54896 |
33024 |
82348 |
21600 |
|
|
|
|
|
|
|
|
|
|
|
n |
82351 |
82352 |
82353 |
82354 |
82355 |
82356 |
82357 |
82358 |
82359 |
82360 |
φ(n) |
82350 |
41168 |
54144 |
41176 |
51840 |
27448 |
74860 |
41178 |
54900 |
31360 |
|
|
|
|
|
|
|
|
|
|
|
n |
82361 |
82362 |
82363 |
82364 |
82365 |
82366 |
82367 |
82368 |
82369 |
82370 |
φ(n) |
82360 |
22464 |
78760 |
40368 |
39168 |
41182 |
79680 |
23040 |
68880 |
32944 |
|
|
|
|
|
|
|
|
|
|
|
n |
82371 |
82372 |
82373 |
82374 |
82375 |
82376 |
82377 |
82378 |
82379 |
82380 |
φ(n) |
54912 |
41184 |
82372 |
27456 |
65800 |
35280 |
54432 |
41188 |
74880 |
21952 |
|
|
|
|
|
|
|
|
|
|
|
n |
82381 |
82382 |
82383 |
82384 |
82385 |
82386 |
82387 |
82388 |
82389 |
82390 |
φ(n) |
76032 |
38752 |
47064 |
38880 |
65904 |
26136 |
82386 |
40152 |
52976 |
25440 |
|
|
|
|
|
|
|
|
|
|
|
n |
82391 |
82392 |
82393 |
82394 |
82395 |
82396 |
82397 |
82398 |
82399 |
82400 |
φ(n) |
80592 |
27456 |
82392 |
38016 |
43920 |
41196 |
69264 |
26520 |
74880 |
32640 |
|
|
|
|
|
|
|
|
|
|
|
n |
82401 |
82402 |
82403 |
82404 |
82405 |
82406 |
82407 |
82408 |
82409 |
82410 |
φ(n) |
49720 |
41200 |
78048 |
23328 |
65920 |
41202 |
50688 |
41200 |
78804 |
21120 |
|
|
|
|
|
|
|
|
|
|
|
n |
82411 |
82412 |
82413 |
82414 |
82415 |
82416 |
82417 |
82418 |
82419 |
82420 |
φ(n) |
69120 |
37440 |
54936 |
40656 |
64480 |
25600 |
81216 |
34104 |
54120 |
30336 |
|
|
|
|
|
|
|
|
|
|
|
n |
82421 |
82422 |
82423 |
82424 |
82425 |
82426 |
82427 |
82428 |
82429 |
82430 |
φ(n) |
82420 |
25920 |
73080 |
41208 |
37440 |
41212 |
81696 |
27472 |
79740 |
32968 |
|
|
|
|
|
|
|
|
|
|
|
n |
82431 |
82432 |
82433 |
82434 |
82435 |
82436 |
82437 |
82438 |
82439 |
82440 |
φ(n) |
52920 |
33792 |
71424 |
24960 |
65944 |
40032 |
54956 |
40296 |
70656 |
21888 |
|
|
|
|
|
|
|
|
|
|
|
n |
82441 |
82442 |
82443 |
82444 |
82445 |
82446 |
82447 |
82448 |
82449 |
82450 |
φ(n) |
78084 |
41220 |
54960 |
41220 |
59920 |
21600 |
79576 |
41216 |
54960 |
30720 |
|
|
|
|
|
|
|
|
|
|
|
n |
82451 |
82452 |
82453 |
82454 |
82455 |
82456 |
82457 |
82458 |
82459 |
82460 |
φ(n) |
80400 |
27480 |
70668 |
41226 |
41888 |
37440 |
82456 |
27432 |
76104 |
25920 |
|
|
|
|
|
|
|
|
|
|
|
n |
82461 |
82462 |
82463 |
82464 |
82465 |
82466 |
82467 |
82468 |
82469 |
82470 |
φ(n) |
54972 |
41230 |
82462 |
27456 |
65968 |
41232 |
40320 |
40352 |
82468 |
21984 |
|
|
|
|
|
|
|
|
|
|
|
n |
82471 |
82472 |
82473 |
82474 |
82475 |
82476 |
82477 |
82478 |
82479 |
82480 |
φ(n) |
82470 |
37440 |
53424 |
34272 |
65960 |
26208 |
81180 |
35640 |
52056 |
32960 |
|
|
|
|
|
|
|
|
|
|
|
n |
82481 |
82482 |
82483 |
82484 |
82485 |
82486 |
82487 |
82488 |
82489 |
82490 |
φ(n) |
70692 |
26912 |
82482 |
38784 |
39744 |
41242 |
82486 |
23520 |
74980 |
32256 |
|
|
|
|
|
|
|
|
|
|
|
n |
82491 |
82492 |
82493 |
82494 |
82495 |
82496 |
82497 |
82498 |
82499 |
82500 |
φ(n) |
53160 |
40160 |
82492 |
27492 |
56544 |
41216 |
54272 |
35856 |
82498 |
20000 |
|
|
|
|
|
|
|
|
|
|
|
n |
82501 |
82502 |
82503 |
82504 |
82505 |
82506 |
82507 |
82508 |
82509 |
82510 |
φ(n) |
73920 |
34440 |
53856 |
41248 |
63616 |
27500 |
82506 |
41252 |
47136 |
31968 |
|
|
|
|
|
|
|
|
|
|
|
n |
82511 |
82512 |
82513 |
82514 |
82515 |
82516 |
82517 |
82518 |
82519 |
82520 |
φ(n) |
69120 |
27360 |
81648 |
41256 |
44000 |
35280 |
75600 |
25856 |
81880 |
32992 |
|
|
|
|
|
|
|
|
|
|
|
n |
82521 |
82522 |
82523 |
82524 |
82525 |
82526 |
82527 |
82528 |
82529 |
82530 |
φ(n) |
53664 |
36300 |
70728 |
24288 |
66000 |
41262 |
55016 |
41248 |
82528 |
18720 |
|
|
|
|
|
|
|
|
|
|
|
n |
82531 |
82532 |
82533 |
82534 |
82535 |
82536 |
82537 |
82538 |
82539 |
82540 |
φ(n) |
82530 |
40296 |
48000 |
39816 |
62080 |
25920 |
65232 |
41268 |
54972 |
33008 |
|
|
|
|
|
|
|
|
|
|
|
n |
82541 |
82542 |
82543 |
82544 |
82545 |
82546 |
82547 |
82548 |
82549 |
82550 |
φ(n) |
81084 |
27512 |
81928 |
31680 |
44016 |
40848 |
76032 |
27504 |
82548 |
30240 |
|
|
|
|
|
|
|
|
|
|
|
n |
82551 |
82552 |
82553 |
82554 |
82555 |
82556 |
82557 |
82558 |
82559 |
82560 |
φ(n) |
47160 |
38784 |
79860 |
27516 |
56160 |
41276 |
55032 |
35376 |
82558 |
21504 |
|
|
|
|
|
|
|
|
|
|
|
n |
82561 |
82562 |
82563 |
82564 |
82565 |
82566 |
82567 |
82568 |
82569 |
82570 |
φ(n) |
82560 |
41280 |
48384 |
41280 |
56448 |
24840 |
82566 |
41280 |
51776 |
31504 |
|
|
|
|
|
|
|
|
|
|
|
n |
82571 |
82572 |
82573 |
82574 |
82575 |
82576 |
82577 |
82578 |
82579 |
82580 |
φ(n) |
82570 |
23568 |
81340 |
37440 |
43920 |
38016 |
75060 |
27524 |
69000 |
33024 |
|
|
|
|
|
|
|
|
|
|
|
n |
82581 |
82582 |
82583 |
82584 |
82585 |
82586 |
82587 |
82588 |
82589 |
82590 |
φ(n) |
55052 |
40872 |
82008 |
25920 |
64944 |
33216 |
55056 |
37520 |
76224 |
22016 |
|
|
|
|
|
|
|
|
|
|
|
n |
82591 |
82592 |
82593 |
82594 |
82595 |
82596 |
82597 |
82598 |
82599 |
82600 |
φ(n) |
82590 |
39424 |
42768 |
40560 |
66072 |
27528 |
81900 |
41298 |
50040 |
27840 |
|
|
|
|
|
|
|
|
|
|
|
n |
82601 |
82602 |
82603 |
82604 |
82605 |
82606 |
82607 |
82608 |
82609 |
82610 |
φ(n) |
82600 |
25344 |
75264 |
40704 |
44048 |
40800 |
70800 |
27520 |
82608 |
30000 |
|
|
|
|
|
|
|
|
|
|
|
n |
82611 |
82612 |
82613 |
82614 |
82615 |
82616 |
82617 |
82618 |
82619 |
82620 |
φ(n) |
53856 |
39096 |
82612 |
23520 |
57600 |
39424 |
55076 |
40800 |
82618 |
20736 |
|
|
|
|
|
|
|
|
|
|
|
n |
82621 |
82622 |
82623 |
82624 |
82625 |
82626 |
82627 |
82628 |
82629 |
82630 |
φ(n) |
60480 |
40824 |
55080 |
41280 |
66000 |
26864 |
81016 |
32544 |
55080 |
33048 |
|
|
|
|
|
|
|
|
|
|
|
n |
82631 |
82632 |
82633 |
82634 |
82635 |
82636 |
82637 |
82638 |
82639 |
82640 |
φ(n) |
78264 |
24960 |
82632 |
40716 |
37728 |
40608 |
77760 |
27540 |
79024 |
33024 |
|
|
|
|
|
|
|
|
|
|
|
n |
82641 |
82642 |
82643 |
82644 |
82645 |
82646 |
82647 |
82648 |
82649 |
82650 |
φ(n) |
50544 |
35412 |
75020 |
26880 |
66112 |
39060 |
55080 |
41320 |
70836 |
20160 |
|
|
|
|
|
|
|
|
|
|
|
n |
82651 |
82652 |
82653 |
82654 |
82655 |
82656 |
82657 |
82658 |
82659 |
82660 |
φ(n) |
82650 |
41324 |
55100 |
32640 |
64800 |
23040 |
82656 |
40176 |
54056 |
33056 |
|
|
|
|
|
|
|
|
|
|
|
n |
82661 |
82662 |
82663 |
82664 |
82665 |
82666 |
82667 |
82668 |
82669 |
82670 |
φ(n) |
81900 |
26312 |
70560 |
41328 |
39840 |
41332 |
76296 |
27224 |
77976 |
28320 |
|
|
|
|
|
|
|
|
|
|
|
n |
82671 |
82672 |
82673 |
82674 |
82675 |
82676 |
82677 |
82678 |
82679 |
82680 |
φ(n) |
51840 |
41328 |
80868 |
27540 |
66120 |
37560 |
45360 |
40656 |
79800 |
19968 |
|
|
|
|
|
|
|
|
|
|
|
n |
82681 |
82682 |
82683 |
82684 |
82685 |
82686 |
82687 |
82688 |
82689 |
82690 |
φ(n) |
81664 |
41340 |
55116 |
35424 |
63184 |
27560 |
75160 |
36864 |
53760 |
33072 |
|
|
|
|
|
|
|
|
|
|
|
n |
82691 |
82692 |
82693 |
82694 |
82695 |
82696 |
82697 |
82698 |
82699 |
82700 |
φ(n) |
70872 |
27552 |
76320 |
40936 |
42624 |
41344 |
80640 |
21360 |
82698 |
33040 |
|
|
|
|
|
|
|
|
|
|
|
n |
82701 |
82702 |
82703 |
82704 |
82705 |
82706 |
82707 |
82708 |
82709 |
82710 |
φ(n) |
55080 |
41350 |
82080 |
27552 |
52992 |
38160 |
52200 |
36960 |
73440 |
22032 |
|
|
|
|
|
|
|
|
|
|
|
n |
82711 |
82712 |
82713 |
82714 |
82715 |
82716 |
82717 |
82718 |
82719 |
82720 |
φ(n) |
81832 |
35280 |
54288 |
41356 |
64960 |
26880 |
82080 |
40600 |
43200 |
29440 |
|
|
|
|
|
|
|
|
|
|
|
n |
82721 |
82722 |
82723 |
82724 |
82725 |
82726 |
82727 |
82728 |
82729 |
82730 |
φ(n) |
82720 |
25920 |
82722 |
41360 |
44080 |
33480 |
82726 |
27504 |
82728 |
33088 |
|
|
|
|
|
|
|
|
|
|
|
n |
82731 |
82732 |
82733 |
82734 |
82735 |
82736 |
82737 |
82738 |
82739 |
82740 |
φ(n) |
47520 |
36288 |
69264 |
27576 |
66184 |
41360 |
53088 |
40320 |
74880 |
18816 |
|
|
|
|
|
|
|
|
|
|
|
n |
82741 |
82742 |
82743 |
82744 |
82745 |
82746 |
82747 |
82748 |
82749 |
82750 |
φ(n) |
81792 |
37600 |
55160 |
41368 |
57024 |
27576 |
70920 |
40800 |
55164 |
33000 |
|
|
|
|
|
|
|
|
|
|
|
n |
82751 |
82752 |
82753 |
82754 |
82755 |
82756 |
82757 |
82758 |
82759 |
82760 |
φ(n) |
81672 |
27520 |
75220 |
33792 |
44064 |
38912 |
82756 |
25440 |
82758 |
33088 |
|
|
|
|
|
|
|
|
|
|
|
n |
82761 |
82762 |
82763 |
82764 |
82765 |
82766 |
82767 |
82768 |
82769 |
82770 |
φ(n) |
47208 |
41380 |
82762 |
23760 |
66208 |
39928 |
53912 |
35424 |
80496 |
21120 |
|
|
|
|
|
|
|
|
|
|
|
n |
82771 |
82772 |
82773 |
82774 |
82775 |
82776 |
82777 |
82778 |
82779 |
82780 |
φ(n) |
76392 |
41384 |
51840 |
41386 |
50400 |
27584 |
76560 |
41388 |
53760 |
33104 |
|
|
|
|
|
|
|
|
|
|
|
n |
82781 |
82782 |
82783 |
82784 |
82785 |
82786 |
82787 |
82788 |
82789 |
82790 |
φ(n) |
82780 |
23328 |
78408 |
38016 |
44144 |
36400 |
82786 |
27592 |
70956 |
31104 |
|
|
|
|
|
|
|
|
|
|
|
n |
82791 |
82792 |
82793 |
82794 |
82795 |
82796 |
82797 |
82798 |
82799 |
82800 |
φ(n) |
55188 |
40560 |
82792 |
27596 |
63840 |
35472 |
46080 |
41398 |
82798 |
21120 |
|
|
|
|
|
|
|
|
|
|
|
n |
82801 |
82802 |
82803 |
82804 |
82805 |
82806 |
82807 |
82808 |
82809 |
82810 |
φ(n) |
80100 |
39204 |
47304 |
40824 |
66240 |
26784 |
77920 |
37600 |
55188 |
26208 |
|
|
|
|
|
|
|
|
|
|
|
n |
82811 |
82812 |
82813 |
82814 |
82815 |
82816 |
82817 |
82818 |
82819 |
82820 |
φ(n) |
82810 |
26928 |
82812 |
40480 |
44160 |
41344 |
70980 |
26712 |
75280 |
32000 |
|
|
|
|
|
|
|
|
|
|
|
n |
82821 |
82822 |
82823 |
82824 |
82825 |
82826 |
82827 |
82828 |
82829 |
82830 |
φ(n) |
52272 |
41410 |
72864 |
21504 |
66240 |
41412 |
55212 |
41412 |
81984 |
20000 |
|
|
|
|
|
|
|
|
|
|
|
n |
82831 |
82832 |
82833 |
82834 |
82835 |
82836 |
82837 |
82838 |
82839 |
82840 |
φ(n) |
70992 |
39840 |
55220 |
40836 |
66264 |
25056 |
82836 |
34560 |
54080 |
31104 |
|
|
|
|
|
|
|
|
|
|
|
n |
82841 |
82842 |
82843 |
82844 |
82845 |
82846 |
82847 |
82848 |
82849 |
82850 |
φ(n) |
70720 |
27612 |
80568 |
40848 |
37728 |
39600 |
82846 |
27584 |
76464 |
33120 |
|
|
|
|
|
|
|
|
|
|
|
n |
82851 |
82852 |
82853 |
82854 |
82855 |
82856 |
82857 |
82858 |
82859 |
82860 |
φ(n) |
55232 |
32160 |
79968 |
27612 |
65088 |
41424 |
54320 |
38976 |
66528 |
22080 |
|
|
|
|
|
|
|
|
|
|
|
n |
82861 |
82862 |
82863 |
82864 |
82865 |
82866 |
82867 |
82868 |
82869 |
82870 |
φ(n) |
77280 |
38232 |
48600 |
41424 |
66288 |
23664 |
82216 |
41432 |
52800 |
33144 |
|
|
|
|
|
|
|
|
|
|
|
n |
82871 |
82872 |
82873 |
82874 |
82875 |
82876 |
82877 |
82878 |
82879 |
82880 |
φ(n) |
81744 |
27600 |
71028 |
37660 |
38400 |
41436 |
82236 |
26136 |
81576 |
27648 |
|
|
|
|
|
|
|
|
|
|
|
n |
82881 |
82882 |
82883 |
82884 |
82885 |
82886 |
82887 |
82888 |
82889 |
82890 |
φ(n) |
55248 |
39984 |
82882 |
27624 |
59840 |
41442 |
47352 |
38208 |
82888 |
22032 |
|
|
|
|
|
|
|
|
|
|
|
n |
82891 |
82892 |
82893 |
82894 |
82895 |
82896 |
82897 |
82898 |
82899 |
82900 |
φ(n) |
82890 |
36608 |
55260 |
34200 |
64960 |
24960 |
78516 |
41040 |
54000 |
33120 |
|
|
|
|
|
|
|
|
|
|
|
n |
82901 |
82902 |
82903 |
82904 |
82905 |
82906 |
82907 |
82908 |
82909 |
82910 |
φ(n) |
65520 |
26880 |
82902 |
40320 |
44208 |
41452 |
75360 |
23184 |
78016 |
33160 |
|
|
|
|
|
|
|
|
|
|
|
n |
82911 |
82912 |
82913 |
82914 |
82915 |
82916 |
82917 |
82918 |
82919 |
82920 |
φ(n) |
53312 |
41440 |
82912 |
25488 |
53856 |
39240 |
53136 |
37680 |
82344 |
22080 |
|
|
|
|
|
|
|
|
|
|
|
n |
82921 |
82922 |
82923 |
82924 |
82925 |
82926 |
82927 |
82928 |
82929 |
82930 |
φ(n) |
82000 |
35532 |
54600 |
41460 |
63600 |
25920 |
76536 |
40320 |
42960 |
33168 |
|
|
|
|
|
|
|
|
|
|
|
n |
82931 |
82932 |
82933 |
82934 |
82935 |
82936 |
82937 |
82938 |
82939 |
82940 |
φ(n) |
82152 |
27640 |
82348 |
41466 |
41472 |
35520 |
82320 |
26400 |
82938 |
26880 |
|
|
|
|
|
|
|
|
|
|
|
n |
82941 |
82942 |
82943 |
82944 |
82945 |
82946 |
82947 |
82948 |
82949 |
82950 |
φ(n) |
55292 |
40992 |
65280 |
27648 |
64896 |
40788 |
53928 |
40832 |
82080 |
18720 |
|
|
|
|
|
|
|
|
|
|
|
n |
82951 |
82952 |
82953 |
82954 |
82955 |
82956 |
82957 |
82958 |
82959 |
82960 |
φ(n) |
75400 |
41472 |
50976 |
37584 |
64768 |
26640 |
71064 |
41478 |
55304 |
30720 |
|
|
|
|
|
|
|
|
|
|
|
n |
82961 |
82962 |
82963 |
82964 |
82965 |
82966 |
82967 |
82968 |
82969 |
82970 |
φ(n) |
79332 |
25080 |
82962 |
35544 |
44240 |
38280 |
82296 |
27648 |
80080 |
33184 |
|
|
|
|
|
|
|
|
|
|
|
n |
82971 |
82972 |
82973 |
82974 |
82975 |
82976 |
82977 |
82978 |
82979 |
82980 |
φ(n) |
47304 |
41484 |
71280 |
27656 |
66360 |
41472 |
52032 |
35556 |
76440 |
22080 |
|
|
|
|
|
|
|
|
|
|
|
n |
82981 |
82982 |
82983 |
82984 |
82985 |
82986 |
82987 |
82988 |
82989 |
82990 |
φ(n) |
82980 |
41490 |
54648 |
35200 |
56880 |
27660 |
80280 |
41492 |
55320 |
32256 |
|
|
|
|
|
|
|
|
|
|
|
n |
82991 |
82992 |
82993 |
82994 |
82995 |
82996 |
82997 |
82998 |
82999 |
83000 |
φ(n) |
80712 |
20736 |
82288 |
39040 |
40160 |
41496 |
82996 |
26208 |
69720 |
32800 |
|
|
|
|
|
|
|
|
|
|
|
J.P. Martin-Flatin