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Euler's Totient Function for n = 32001..33000
Euler's Totient Function for n = 32001..33000
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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 |
32001 |
32002 |
32003 |
32004 |
32005 |
32006 |
32007 |
32008 |
32009 |
32010 |
φ(n) |
21332 |
16000 |
32002 |
9072 |
24768 |
14760 |
20792 |
16000 |
32008 |
7680 |
|
|
|
|
|
|
|
|
|
|
|
n |
32011 |
32012 |
32013 |
32014 |
32015 |
32016 |
32017 |
32018 |
32019 |
32020 |
φ(n) |
25728 |
15600 |
21336 |
16006 |
24192 |
9856 |
31600 |
13716 |
19680 |
12800 |
|
|
|
|
|
|
|
|
|
|
|
n |
32021 |
32022 |
32023 |
32024 |
32025 |
32026 |
32027 |
32028 |
32029 |
32030 |
φ(n) |
28000 |
10656 |
30960 |
16008 |
14400 |
15708 |
32026 |
9984 |
32028 |
12808 |
|
|
|
|
|
|
|
|
|
|
|
n |
32031 |
32032 |
32033 |
32034 |
32035 |
32036 |
32037 |
32038 |
32039 |
32040 |
φ(n) |
21348 |
11520 |
31620 |
10080 |
24864 |
16016 |
20880 |
15744 |
26136 |
8448 |
|
|
|
|
|
|
|
|
|
|
|
n |
32041 |
32042 |
32043 |
32044 |
32045 |
32046 |
32047 |
32048 |
32049 |
32050 |
φ(n) |
31862 |
15552 |
19400 |
16020 |
21504 |
9072 |
31536 |
16016 |
21348 |
12800 |
|
|
|
|
|
|
|
|
|
|
|
n |
32051 |
32052 |
32053 |
32054 |
32055 |
32056 |
32057 |
32058 |
32059 |
32060 |
φ(n) |
32050 |
10680 |
25920 |
13800 |
17088 |
16024 |
32056 |
9792 |
32058 |
10944 |
|
|
|
|
|
|
|
|
|
|
|
n |
32061 |
32062 |
32063 |
32064 |
32065 |
32066 |
32067 |
32068 |
32069 |
32070 |
φ(n) |
21372 |
14080 |
32062 |
10624 |
22880 |
16032 |
18288 |
16032 |
32068 |
8544 |
|
|
|
|
|
|
|
|
|
|
|
n |
32071 |
32072 |
32073 |
32074 |
32075 |
32076 |
32077 |
32078 |
32079 |
32080 |
φ(n) |
29592 |
15120 |
21380 |
13104 |
25640 |
9720 |
32076 |
15624 |
19584 |
12800 |
|
|
|
|
|
|
|
|
|
|
|
n |
32081 |
32082 |
32083 |
32084 |
32085 |
32086 |
32087 |
32088 |
32089 |
32090 |
φ(n) |
27492 |
10692 |
32082 |
14784 |
15840 |
15720 |
29160 |
9120 |
32088 |
12832 |
|
|
|
|
|
|
|
|
|
|
|
n |
32091 |
32092 |
32093 |
32094 |
32095 |
32096 |
32097 |
32098 |
32099 |
32100 |
φ(n) |
20232 |
15680 |
31548 |
10692 |
21840 |
14848 |
19728 |
14580 |
32098 |
8480 |
|
|
|
|
|
|
|
|
|
|
|
n |
32101 |
32102 |
32103 |
32104 |
32105 |
32106 |
32107 |
32108 |
32109 |
32110 |
φ(n) |
31372 |
13752 |
20160 |
16048 |
25680 |
10700 |
31680 |
15312 |
16560 |
11232 |
|
|
|
|
|
|
|
|
|
|
|
n |
32111 |
32112 |
32113 |
32114 |
32115 |
32116 |
32117 |
32118 |
32119 |
32120 |
φ(n) |
31752 |
10656 |
30208 |
16056 |
17120 |
12960 |
32116 |
10400 |
32118 |
11520 |
|
|
|
|
|
|
|
|
|
|
|
n |
32121 |
32122 |
32123 |
32124 |
32125 |
32126 |
32127 |
32128 |
32129 |
32130 |
φ(n) |
20664 |
16060 |
25344 |
10704 |
25600 |
16062 |
21416 |
16000 |
30096 |
6912 |
|
|
|
|
|
|
|
|
|
|
|
n |
32131 |
32132 |
32133 |
32134 |
32135 |
32136 |
32137 |
32138 |
32139 |
32140 |
φ(n) |
27720 |
15456 |
21420 |
16066 |
25704 |
9792 |
27540 |
16068 |
21420 |
12848 |
|
|
|
|
|
|
|
|
|
|
|
n |
32141 |
32142 |
32143 |
32144 |
32145 |
32146 |
32147 |
32148 |
32149 |
32150 |
φ(n) |
32140 |
9720 |
32142 |
13440 |
17136 |
16072 |
28800 |
9936 |
29664 |
12840 |
|
|
|
|
|
|
|
|
|
|
|
n |
32151 |
32152 |
32153 |
32154 |
32155 |
32156 |
32157 |
32158 |
32159 |
32160 |
φ(n) |
18360 |
16072 |
28080 |
10208 |
25056 |
16076 |
21384 |
13776 |
32158 |
8448 |
|
|
|
|
|
|
|
|
|
|
|
n |
32161 |
32162 |
32163 |
32164 |
32165 |
32166 |
32167 |
32168 |
32169 |
32170 |
φ(n) |
31024 |
14832 |
21000 |
13440 |
22032 |
10716 |
30456 |
16080 |
21444 |
12864 |
|
|
|
|
|
|
|
|
|
|
|
n |
32171 |
32172 |
32173 |
32174 |
32175 |
32176 |
32177 |
32178 |
32179 |
32180 |
φ(n) |
31512 |
9168 |
32172 |
16086 |
14400 |
16080 |
30756 |
10320 |
27576 |
12864 |
|
|
|
|
|
|
|
|
|
|
|
n |
32181 |
32182 |
32183 |
32184 |
32185 |
32186 |
32187 |
32188 |
32189 |
32190 |
φ(n) |
20160 |
16090 |
32182 |
10656 |
24960 |
11880 |
21456 |
14832 |
32188 |
8064 |
|
|
|
|
|
|
|
|
|
|
|
n |
32191 |
32192 |
32193 |
32194 |
32195 |
32196 |
32197 |
32198 |
32199 |
32200 |
φ(n) |
32190 |
16064 |
18144 |
16096 |
25024 |
10728 |
29260 |
15136 |
21464 |
10560 |
|
|
|
|
|
|
|
|
|
|
|
n |
32201 |
32202 |
32203 |
32204 |
32205 |
32206 |
32207 |
32208 |
32209 |
32210 |
φ(n) |
29712 |
10728 |
32202 |
15744 |
16128 |
16102 |
26712 |
9600 |
31140 |
12880 |
|
|
|
|
|
|
|
|
|
|
|
n |
32211 |
32212 |
32213 |
32214 |
32215 |
32216 |
32217 |
32218 |
32219 |
32220 |
φ(n) |
21456 |
16104 |
32212 |
8352 |
24192 |
16104 |
21476 |
15840 |
28000 |
8544 |
|
|
|
|
|
|
|
|
|
|
|
n |
32221 |
32222 |
32223 |
32224 |
32225 |
32226 |
32227 |
32228 |
32229 |
32230 |
φ(n) |
27612 |
16110 |
20504 |
14976 |
25760 |
10400 |
28512 |
13800 |
21480 |
11680 |
|
|
|
|
|
|
|
|
|
|
|
n |
32231 |
32232 |
32233 |
32234 |
32235 |
32236 |
32237 |
32238 |
32239 |
32240 |
φ(n) |
31872 |
9984 |
32232 |
15820 |
14688 |
16116 |
32236 |
10692 |
31824 |
11520 |
|
|
|
|
|
|
|
|
|
|
|
n |
32241 |
32242 |
32243 |
32244 |
32245 |
32246 |
32247 |
32248 |
32249 |
32250 |
φ(n) |
19520 |
13524 |
30528 |
10744 |
25792 |
15400 |
21492 |
15456 |
25920 |
8400 |
|
|
|
|
|
|
|
|
|
|
|
n |
32251 |
32252 |
32253 |
32254 |
32255 |
32256 |
32257 |
32258 |
32259 |
32260 |
φ(n) |
32250 |
14640 |
19824 |
16126 |
25800 |
9216 |
32256 |
16002 |
21504 |
12896 |
|
|
|
|
|
|
|
|
|
|
|
n |
32261 |
32262 |
32263 |
32264 |
32265 |
32266 |
32267 |
32268 |
32269 |
32270 |
φ(n) |
32260 |
10152 |
25080 |
15552 |
17136 |
13824 |
31440 |
10752 |
30360 |
11040 |
|
|
|
|
|
|
|
|
|
|
|
n |
32271 |
32272 |
32273 |
32274 |
32275 |
32276 |
32277 |
32278 |
32279 |
32280 |
φ(n) |
20760 |
16128 |
31668 |
9720 |
25800 |
16136 |
17472 |
16138 |
29640 |
8576 |
|
|
|
|
|
|
|
|
|
|
|
n |
32281 |
32282 |
32283 |
32284 |
32285 |
32286 |
32287 |
32288 |
32289 |
32290 |
φ(n) |
30564 |
16140 |
20160 |
13824 |
23440 |
10760 |
31816 |
16128 |
20976 |
12912 |
|
|
|
|
|
|
|
|
|
|
|
n |
32291 |
32292 |
32293 |
32294 |
32295 |
32296 |
32297 |
32298 |
32299 |
32300 |
φ(n) |
27636 |
9504 |
31500 |
15840 |
17216 |
14640 |
32296 |
9216 |
32298 |
11520 |
|
|
|
|
|
|
|
|
|
|
|
n |
32301 |
32302 |
32303 |
32304 |
32305 |
32306 |
32307 |
32308 |
32309 |
32310 |
φ(n) |
20736 |
15600 |
32302 |
10752 |
20160 |
15568 |
19360 |
15680 |
32308 |
8592 |
|
|
|
|
|
|
|
|
|
|
|
n |
32311 |
32312 |
32313 |
32314 |
32315 |
32316 |
32317 |
32318 |
32319 |
32320 |
φ(n) |
31824 |
13824 |
21540 |
15900 |
24640 |
10768 |
30400 |
13440 |
17496 |
12800 |
|
|
|
|
|
|
|
|
|
|
|
n |
32321 |
32322 |
32323 |
32324 |
32325 |
32326 |
32327 |
32328 |
32329 |
32330 |
φ(n) |
32320 |
10772 |
32322 |
16160 |
17200 |
13848 |
32326 |
10752 |
29380 |
12480 |
|
|
|
|
|
|
|
|
|
|
|
n |
32331 |
32332 |
32333 |
32334 |
32335 |
32336 |
32337 |
32338 |
32339 |
32340 |
φ(n) |
19872 |
15776 |
26640 |
10112 |
24864 |
15456 |
21552 |
14256 |
31824 |
6720 |
|
|
|
|
|
|
|
|
|
|
|
n |
32341 |
32342 |
32343 |
32344 |
32345 |
32346 |
32347 |
32348 |
32349 |
32350 |
φ(n) |
32340 |
15912 |
21560 |
14880 |
25872 |
10764 |
27720 |
16172 |
20960 |
12920 |
|
|
|
|
|
|
|
|
|
|
|
n |
32351 |
32352 |
32353 |
32354 |
32355 |
32356 |
32357 |
32358 |
32359 |
32360 |
φ(n) |
27520 |
10752 |
32352 |
13860 |
17232 |
16176 |
28080 |
10784 |
32358 |
12928 |
|
|
|
|
|
|
|
|
|
|
|
n |
32361 |
32362 |
32363 |
32364 |
32365 |
32366 |
32367 |
32368 |
32369 |
32370 |
φ(n) |
17424 |
14700 |
32362 |
10080 |
25888 |
16182 |
21576 |
13056 |
32368 |
7872 |
|
|
|
|
|
|
|
|
|
|
|
n |
32371 |
32372 |
32373 |
32374 |
32375 |
32376 |
32377 |
32378 |
32379 |
32380 |
φ(n) |
32370 |
16184 |
19440 |
16186 |
21600 |
10080 |
32376 |
16188 |
21000 |
12944 |
|
|
|
|
|
|
|
|
|
|
|
n |
32381 |
32382 |
32383 |
32384 |
32385 |
32386 |
32387 |
32388 |
32389 |
32390 |
φ(n) |
32380 |
9216 |
28704 |
14080 |
16128 |
16192 |
32016 |
10792 |
27720 |
12480 |
|
|
|
|
|
|
|
|
|
|
|
n |
32391 |
32392 |
32393 |
32394 |
32395 |
32396 |
32397 |
32398 |
32399 |
32400 |
φ(n) |
20880 |
16192 |
31248 |
10796 |
21600 |
12672 |
21596 |
15936 |
32040 |
8640 |
|
|
|
|
|
|
|
|
|
|
|
n |
32401 |
32402 |
32403 |
32404 |
32405 |
32406 |
32407 |
32408 |
32409 |
32410 |
φ(n) |
32400 |
15232 |
18504 |
16200 |
25920 |
9800 |
30976 |
16200 |
19872 |
11088 |
|
|
|
|
|
|
|
|
|
|
|
n |
32411 |
32412 |
32413 |
32414 |
32415 |
32416 |
32417 |
32418 |
32419 |
32420 |
φ(n) |
32410 |
10368 |
32412 |
15336 |
17280 |
16192 |
25200 |
10800 |
30496 |
12960 |
|
|
|
|
|
|
|
|
|
|
|
n |
32421 |
32422 |
32423 |
32424 |
32425 |
32426 |
32427 |
32428 |
32429 |
32430 |
φ(n) |
21200 |
14112 |
32422 |
9216 |
25920 |
15660 |
21600 |
14520 |
32428 |
8096 |
|
|
|
|
|
|
|
|
|
|
|
n |
32431 |
32432 |
32433 |
32434 |
32435 |
32436 |
32437 |
32438 |
32439 |
32440 |
φ(n) |
26880 |
16208 |
20448 |
16216 |
23904 |
9984 |
32076 |
13860 |
19640 |
12960 |
|
|
|
|
|
|
|
|
|
|
|
n |
32441 |
32442 |
32443 |
32444 |
32445 |
32446 |
32447 |
32448 |
32449 |
32450 |
φ(n) |
32440 |
10812 |
32442 |
16220 |
14688 |
16222 |
31920 |
9984 |
31536 |
11600 |
|
|
|
|
|
|
|
|
|
|
|
n |
32451 |
32452 |
32453 |
32454 |
32455 |
32456 |
32457 |
32458 |
32459 |
32460 |
φ(n) |
20832 |
12960 |
28864 |
10800 |
25960 |
16224 |
20880 |
16228 |
27816 |
8640 |
|
|
|
|
|
|
|
|
|
|
|
n |
32461 |
32462 |
32463 |
32464 |
32465 |
32466 |
32467 |
32468 |
32469 |
32470 |
φ(n) |
27120 |
16230 |
21636 |
16224 |
25200 |
9264 |
32466 |
16232 |
21216 |
12160 |
|
|
|
|
|
|
|
|
|
|
|
n |
32471 |
32472 |
32473 |
32474 |
32475 |
32476 |
32477 |
32478 |
32479 |
32480 |
φ(n) |
30744 |
9600 |
27828 |
14976 |
17280 |
15488 |
31740 |
10824 |
32478 |
10752 |
|
|
|
|
|
|
|
|
|
|
|
n |
32481 |
32482 |
32483 |
32484 |
32485 |
32486 |
32487 |
32488 |
32489 |
32490 |
φ(n) |
21600 |
15984 |
29520 |
10824 |
25344 |
15768 |
16128 |
15600 |
31824 |
8208 |
|
|
|
|
|
|
|
|
|
|
|
n |
32491 |
32492 |
32493 |
32494 |
32495 |
32496 |
32497 |
32498 |
32499 |
32500 |
φ(n) |
32490 |
16244 |
21660 |
12600 |
25344 |
10816 |
32496 |
16248 |
20592 |
12000 |
|
|
|
|
|
|
|
|
|
|
|
n |
32501 |
32502 |
32503 |
32504 |
32505 |
32506 |
32507 |
32508 |
32509 |
32510 |
φ(n) |
27852 |
10832 |
32502 |
15232 |
15680 |
16252 |
32506 |
9072 |
29232 |
13000 |
|
|
|
|
|
|
|
|
|
|
|
n |
32511 |
32512 |
32513 |
32514 |
32515 |
32516 |
32517 |
32518 |
32519 |
32520 |
φ(n) |
21672 |
16128 |
28800 |
10836 |
22272 |
14760 |
21672 |
15960 |
31440 |
8640 |
|
|
|
|
|
|
|
|
|
|
|
n |
32521 |
32522 |
32523 |
32524 |
32525 |
32526 |
32527 |
32528 |
32529 |
32530 |
φ(n) |
30592 |
13200 |
21024 |
15824 |
26000 |
9936 |
29560 |
15264 |
18576 |
13008 |
|
|
|
|
|
|
|
|
|
|
|
n |
32531 |
32532 |
32533 |
32534 |
32535 |
32536 |
32537 |
32538 |
32539 |
32540 |
φ(n) |
32530 |
10840 |
32532 |
16266 |
17280 |
13776 |
32536 |
8960 |
30024 |
13008 |
|
|
|
|
|
|
|
|
|
|
|
n |
32541 |
32542 |
32543 |
32544 |
32545 |
32546 |
32547 |
32548 |
32549 |
32550 |
φ(n) |
21692 |
15912 |
27888 |
10752 |
24816 |
16272 |
20520 |
15912 |
29480 |
7200 |
|
|
|
|
|
|
|
|
|
|
|
n |
32551 |
32552 |
32553 |
32554 |
32555 |
32556 |
32557 |
32558 |
32559 |
32560 |
φ(n) |
31752 |
14976 |
21696 |
15840 |
24448 |
10848 |
27900 |
15984 |
21704 |
11520 |
|
|
|
|
|
|
|
|
|
|
|
n |
32561 |
32562 |
32563 |
32564 |
32565 |
32566 |
32567 |
32568 |
32569 |
32570 |
φ(n) |
32560 |
10692 |
32562 |
13944 |
15936 |
15408 |
31416 |
10208 |
32568 |
13024 |
|
|
|
|
|
|
|
|
|
|
|
n |
32571 |
32572 |
32573 |
32574 |
32575 |
32576 |
32577 |
32578 |
32579 |
32580 |
φ(n) |
16560 |
15296 |
32572 |
10560 |
26040 |
16256 |
21716 |
12816 |
32578 |
8640 |
|
|
|
|
|
|
|
|
|
|
|
n |
32581 |
32582 |
32583 |
32584 |
32585 |
32586 |
32587 |
32588 |
32589 |
32590 |
φ(n) |
31500 |
14800 |
21720 |
16288 |
21168 |
10860 |
32586 |
16292 |
20160 |
13032 |
|
|
|
|
|
|
|
|
|
|
|
n |
32591 |
32592 |
32593 |
32594 |
32595 |
32596 |
32597 |
32598 |
32599 |
32600 |
φ(n) |
28512 |
9216 |
29620 |
15876 |
16640 |
15680 |
31680 |
10860 |
27936 |
12960 |
|
|
|
|
|
|
|
|
|
|
|
n |
32601 |
32602 |
32603 |
32604 |
32605 |
32606 |
32607 |
32608 |
32609 |
32610 |
φ(n) |
21732 |
16300 |
32602 |
8640 |
26080 |
13056 |
21732 |
16288 |
32608 |
8688 |
|
|
|
|
|
|
|
|
|
|
|
n |
32611 |
32612 |
32613 |
32614 |
32615 |
32616 |
32617 |
32618 |
32619 |
32620 |
φ(n) |
32610 |
15720 |
18624 |
15576 |
23680 |
10800 |
29952 |
15916 |
21320 |
11136 |
|
|
|
|
|
|
|
|
|
|
|
n |
32621 |
32622 |
32623 |
32624 |
32625 |
32626 |
32627 |
32628 |
32629 |
32630 |
φ(n) |
32620 |
10872 |
28800 |
16304 |
16800 |
14820 |
27144 |
10872 |
32076 |
12000 |
|
|
|
|
|
|
|
|
|
|
|
n |
32631 |
32632 |
32633 |
32634 |
32635 |
32636 |
32637 |
32638 |
32639 |
32640 |
φ(n) |
21312 |
16312 |
32632 |
9072 |
25440 |
15840 |
18480 |
16318 |
32256 |
8192 |
|
|
|
|
|
|
|
|
|
|
|
n |
32641 |
32642 |
32643 |
32644 |
32645 |
32646 |
32647 |
32648 |
32649 |
32650 |
φ(n) |
27972 |
15444 |
19440 |
16320 |
26112 |
10880 |
32646 |
12480 |
21764 |
13040 |
|
|
|
|
|
|
|
|
|
|
|
n |
32651 |
32652 |
32653 |
32654 |
32655 |
32656 |
32657 |
32658 |
32659 |
32660 |
φ(n) |
32232 |
10872 |
32652 |
15736 |
14880 |
14976 |
30464 |
10884 |
29680 |
12320 |
|
|
|
|
|
|
|
|
|
|
|
n |
32661 |
32662 |
32663 |
32664 |
32665 |
32666 |
32667 |
32668 |
32669 |
32670 |
φ(n) |
20520 |
13992 |
32208 |
10880 |
25392 |
16332 |
21776 |
16332 |
25776 |
7920 |
|
|
|
|
|
|
|
|
|
|
|
n |
32671 |
32672 |
32673 |
32674 |
32675 |
32676 |
32677 |
32678 |
32679 |
32680 |
φ(n) |
31752 |
16320 |
21780 |
14880 |
26120 |
9312 |
31840 |
16338 |
21780 |
12096 |
|
|
|
|
|
|
|
|
|
|
|
n |
32681 |
32682 |
32683 |
32684 |
32685 |
32686 |
32687 |
32688 |
32689 |
32690 |
φ(n) |
29700 |
10032 |
25872 |
16340 |
17424 |
16008 |
32686 |
10848 |
32256 |
11184 |
|
|
|
|
|
|
|
|
|
|
|
n |
32691 |
32692 |
32693 |
32694 |
32695 |
32696 |
32697 |
32698 |
32699 |
32700 |
φ(n) |
20480 |
14840 |
32692 |
10896 |
24096 |
15840 |
18576 |
16348 |
30960 |
8640 |
|
|
|
|
|
|
|
|
|
|
|
n |
32701 |
32702 |
32703 |
32704 |
32705 |
32706 |
32707 |
32708 |
32709 |
32710 |
φ(n) |
32032 |
16072 |
19800 |
13824 |
25200 |
10296 |
32706 |
13824 |
21804 |
13080 |
|
|
|
|
|
|
|
|
|
|
|
n |
32711 |
32712 |
32713 |
32714 |
32715 |
32716 |
32717 |
32718 |
32719 |
32720 |
φ(n) |
28032 |
10304 |
32712 |
14860 |
17424 |
16356 |
32716 |
8640 |
32718 |
13056 |
|
|
|
|
|
|
|
|
|
|
|
n |
32721 |
32722 |
32723 |
32724 |
32725 |
32726 |
32727 |
32728 |
32729 |
32730 |
φ(n) |
20112 |
16360 |
31920 |
10800 |
19200 |
16362 |
21816 |
16360 |
31284 |
8720 |
|
|
|
|
|
|
|
|
|
|
|
n |
32731 |
32732 |
32733 |
32734 |
32735 |
32736 |
32737 |
32738 |
32739 |
32740 |
φ(n) |
32200 |
13944 |
21816 |
15096 |
26184 |
9600 |
30996 |
16368 |
18696 |
13088 |
|
|
|
|
|
|
|
|
|
|
|
n |
32741 |
32742 |
32743 |
32744 |
32745 |
32746 |
32747 |
32748 |
32749 |
32750 |
φ(n) |
31584 |
10176 |
32368 |
16368 |
16704 |
14028 |
27360 |
10912 |
32748 |
13000 |
|
|
|
|
|
|
|
|
|
|
|
n |
32751 |
32752 |
32753 |
32754 |
32755 |
32756 |
32757 |
32758 |
32759 |
32760 |
φ(n) |
21816 |
15488 |
28068 |
10608 |
26200 |
15480 |
21360 |
14880 |
29440 |
6912 |
|
|
|
|
|
|
|
|
|
|
|
n |
32761 |
32762 |
32763 |
32764 |
32765 |
32766 |
32767 |
32768 |
32769 |
32770 |
φ(n) |
32580 |
16380 |
21384 |
16380 |
26208 |
10584 |
27000 |
16384 |
19800 |
12544 |
|
|
|
|
|
|
|
|
|
|
|
n |
32771 |
32772 |
32773 |
32774 |
32775 |
32776 |
32777 |
32778 |
32779 |
32780 |
φ(n) |
32770 |
10920 |
30240 |
14040 |
15840 |
15360 |
32256 |
10908 |
32778 |
11840 |
|
|
|
|
|
|
|
|
|
|
|
n |
32781 |
32782 |
32783 |
32784 |
32785 |
32786 |
32787 |
32788 |
32789 |
32790 |
φ(n) |
18648 |
15912 |
32782 |
10912 |
25584 |
14976 |
21852 |
14040 |
32788 |
8736 |
|
|
|
|
|
|
|
|
|
|
|
n |
32791 |
32792 |
32793 |
32794 |
32795 |
32796 |
32797 |
32798 |
32799 |
32800 |
φ(n) |
29700 |
16392 |
20544 |
15516 |
22464 |
10920 |
32796 |
15180 |
19488 |
12800 |
|
|
|
|
|
|
|
|
|
|
|
n |
32801 |
32802 |
32803 |
32804 |
32805 |
32806 |
32807 |
32808 |
32809 |
32810 |
φ(n) |
32800 |
8400 |
32802 |
16008 |
17496 |
16008 |
32136 |
10928 |
27216 |
12288 |
|
|
|
|
|
|
|
|
|
|
|
n |
32811 |
32812 |
32813 |
32814 |
32815 |
32816 |
32817 |
32818 |
32819 |
32820 |
φ(n) |
21872 |
15120 |
28080 |
10932 |
26248 |
14016 |
21876 |
16080 |
31896 |
8736 |
|
|
|
|
|
|
|
|
|
|
|
n |
32821 |
32822 |
32823 |
32824 |
32825 |
32826 |
32827 |
32828 |
32829 |
32830 |
φ(n) |
31372 |
16410 |
18720 |
14880 |
24000 |
10940 |
30880 |
15792 |
21120 |
11088 |
|
|
|
|
|
|
|
|
|
|
|
n |
32831 |
32832 |
32833 |
32834 |
32835 |
32836 |
32837 |
32838 |
32839 |
32840 |
φ(n) |
32830 |
10368 |
32832 |
16416 |
15840 |
16416 |
28140 |
10080 |
32838 |
13120 |
|
|
|
|
|
|
|
|
|
|
|
n |
32841 |
32842 |
32843 |
32844 |
32845 |
32846 |
32847 |
32848 |
32849 |
32850 |
φ(n) |
21120 |
16420 |
32842 |
8448 |
26272 |
14920 |
21896 |
16416 |
32436 |
8640 |
|
|
|
|
|
|
|
|
|
|
|
n |
32851 |
32852 |
32853 |
32854 |
32855 |
32856 |
32857 |
32858 |
32859 |
32860 |
φ(n) |
24624 |
15960 |
21344 |
16426 |
26280 |
10656 |
28560 |
14076 |
21888 |
12480 |
|
|
|
|
|
|
|
|
|
|
|
n |
32861 |
32862 |
32863 |
32864 |
32865 |
32866 |
32867 |
32868 |
32869 |
32870 |
φ(n) |
30912 |
10952 |
32248 |
14976 |
14976 |
16432 |
31416 |
9840 |
32868 |
12384 |
|
|
|
|
|
|
|
|
|
|
|
n |
32871 |
32872 |
32873 |
32874 |
32875 |
32876 |
32877 |
32878 |
32879 |
32880 |
φ(n) |
21912 |
14064 |
32340 |
10956 |
26200 |
16436 |
20160 |
15456 |
25200 |
8704 |
|
|
|
|
|
|
|
|
|
|
|
n |
32881 |
32882 |
32883 |
32884 |
32885 |
32886 |
32887 |
32888 |
32889 |
32890 |
φ(n) |
32500 |
16000 |
21504 |
16440 |
26304 |
9072 |
32886 |
16440 |
20736 |
10560 |
|
|
|
|
|
|
|
|
|
|
|
n |
32891 |
32892 |
32893 |
32894 |
32895 |
32896 |
32897 |
32898 |
32899 |
32900 |
φ(n) |
31800 |
10960 |
27216 |
16446 |
16128 |
16384 |
32340 |
10964 |
32536 |
11040 |
|
|
|
|
|
|
|
|
|
|
|
n |
32901 |
32902 |
32903 |
32904 |
32905 |
32906 |
32907 |
32908 |
32909 |
32910 |
φ(n) |
19920 |
16450 |
30360 |
10944 |
26320 |
16452 |
18792 |
15552 |
32908 |
8768 |
|
|
|
|
|
|
|
|
|
|
|
n |
32911 |
32912 |
32913 |
32914 |
32915 |
32916 |
32917 |
32918 |
32919 |
32920 |
φ(n) |
32910 |
14080 |
20592 |
14100 |
25312 |
10080 |
32916 |
16200 |
21944 |
13152 |
|
|
|
|
|
|
|
|
|
|
|
n |
32921 |
32922 |
32923 |
32924 |
32925 |
32926 |
32927 |
32928 |
32929 |
32930 |
φ(n) |
28212 |
10440 |
28800 |
16460 |
17520 |
16200 |
31176 |
9408 |
28416 |
12672 |
|
|
|
|
|
|
|
|
|
|
|
n |
32931 |
32932 |
32933 |
32934 |
32935 |
32936 |
32937 |
32938 |
32939 |
32940 |
φ(n) |
21948 |
16464 |
32932 |
9960 |
22560 |
15664 |
21956 |
16044 |
32938 |
8640 |
|
|
|
|
|
|
|
|
|
|
|
n |
32941 |
32942 |
32943 |
32944 |
32945 |
32946 |
32947 |
32948 |
32949 |
32950 |
φ(n) |
32940 |
12960 |
21528 |
15680 |
23920 |
9792 |
32200 |
16472 |
18792 |
13160 |
|
|
|
|
|
|
|
|
|
|
|
n |
32951 |
32952 |
32953 |
32954 |
32955 |
32956 |
32957 |
32958 |
32959 |
32960 |
φ(n) |
32472 |
10976 |
31860 |
16476 |
16224 |
12720 |
32956 |
10980 |
31504 |
13056 |
|
|
|
|
|
|
|
|
|
|
|
n |
32961 |
32962 |
32963 |
32964 |
32965 |
32966 |
32967 |
32968 |
32969 |
32970 |
φ(n) |
21972 |
16480 |
26496 |
10560 |
24912 |
16120 |
19440 |
15168 |
32968 |
7488 |
|
|
|
|
|
|
|
|
|
|
|
n |
32971 |
32972 |
32973 |
32974 |
32975 |
32976 |
32977 |
32978 |
32979 |
32980 |
φ(n) |
32970 |
16484 |
21168 |
16486 |
26360 |
10944 |
28224 |
14980 |
21984 |
12288 |
|
|
|
|
|
|
|
|
|
|
|
n |
32981 |
32982 |
32983 |
32984 |
32985 |
32986 |
32987 |
32988 |
32989 |
32990 |
φ(n) |
29232 |
10472 |
32982 |
12960 |
17568 |
16492 |
32986 |
10992 |
29980 |
13192 |
|
|
|
|
|
|
|
|
|
|
|
n |
32991 |
32992 |
32993 |
32994 |
32995 |
32996 |
32997 |
32998 |
32999 |
33000 |
φ(n) |
18840 |
16480 |
32992 |
9936 |
26392 |
16128 |
20672 |
14136 |
32998 |
8000 |
|
|
|
|
|
|
|
|
|
|
|
J.P. Martin-Flatin