]> Euler's Totient Function for n = 92001..93000

Euler's Totient Function for n = 92001..93000

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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	92001	92002	92003	92004	92005	92006	92007	92008	92009	92010
φ(n)	48384	45552	92002	25600	73600	45568	61332	37440	92008	24528

n	92011	92012	92013	92014	92015	92016	92017	92018	92019	92020
φ(n)	91000	46004	61340	42456	57120	30240	83664	45540	59616	35616

n	92021	92022	92023	92024	92025	92026	92027	92028	92029	92030
φ(n)	86592	26208	88000	46008	48960	40480	84936	30672	78876	36808

n	92031	92032	92033	92034	92035	92036	92037	92038	92039	92040
φ(n)	61352	45952	92032	30672	72384	37152	55760	43296	89040	22272

n	92041	92042	92043	92044	92045	92046	92047	92048	92049	92050
φ(n)	92040	46020	52488	46020	71680	28336	90856	41760	60240	31440

n	92051	92052	92053	92054	92055	92056	92057	92058	92059	92060
φ(n)	92050	30672	82944	46026	43776	44640	78900	30096	83680	36816

n	92061	92062	92063	92064	92065	92066	92067	92068	92069	92070
φ(n)	59904	45600	89880	26112	73648	42480	61376	46032	88044	21600

n	92071	92072	92073	92074	92075	92076	92077	92078	92079	92080
φ(n)	78876	43264	59984	43596	70560	30688	92076	39456	56592	36800

n	92081	92082	92083	92084	92085	92086	92087	92088	92089	92090
φ(n)	83600	30192	92082	46040	42048	44880	90720	30672	86656	36832

n	92091	92092	92093	92094	92095	92096	92097	92098	92099	92100
φ(n)	61392	31680	84240	30696	72576	46016	61236	46048	77256	24480

n	92101	92102	92103	92104	92105	92106	92107	92108	92109	92110
φ(n)	89100	46050	55800	44352	67392	24192	92106	46052	61404	36000

n	92111	92112	92113	92114	92115	92116	92117	92118	92119	92120
φ(n)	92110	28800	78948	40560	46464	46056	91500	28320	92118	30912

n	92121	92122	92123	92124	92125	92126	92127	92128	92129	92130
φ(n)	61412	46060	86688	30672	66000	45360	50880	46048	91440	23616

n	92131	92132	92133	92134	92135	92136	92137	92138	92139	92140
φ(n)	80352	44520	59136	39480	73704	27840	91476	44044	61424	34560

n	92141	92142	92143	92144	92145	92146	92147	92148	92149	92150
φ(n)	78972	30708	92142	42432	49136	46072	83760	26304	89964	34560

n	92151	92152	92153	92154	92155	92156	92157	92158	92159	92160
φ(n)	61416	46072	92152	30716	63168	46076	52992	40600	91416	24576

n	92161	92162	92163	92164	92165	92166	92167	92168	92169	92170
φ(n)	88132	37968	59400	46080	73728	30720	86112	44800	45360	33984

n	92171	92172	92173	92174	92175	92176	92177	92178	92179	92180
φ(n)	90600	30720	92172	43360	49120	39456	92176	30672	92178	33440

n	92181	92182	92183	92184	92185	92186	92187	92188	92189	92190
φ(n)	61452	46090	72864	29216	72624	46092	61452	43632	92188	21024

n	92191	92192	92193	92194	92195	92196	92197	92198	92199	92200
φ(n)	76160	44352	60528	44580	73752	28224	79020	46098	60480	36800

n	92201	92202	92203	92204	92205	92206	92207	92208	92209	92210
φ(n)	91392	27720	92202	38016	49104	46102	83160	28672	82560	36880

n	92211	92212	92213	92214	92215	92216	92217	92218	92219	92220
φ(n)	52680	46104	82000	29808	73768	46104	60320	39480	92218	23296

n	92221	92222	92223	92224	92225	92226	92227	92228	92229	92230
φ(n)	92220	42552	61476	41600	57600	29088	92226	46112	60480	35200

n	92231	92232	92233	92234	92235	92236	92237	92238	92239	92240
φ(n)	91464	25920	92232	45580	40320	46116	92236	30744	79056	36864

n	92241	92242	92243	92244	92245	92246	92247	92248	92249	92250
φ(n)	59616	43392	92242	30744	69840	35880	60672	42528	89040	24000

n	92251	92252	92253	92254	92255	92256	92257	92258	92259	92260
φ(n)	92250	46124	50160	45696	73800	29760	83860	45684	57024	31584

n	92261	92262	92263	92264	92265	92266	92267	92268	92269	92270
φ(n)	82800	30752	91648	43632	49200	46132	78792	27840	92268	36904

n	92271	92272	92273	92274	92275	92276	92277	92278	92279	92280
φ(n)	61512	44928	90480	24336	73800	40832	61512	42336	83880	24576

n	92281	92282	92283	92284	92285	92286	92287	92288	92289	92290
φ(n)	79092	46140	58248	46140	73824	30744	82080	39168	61524	33520

n	92291	92292	92293	92294	92295	92296	92297	92298	92299	92300
φ(n)	90000	30760	84480	46146	42048	45264	92296	30764	88264	33600

n	92301	92302	92303	92304	92305	92306	92307	92308	92309	92310
φ(n)	55920	37368	91680	30720	73840	46152	59360	45080	79116	23040

n	92311	92312	92313	92314	92315	92316	92317	92318	92319	92320
φ(n)	92310	41920	56592	45600	71712	26208	92316	44640	61544	36864

n	92321	92322	92323	92324	92325	92326	92327	92328	92329	92330
φ(n)	84672	29304	71280	46160	49200	41184	86880	30768	91476	31632

n	92331	92332	92333	92334	92335	92336	92337	92338	92339	92340
φ(n)	61548	44960	92332	27960	72384	44352	52752	45696	85224	23328

n	92341	92342	92343	92344	92345	92346	92347	92348	92349	92350
φ(n)	91372	46170	61560	36864	63360	30780	92346	46172	59400	36920

n	92351	92352	92353	92354	92355	92356	92357	92358	92359	92360
φ(n)	77688	27648	92352	45360	47840	41960	92356	26352	87480	36928

n	92361	92362	92363	92364	92365	92366	92367	92368	92369	92370
φ(n)	57920	46180	92362	29904	56448	46182	55800	44000	92368	24624

n	92371	92372	92373	92374	92375	92376	92377	92378	92379	92380
φ(n)	91000	39576	60000	46186	73800	30768	92376	34560	51168	35520

n	92381	92382	92383	92384	92385	92386	92387	92388	92389	92390
φ(n)	92380	30272	92382	46176	49248	39588	92386	30792	81360	36952

n	92391	92392	92393	92394	92395	92396	92397	92398	92399	92400
φ(n)	53856	46192	77616	29232	69504	46196	58320	46198	92398	19200

n	92401	92402	92403	92404	92405	92406	92407	92408	92409	92410
φ(n)	92400	45172	61596	42624	73920	30800	77112	46200	61604	36960

n	92411	92412	92413	92414	92415	92416	92417	92418	92419	92420
φ(n)	81000	28800	92412	36960	48000	43776	85296	30240	92418	36960

n	92421	92422	92423	92424	92425	92426	92427	92428	92429	92430
φ(n)	52488	42000	89208	30800	73920	44928	61616	39600	86976	22464

n	92431	92432	92433	92434	92435	92436	92437	92438	92439	92440
φ(n)	92430	44928	56000	45696	59616	30808	88396	46218	61620	36960

n	92441	92442	92443	92444	92445	92446	92447	92448	92449	92450
φ(n)	91392	25200	85176	41800	49296	43488	91776	30528	77280	36120

n	92451	92452	92453	92454	92455	92456	92457	92458	92459	92460
φ(n)	61632	44576	90828	29160	65600	36288	61632	46228	92458	23232

n	92461	92462	92463	92464	92465	92466	92467	92468	92469	92470
φ(n)	92460	45592	48384	46224	73968	27960	92466	46232	56880	31680

n	92471	92472	92473	92474	92475	92476	92477	92478	92479	92480
φ(n)	91344	30816	84240	46236	48960	45360	72000	30824	92478	34816

n	92481	92482	92483	92484	92485	92486	92487	92488	92489	92490
φ(n)	59472	42672	88440	26352	72384	45760	61656	42000	92488	24656

n	92491	92492	92493	92494	92495	92496	92497	92498	92499	92500
φ(n)	77760	43776	59976	45696	68256	29440	87040	39636	56040	36000

n	92501	92502	92503	92504	92505	92506	92507	92508	92509	92510
φ(n)	91872	30780	92502	44640	42240	44220	92506	28416	91260	32480

n	92511	92512	92513	92514	92515	92516	92517	92518	92519	92520
φ(n)	58320	38976	91140	28992	74008	45600	61676	45816	79296	24576

n	92521	92522	92523	92524	92525	92526	92527	92528	92529	92530
φ(n)	77520	46260	61680	46260	74000	26424	91080	46256	58608	34992

n	92531	92532	92533	92534	92535	92536	92537	92538	92539	92540
φ(n)	87072	28000	79308	42696	47520	45024	86400	29952	89320	31680

n	92541	92542	92543	92544	92545	92546	92547	92548	92549	92550
φ(n)	60912	46270	81880	30720	72816	46272	48384	43520	87660	24640

n	92551	92552	92553	92554	92555	92556	92557	92558	92559	92560
φ(n)	92550	44176	61700	36000	72928	30816	92556	46278	61704	33792

n	92561	92562	92563	92564	92565	92566	92567	92568	92569	92570
φ(n)	79296	30852	91800	45504	42240	44760	92566	24192	92568	37024

n	92571	92572	92573	92574	92575	92576	92577	92578	92579	92580
φ(n)	60552	46284	85440	29808	60720	41920	61716	45120	90384	24672

n	92581	92582	92583	92584	92585	92586	92587	92588	92589	92590
φ(n)	92580	37248	61236	45360	74064	28464	79560	45552	52896	36064

n	92591	92592	92593	92594	92595	92596	92597	92598	92599	92600
φ(n)	90792	30816	92592	45540	49376	39672	85680	26400	80256	36960

n	92601	92602	92603	92604	92605	92606	92607	92608	92609	92610
φ(n)	61728	46300	79368	30864	74080	43848	61736	46272	84180	21168

n	92611	92612	92613	92614	92615	92616	92617	92618	92619	92620
φ(n)	90072	42432	61740	46306	74088	28928	78000	46308	60000	33600

n	92621	92622	92623	92624	92625	92626	92627	92628	92629	92630
φ(n)	88572	30072	92622	39648	43200	44688	92626	29520	91980	36192

n	92631	92632	92633	92634	92635	92636	92637	92638	92639	92640
φ(n)	48000	46312	87168	30876	72960	46316	59616	36576	92638	24576

n	92641	92642	92643	92644	92645	92646	92647	92648	92649	92650
φ(n)	92640	42100	61760	41184	63504	30876	92646	44928	60896	34560

n	92651	92652	92653	92654	92655	92656	92657	92658	92659	92660
φ(n)	85512	26448	84220	46326	47040	46320	92656	30884	75600	35840

n	92661	92662	92663	92664	92665	92666	92667	92668	92669	92670
φ(n)	60720	45792	87768	25920	72240	39708	54912	46332	92668	24704

n	92671	92672	92673	92674	92675	92676	92677	92678	92679	92680
φ(n)	92670	46080	52920	46336	67200	30888	85536	45880	61784	31680

n	92681	92682	92683	92684	92685	92686	92687	92688	92689	92690
φ(n)	92680	29160	92682	41216	47808	42020	79440	30880	91060	31680

n	92691	92692	92693	92694	92695	92696	92697	92698	92699	92700
φ(n)	61776	46344	92692	26472	74152	46344	55120	46348	92698	24480

n	92701	92702	92703	92704	92705	92706	92707	92708	92709	92710
φ(n)	69120	46350	57024	46336	74160	30900	92706	35280	61800	36288

n	92711	92712	92713	92714	92715	92716	92717	92718	92719	92720
φ(n)	91512	30896	85008	45900	42336	42768	92716	28800	84280	34560

n	92721	92722	92723	92724	92725	92726	92727	92728	92729	92730
φ(n)	59760	38448	92722	30904	74160	45640	61812	45408	73296	22400

n	92731	92732	92733	92734	92735	92736	92737	92738	92739	92740
φ(n)	90712	45696	61820	45936	69760	25344	92736	45760	58536	37088

n	92741	92742	92743	92744	92745	92746	92747	92748	92749	92750
φ(n)	84300	26880	79488	46368	49248	45708	92016	30160	91936	31200

n	92751	92752	92753	92754	92755	92756	92757	92758	92759	92760
φ(n)	60312	38400	92752	30912	68448	46376	52920	43920	85536	24704

n	92761	92762	92763	92764	92765	92766	92767	92768	92769	92770
φ(n)	92760	46380	56160	39744	74208	30920	92766	42624	57664	37104

n	92771	92772	92773	92774	92775	92776	92777	92778	92779	92780
φ(n)	76608	30888	91840	42160	49440	46384	87552	25944	92778	37104

n	92781	92782	92783	92784	92785	92786	92787	92788	92789	92790
φ(n)	56160	44352	86400	30912	57600	43648	61152	46392	92788	24720

n	92791	92792	92793	92794	92795	92796	92797	92798	92799	92800
φ(n)	92790	39744	61860	41328	72864	25920	91420	46398	52920	35840

n	92801	92802	92803	92804	92805	92806	92807	92808	92809	92810
φ(n)	92800	30932	84864	46400	47168	39732	76560	30912	92808	37120

n	92811	92812	92813	92814	92815	92816	92817	92818	92819	92820
φ(n)	61872	46404	79548	29880	70272	46400	61872	42180	91800	18432

n	92821	92822	92823	92824	92825	92826	92827	92828	92829	92830
φ(n)	92820	46410	61880	45120	71760	30780	78144	44352	53760	37128

n	92831	92832	92833	92834	92835	92836	92837	92838	92839	92840
φ(n)	92830	30912	82944	37584	49488	46416	84672	30944	92224	33600

n	92841	92842	92843	92844	92845	92846	92847	92848	92849	92850
φ(n)	53040	45600	92208	30936	71760	42840	61896	39744	92848	24720

n	92851	92852	92853	92854	92855	92856	92857	92858	92859	92860
φ(n)	80520	45816	58320	43680	63504	29952	92856	44800	57120	37136

n	92861	92862	92863	92864	92865	92866	92867	92868	92869	92870
φ(n)	92860	23760	92862	46400	48000	45588	92866	30240	79596	36000

n	92871	92872	92873	92874	92875	92876	92877	92878	92879	92880
φ(n)	58176	39744	84420	29568	74200	38160	61008	46438	92040	24192

n	92881	92882	92883	92884	92885	92886	92887	92888	92889	92890
φ(n)	92272	46440	53064	42200	68544	30464	89656	43648	61920	31824

n	92891	92892	92893	92894	92895	92896	92897	92898	92899	92900
φ(n)	87984	30960	92892	46446	44960	46432	76032	28512	92898	37120

n	92901	92902	92903	92904	92905	92906	92907	92908	92909	92910
φ(n)	61232	46450	91320	26208	69888	40800	58320	46452	91104	23328

n	92911	92912	92913	92914	92915	92916	92917	92918	92919	92920
φ(n)	73440	46448	61940	46456	74328	29568	84460	39816	60536	35200

n	92921	92922	92923	92924	92925	92926	92927	92928	92929	92930
φ(n)	92920	29120	90720	42864	41760	45888	92926	28160	85536	37168

n	92931	92932	92933	92934	92935	92936	92937	92938	92939	92940
φ(n)	61952	39816	92268	30960	74344	46464	57168	44940	67200	24768

n	92941	92942	92943	92944	92945	92946	92947	92948	92949	92950
φ(n)	92940	46470	59136	44928	71680	26544	90640	43992	61964	31200

n	92951	92952	92953	92954	92955	92956	92957	92958	92959	92960
φ(n)	92950	30960	79380	46476	49568	43712	92956	30984	92958	31488

n	92961	92962	92963	92964	92965	92966	92967	92968	92969	92970
φ(n)	56160	45552	85800	30240	74368	42504	50112	46480	89940	24768

n	92971	92972	92973	92974	92975	92976	92977	92978	92979	92980
φ(n)	92344	42240	58304	38304	74360	28416	92016	46488	61980	37184

n	92981	92982	92983	92984	92985	92986	92987	92988	92989	92990
φ(n)	77328	30992	82680	45472	49584	44028	92986	25920	81840	34944

n	92991	92992	92993	92994	92995	92996	92997	92998	92999	93000
φ(n)	61272	46464	92992	28160	63744	45672	61992	46498	92064	24000

J.P. Martin-Flatin