R-Sim 9 S is the activation chip that working together with your SIM card. This turbo SIM unlock allows you to unlock iPhone 5S iOS 7 from the operator and activate idevice. This solution is much better and easy to use that its predecessors thanks to the new Smart menu, and compatibility with almost all the operators in the world, as well as all the 256K / 128K / 64K / 32K 2G, 3G, 4G SIM cards. Last time I wrote about R-SIM 8 that also supports iPhone 5C. But R-SIM 9 S supports only iPhone 5S running any baseband and CDMA  / GSM / WCDMA networks. When you will receive this card just insert R-SIM 9 S into iPhone 5S and select the carrier from R-SIM 9 Auto-menu. Also you can go to Settings - Phone - SIM Application and add 7 digits of IMSI of the carrier you need to use and then just reboot iPhone. That's it. The job is done and iPhone 5S is ready for your local SIM card. So if your iPhone 5S is locked to AT&T, Sprint, Verizon, O2 or almost any other carrier you can use it without jailbreaking or patching something. Also your iPhone 5S will be activated with R-SIM 9S. Here below is the video from YouTube on how to use R-SIM 9S: But if you don't want to repeat the process again and again in case you need to use another SIM card. Or you just don't trust such method, there always is IMEI unlocking which unlike R-SIM is an official and doesn't require any IMSI numbers or additional turbo SIM cards. Just follow this link and find the carrier to which your iPhone 5S is locked and remotely unlock it. If you like to use R-SIM 9 S here below is a table of IMSI numbers from around the world.

	COUNTRY	CARRIER	IMSI
1	Albania	Albanian Mobile	2760111
2	Albania	Eagle Mobile	2760311
3	Albania	Vodafone	2760211
4	Algeria	AlgeTel	6030111
5	Algeria	Nedjma	6030311
6	Algeria	Orascom	6030211
7	Andorra	Mbiland	2130311
8	Angola	Unitel	6310211
9	Anguilla	Cabl&wi	3654011
10	Anguilla	Mossel	3650511
11	Anguilla	Weblink	3651011
12	Argentina	Claro	7161003
13	Argentina	Compala	7161003
14	Argentina	Compañia Telefonos Interior (CTI)	7223101
15	Argentina	Movistar	7220104
16	Argentina	Nextel	7220211
17	Argentina	Nextel2	7222011
18	Argentina	Telecom	7223411
19	Argentina	Telefoni	7220711
20	Argentina	Telfonic	7227011
21	Armenia	Armentel	2830134
22	Armenia	Karabakh	2830434
23	Armenia	Orange	2831034
24	Armenia	Vivacell	2830534
25	Australia	3	5050610
26	Australia	Optus	5050210
27	Australia	Vodafone	5050390
28	Australia	3GIS	5051570
29	Australia	AAPT	5051470
30	Australia	Advan	5052470
31	Australia	Localstar	5058870
32	Australia	One	5050870
33	Australia	OZITEL	5050534
34	Australia	Telstra71	5057170
35	Australia	Telstra72	5057270
36	Australia	Teltra11	5051170
37	Australia	Telstra	5050134
38	Austria	3Hutch	2321070
39	Austria	A1 Telekom	2320170
40	Austria	Barabl	2321570
41	Austria	BobA1	2321170
42	Austria	OneOra	2320570
43	Austria	Teleri	2320770
44	Austria	T-mobi le	2320370
45	Austria	YesOra	2321270
46	Austria	Orange	2320588
47	Austria	Three	2321069
48	Aux-Airnet	Airnet	5050970
49	Aux-Depart	Depart	5050434
50	Belarus	Best	2570434
51	Belarus	MDC	2570134
52	Belarus	MTS	2270234
53	Belgium	Base	2061034
54	Belgium	Globul	2060534
55	Belgium	Mobistar	2061034
56	Belgium	Proximus	2060134
57	Belgium	Ortel	2062050
58	Bulgaria	MTel	2840179
59	Bulgaria	Vivacom	2840310
60	Bulgaria	Globul	2840510
61	Canada	BELL610	3026104
62	Canada	Bellpacific	3101703
63	Canada	Fido	3023704
64	Canada	Rogers	3027204
65	Canada	Telus220	3022204
66	chile	Claro	7300304
67	chile	Entel	7300104
68	chile	Entel10	7301004
69	chile	Movistar	7300204
70	China	Mobile	4600202
71	China	Unicom	4600158
72	Colombia	ColomTel	7320014
73	Colombia	Comcel	7321014
74	Colombia	Edatel	7320024
75	Colombia	Movista3	7321234
76	Colombia	Movistar	7321024
77	Colombia	Tigo1	7321114
78	Colombia	Tigo3	7321034
79	Czec	Mobikom	2300434
80	Czec	O2telefh	2300234
81	Czec	Sprava	2309834
82	Czec	Tmobi	2300134
83	Czec	Vodafone	2300334
84	Czec	Vodaf2	2309934
85	Denmark	TM	2620125
86	Denmark	Demark	2382010
87	Denmark	APS	2380534
88	Denmark	Barablu 2380734	2380734
89	Denmark	H3G	2380634
90	Denmark	3	2380632
91	Denmark	Telen	2380241
92	Denmark	MiGway	2380334
93	Denmark	TDC	2380134
94	Denmark	TDC2	2381034
95	Denmark	Telenor	2387734
96	Denmark	Telia	2382034
97	Denmark	Telia30	2383034
98	Dominican	Movil	7321234
99	ecuado	Alegro	7400234
100	ecuado	Movista	7400034
101	ecuado	Porta	7400134
102	egypt	Mobinil	6020111
103	egypt	Vodafon	6020211
104	Elsalvador	Claro	7061034
105	Elsalvador	CTE	7060134
106	Elsalvador	Digice	7060234
107	Elsalvador	Movita	7060434
108	Elsalvador	Telemo	7060334
109	Estonia	EMT	2480134
110	Filand	NDA	2440311
111	Filand	Sonera	2449111
112	France	Bouy	2082136
113	France	BT	2082031
114	France	Orange	2080189
115	France	Bouygues20	2082011
116	France	Bouygues21	2082111
117	France	Bouygues88	2088811
118	France	Orange01	2080111
119	France	Orange02	2080211
120	France	SFR10	2081011
121	France	SFR11	2081111
122	France	SFR	2081031
123	France	Virgin	2080191
124	Germany	T-mobi le	2620111
125	Germany	Vodafone	2620208
126	greece	Cosmote	2020134
127	greece	QTelecom	2020934
128	greece	Vodaf	2020534
129	greece	Wind	2021034
130	Honduras	Claro	7080111
131	Hungary	T-mobi le	2163011
132	Hungary	Vodafone	2167000
133	India	Airtel02	4040211
134	India	Vodaf01	4040111
135	India	Vodaf05	4040511
136	India	Vodaf46	4044611
137	ireland	Vodafone	2720110
138	ireland	O2	2720211
139	Ireland	E-Mobile	2720320
140	ireland	Meteor	2720303
141	Italy	Blu	2229834
142	Italy	Elsacom	2220234
143	Italy	H3G	2229934
144	Italy	IPSE	2227734
145	Italy	Telecom	2220134
146	Italy	TIM	2220134
147	Italy	Vodaf	2221034
148	Italy	Wind	2228834
149	japan	AU	4540492
150	japan	sofbank	4402011
151	japan	sofbankGre	4402016
152	japan	softbankBla	4402081
153	Jordan	Jordan	Jordan
154	Jordan	Orange	4167711
155	Korea	Telecome	4500826
156	Liechtenstein	Orange	2950211
157	Liechtenstein	swisco	2950111
158	Luxembo	Luxgsm	2700101
159	Luxembo	Tango	2707701
160	Luxembo	Voxmobi	2709901
161	Macao	China	4550234
162	Macao	CMT	4550134
163	Macao	Hutchis	4550534
164	Macao	smartT	4550034
165	Macedonia	Vip	2940387
166	Macedonia	One(Ex-Cosmofon)	2940200
167	Macedonia	T-Mobile	2940102
168	MOLDOVA	Orange	2590101
169	Montenegro	T-Mobile	2970200
170	Netherland	Tmobi	2041611
171	Netherland	RESEVE	5300134
172	New zeland	Econet	5302834
173	New zeland	Nzcomunic	5302434
174	New zeland	telecom	5300534
175	New zeland	teltracle	5300434
176	New zeland	Vodafone	5300134
177	New zeland	Woosh	5300334
178	Norway	Netcom	2420211
179	Norway	Telenor	2420111
180	peru	claro	7161011
181	peru	TIM	7161011
182	Philipine	GB	51502220
183	Philipine	SM	5150303
184	Philipine	Sun	5150509
185	Philipine	Globe	5150211
186	Poland	Era	2600211
187	Poland	Orange	2600311
188	Poland	T-Mobile	2600200
189	Portug	optimus	2680311
190	Portugal	Vodaf	2680111
191	Russian	Beeline28	2502834
192	Russian	Beeline99	2509934
193	Russian	megafon	2500234
194	Russian	MTS10	2501034
195	Russian	Telecom	2509334
196	Saudiarabi	EAE	4200734
197	Saudiarabi	mobily	4200334
198	Saudiarabi	STC	4200134
199	Saudiarabi	ZainSA	4200434
200	Slovakia	Tmobi2	2310411
201	Slovakia	Eurotel2	2310234
202	Slovakia	Orange	2310134
203	Slovakia	OrangeUMT	2310534
204	Slovakia	OrangUMT2	2311534
205	Slovakia	teleficO2	2310634
206	Slovakia	Vodacom	6550134
207	Spain	movistar	2140711
208	Spain	Orange	2140333
209	Spain	Vodafone	2140198
210	Sweden	3	2400200
211	Sweden	Telia	2400111
212	Sweden	Tele2	2400700
213	Sweden	Telia	2400100
214	Sweden	Telenor	2400885
215	Switzerland	Swisscom	2280167
216	Switzerland	Orange	2280311
217	Switzerland	Sunrise	2280200
218	Switzerland	Swiscom	2280111
219	Switzerland	Sunrise	2280211
220	Switzerland	Swiscom (un-offical)	2280121
221	Taiwan	chungwa	4669234
222	Turkey	Turcell	2860134
223	Turkey	Vodaf	2860211
224	Turkey	Vodafon	2862034
225	United Kingdom	3	2342091
226	United Kingdom	O2	2341091
227	United Kingdom	ORG	2343320
228	United Kingdom	Vodafon	2341590
229	United Kingdom	O2-02	2340211
230	United Kingdom	Orange33	2343334
231	United Kingdom	T-Mobile	2343091
232	United Kingdom	Vectone	2340100
233	United States	ATT	3104101
234	United States	Verizon 2040400	2040400
235	United States	Sprint(CDMA)	3160101
236	United States	Cable and Wireless Lime J	3461401
237	UAE	DU	4240334
238	UAE	ETisal	4240234
239	Uruguay	CTimov	7481011
240	Uruguay	Movist	7480711

If you have found you carrier you can go the site of the manufacturer and make an order to get R-SIM 9 S for iPhone 5S running iOS 7. If you don't see here your carrier, you can always try IMEI unlock.