primes scanned: 348511 (5 <= p <= 5000000)
k(PSL(2,27)) by the general Dickson list: 12, O = [1, 2, 3, 4, 7, 9, 12, 13, 14, 26, 27, 28, 351, 9828]
values k <= 400 not attained by a prime p <= X: [8, 12, 324, 332, 346, 348, 359, 360, 364, 367, 370, 371, 372, 375, 376, 377, 378, 380, 384, 386, 387, 388, 392, 393, 394, 396, 398, 399]
every k in {7} u [9,323] minus {12} is attained by a prime; 12 by q = 27: True
largest least prime among k in {7} u [9,323] minus {12}: (4022201, 268)
least p for k = 7, 9, 10, 11, 13, 14, 323: [(7, 5), (9, 7), (10, 11), (11, 13), (13, 47), (14, 17), (323, 3243239)]
least p for k = 268: 4022201; for k = 324: None

# k  least prime p <= 5000000 with k(PSL(2,p)) = k   (own scan, 348511 primes, 3 s)
7	5
9	7
10	11
11	13
13	47
14	17
15	59
16	37
17	29
18	31
19	103
20	293
21	61
22	41
23	139
24	191
25	97
26	89
27	193
28	251
29	211
30	199
31	397
32	1039
33	419
34	271
35	181
36	281
37	883
38	641
39	241
40	521
41	421
42	577
43	1657
44	449
45	673
46	1153
47	601
48	769
49	1861
50	1297
51	1601
52	1249
53	2549
54	881
55	1201
56	2089
57	1321
58	3329
59	3571
60	1009
61	2281
62	2801
63	5741
64	4409
65	3301
66	2689
67	2017
68	1801
69	3529
70	4969
71	10781
72	3169
73	3457
74	7309
75	3697
76	4159
77	2161
78	8209
79	6337
80	8009
81	4621
82	7057
83	11971
84	7129
85	4801
86	8191
87	13859
88	10711
89	2521
90	9521
91	3361
92	7489
93	5281
94	13729
95	6301
96	29921
97	11593
98	15289
99	30941
100	11969
101	8161
102	40609
103	47701
104	23561
105	27457
106	56431
107	25537
108	35911
109	8641
110	19009
111	38501
112	62791
113	9241
114	35569
115	28513
116	53201
117	7561
118	51169
119	23041
120	31249
121	16381
122	14401
123	16561
124	52361
125	21121
126	29569
127	12601
128	97241
129	36541
130	73009
131	29401
132	85121
133	13441
134	28729
135	58321
136	44101
137	21601
138	26209
139	192601
140	32401
141	49921
142	94849
143	188189
144	88129
145	15121
146	101089
147	23761
148	81649
149	21841
150	85009
151	56701
152	117041
153	165001
154	63649
155	72577
156	150151
157	36721
158	57601
159	134161
160	48049
161	20161
162	195049
163	89101
164	103951
165	77617
166	180001
167	119953
168	145601
169	51481
170	116929
171	298801
172	115201
173	42841
174	108109
175	35281
176	167441
177	30241
178	291649
179	193441
180	440441
181	63841
182	66529
183	226799
184	200201
185	45361
186	137089
187	326593
188	405001
189	199081
190	161569
191	216481
192	140449
193	105601
194	325249
195	208657
196	368551
197	573481
198	386569
199	174241
200	357281
201	79201
202	473201
203	93601
204	690689
205	192781
206	501229
207	122401
208	733591
209	127681
210	435709
211	374977
212	769231
213	212161
214	641089
215	158761
216	495041
217	109201
218	177409
219	65521
220	270271
221	55441
222	278209
223	210601
224	560561
225	157081
226	388961
227	450451
228	824671
229	120121
230	394129
231	1254529
232	920921
233	161281
234	391249
235	532801
236	658351
237	225721
238	259201
239	100801
240	680681
241	235621
242	419329
243	831599
244	762049
245	174721
246	597169
247	446401
248	176401
249	908821
250	1058149
251	2227501
252	2094751
253	229321
254	1051009
255	900481
256	1969111
257	257401
258	2181169
259	1081079
260	2579201
261	336961
262	459649
263	1523521
264	1044289
265	110881
266	1036729
267	1755937
268	4022201
269	211681
270	1116289
271	282241
272	1276001
273	628993
274	1225729
275	550801
276	1401401
277	151201
278	550369
279	305761
280	510049
281	430921
282	898129
283	316801
284	620929
285	549121
286	879649
287	988417
288	800801
289	314161
290	648649
291	287281
292	3942401
293	196561
294	1230769
295	3297601
296	2002001
297	1207441
298	2236249
299	1603801
300	2984689
301	673921
302	565489
303	1122001
304	2238391
305	963901
306	2270269
307	1393921
308	3873871
309	760321
310	3808801
311	748801
312	2962961
313	436801
314	3807649
315	2036161
316	3052351
317	411841
318	1286209
319	979201
320	1951489
321	540541
322	3755809
323	3243239
325	383041
326	3377089
327	624961
328	2833601
329	388081
330	1669249
331	2413153
333	1228501
334	2778049
335	453601
336	4954951
337	471241
338	3236689
339	4979519
340	2648449
341	687961
342	1979209
343	1881601
344	3937249
345	1357201
347	2483713
349	415801
350	1369369
351	2340001
352	2408561
353	393121
354	2757889
355	4566241
356	1742401
357	332641
358	2210209
361	1008001
362	4306849
363	1315441
365	498961
366	2690689
368	3979361
369	2121601
373	604801
374	2395009
379	970201
381	2730001
382	4760449
383	1675801
385	1451521
389	2637361
390	3523969
391	2129401
395	1425601
397	957601
401	1159201
403	1684801
404	3302209
405	2370061
406	2878849
409	917281
410	2949409
412	4390849
413	1532161
414	4058209
417	786241
421	960961
422	3725569
425	1247401
429	1391041
430	3907009
433	1053361
435	982801
437	1275121
438	4200769
441	2423521
445	1769041
446	4481569
449	1580041
453	1670761
454	4972969
457	4308481
461	2282281
463	4082401
469	1915201
473	1108801
477	4347001
481	1921921
485	2702701
486	4612609
487	1940401
489	1713601
491	4268881
493	3950101
495	2513281
499	3049201
505	3298681
509	3548161
511	4406401
517	4069801
521	4847041
525	1995841
529	2402401
533	2489761
541	3712801
545	3843841
549	3144961
553	3104641
579	4084081
581	4158001
589	4520881
595	3880801
601	3991681
629	4455361
709	4324321
