List of prime signatures

Below is a list of the first 400 prime signatures.

The OEIS column shows the Online Encyclopedia of Integer Sequences entry (if any) for the integers belonging to the specified prime signature. For example, row #8’s prime signature is {1,1,1}, so it links to OEIS sequence A007304, which lists integers with the prime signature of {1,1,1}.

The smaller entries with an asterisk (*) indicate an inexact match in OEIS: while the first hundred or so terms shown there match the prime signature listed, later terms include integers with a different prime signature.

The column labeled First displays the smallest integer with that row’s prime signature (OEIS A025487).

Similarly, the column labeled Second displays the second smallest integer with that row’s prime signature (OEIS A077560).

(For additional integers with a given prime signature — third, fourth, etc. — see the prime signature table page.)

The Prime fact. column shows the prime factorization corresponding to the prime signature, where each letter (p, q, etc.) represents a distinct prime number.

The First odd column displays the first odd integer with that row’s prime signature. The numbers in this column are a re-ordering of the numbers in OEIS A147516.

The PD column lists the number of Prime Divisors (OEIS A036041.) For example, {1,2,3} has 6 prime divisors (1 + 2 + 3).

The DF column lists the number of Distinct Prime Factors (OEIS A061394.)

Lastly, the Diff column lists the difference between the smallest integer with this prime signature and the smallest integer with the previous row’s prime signature (OEIS A178799.)

Prime signature list, part 1

#	OEIS	Prime signature	First	Second	Prime fact.	First odd	P D	D F	Diff
0	–	{}	1	–	p0	1	0	0	–
1	A000040	{1}	2	3	p	3	1	1	1
2	A001248	{2}	4	9	p2	9	2	1	2
3	A006881	{1,1}	6	10	pq	15	2	2	2
4	A030078	{3}	8	27	p3	27	3	1	2
5	A054753	{1,2}	12	18	p2q	45	3	2	4
6	A030514	{4}	16	81	p4	81	4	1	4
7	A065036	{1,3}	24	40	p3q	135	4	2	8
8	A007304	{1,1,1}	30	42	pqr	105	3	3	6
9	A050997	{5}	32	243	p5	243	5	1	2
10	A085986	{2,2}	36	100	p2q2	225	4	2	4
11	A178739	{1,4}	48	80	p4q	405	5	2	12
12	A085987	{1,1,2}	60	84	p2qr	315	4	3	12
13	A030516	{6}	64	729	p6	729	6	1	4
14	A143610	{2,3}	72	108	p3q2	675	5	2	8
15	A178740	{1,5}	96	160	p5q	1215	6	2	24
16	–	{1,1,3}	120	168	p3qr	945	5	3	24
17	A092759	{7}	128	2187	p7	2187	7	1	8
18	A030633*	{2,4}	144	324	p4q2	2025	6	2	16
19	–	{1,2,2}	180	252	p2q2r	1575	5	3	36
20	A030632*	{1,6}	192	320	p6q	3645	7	2	12
21	A046386	{1,1,1,1}	210	330	pqrs	1155	4	4	18
22	A162142	{3,3}	216	1000	p3q3	3375	6	2	6
23	–	{1,1,4}	240	336	p4qr	2835	6	3	24
24	–	{8}	256	6561	p8	6561	8	1	16
25	–	{2,5}	288	800	p5q2	6075	7	2	32
26	A163569	{1,2,3}	360	504	p3q2r	4725	6	3	72
27	–	{1,7}	384	640	p7q	10935	8	2	24
28	–	{1,1,1,2}	420	630	p2qrs	3465	5	4	36
29	–	{3,4}	432	648	p4q3	10125	7	2	12
30	–	{1,1,5}	480	672	p5qr	8505	7	3	48
31	–	{9}	512	19683	p9	19683	9	1	32
32	A137484*	{2,6}	576	1600	p6q2	18225	8	2	64
33	–	{1,2,4}	720	1008	p4q2r	14175	7	3	144
34	–	{1,8}	768	1280	p8q	32805	9	2	48
35	–	{1,1,1,3}	840	1320	p3qrs	10395	6	4	72
36	–	{3,5}	864	1944	p5q3	30375	8	2	24
37	A162143	{2,2,2}	900	1764	p2q2r2	11025	6	3	36
38	–	{1,1,6}	960	1344	p6qr	25515	8	3	60
39	A030629	{10}	1024	59049	p10	59049	10	1	64
40	–	{1,3,3}	1080	1512	p3q3r	23625	7	3	56
41	–	{2,7}	1152	3200	p7q2	54675	9	2	72
42	–	{1,1,2,2}	1260	1980	p2q2rs	17325	6	4	108
43	A137488*	{4,4}	1296	10000	p4q4	50625	8	2	36
44	–	{1,2,5}	1440	2016	p5q2r	42525	8	3	144
45	–	{1,9}	1536	2560	p9q	98415	10	2	96
46	–	{1,1,1,4}	1680	2640	p4qrs	31185	7	4	144
47	–	{3,6}	1728	5832	p6q3	91125	9	2	48
48	–	{2,2,3}	1800	2700	p3q2r2	33075	7	3	72
49	–	{1,1,7}	1920	2688	p7qr	76545	9	3	120
50	A079395	{11}	2048	177147	p11	177147	11	1	128
51	–	{1,3,4}	2160	3024	p4q3r	70875	8	3	112
52	–	{2,8}	2304	6400	p8q2	164025	10	2	144
53	A046387	{1,1,1,1,1}	2310	2730	pqrst	15015	5	5	6
54		{1,1,2,3}	2520	3780	p3q2rs	51975	7	4	210
55		{4,5}	2592	3888	p5q4	151875	9	2	72
56		{1,2,6}	2880	4032	p6q2r	127575	9	3	288
57		{1,10}	3072	5120	p10q	295245	11	2	192
58		{1,1,1,5}	3360	5280	p5qrs	93555	8	4	288
59		{3,7}	3456	16000	p7q3	273375	10	2	96

Prime signature list, part 2

#	Prime signature	First	Second	Prime fact.	First odd	P D	D F	Diff
60	{2,2,4}	3600	7056	p4q2r2	99225	8	3	144
61	{1,1,8}	3840	5376	p8qr	229635	10	3	240
62	{12}	4096	531441	p12	531441	12	1	256
63	{1,3,5}	4320	6048	p5q3r	212625	9	3	224
64	{2,9}	4608	12800	p9q2	492075	11	2	288
65	{1,1,1,1,2}	4620	5460	p2qrst	45045	6	5	12
66	{1,1,2,4}	5040	7920	p4q2rs	155925	8	4	420
67	{4,6}	5184	11664	p6q4	455625	10	2	144
68	{2,3,3}	5400	9000	p3q3r2	165375	8	3	216
69	{1,2,7}	5760	8064	p7q2r	382725	10	3	360
70	{1,11}	6144	10240	p11q	885735	12	2	384
71	{1,2,2,2}	6300	8820	p2q2r2s	121275	7	4	156
72	{1,4,4}	6480	9072	p4q4r	354375	9	3	180
73	{1,1,1,6}	6720	10560	p6qrs	280665	9	4	240
74	{3,8}	6912	32000	p8q3	820125	11	2	192
75	{2,2,5}	7200	14112	p5q2r2	297675	9	3	288
76	{1,1,3,3}	7560	11880	p3q3rs	259875	8	4	360
77	{1,1,9}	7680	10752	p9qr	688905	11	3	120
78	{5,5}	7776	100000	p5q5	759375	10	2	96
79	{13}	8192	1594323	p13	1594323	13	1	416
80	{1,3,6}	8640	12096	p6q3r	637875	10	3	448
81	{2,10}	9216	25600	p10q2	1476225	12	2	576
82	{1,1,1,1,3}	9240	10920	p3qrst	135135	7	5	24
83	{1,1,2,5}	10080	15840	p5q2rs	467775	9	4	840
84	{4,7}	10368	34992	p7q4	1366875	11	2	288
85	{2,3,4}	10800	16200	p4q3r2	496125	9	3	432
86	{1,2,8}	11520	16128	p8q2r	1148175	11	3	720
87	{1,12}	12288	20480	p12q	2657205	13	2	768
88	{1,2,2,3}	12600	17640	p3q2r2s	363825	8	4	312
89	{1,4,5}	12960	18144	p5q4r	1063125	10	3	360
90	{1,1,1,7}	13440	21120	p7qrs	841995	10	4	480
91	{3,9}	13824	64000	p9q3	2460375	12	2	384
92	{1,1,1,2,2}	13860	16380	p2q2rst	225225	7	5	36
93	{2,2,6}	14400	28224	p6q2r2	893025	10	3	540
94	{1,1,3,4}	15120	22680	p4q3rs	779625	9	4	720
95	{1,1,10}	15360	21504	p10qr	2066715	12	3	240
96	{5,6}	15552	23328	p6q5	2278125	11	2	192
97	{14}	16384	4782969	p14	4782969	14	1	832
98	{1,3,7}	17280	24192	p7q3r	1913625	11	3	896
99	{2,11}	18432	51200	p11q2	4428675	13	2	1152

Prime signature list, part 3

#	Prime signature	First	Second	Prime fact.	P D	D F	Diff
100	{1,1,1,1,4}	18480	21840	p4qrst	8	5	48
101	{1,1,2,6}	20160	31680	p6q2rs	10	4	1680
102	{4,8}	20736	104976	p8q4	12	2	576
103	{2,3,5}	21600	36000	p5q3r2	10	3	864
104	{1,2,9}	23040	32256	p9q2r	12	3	1440
105	{1,13}	24576	40960	p13q	14	2	1536
106	{1,2,2,4}	25200	35280	p4q2r2s	9	4	624
107	{1,4,6}	25920	36288	p6q4r	11	3	720
108	{1,1,1,8}	26880	42240	p8qrs	11	4	960
109	{3,3,3}	27000	74088	p3q3r3	9	3	120
110	{3,10}	27648	128000	p10q3	13	2	648
111	{1,1,1,2,3}	27720	32760	p3q2rst	8	5	72
112	{2,2,7}	28800	56448	p7q2r2	11	3	1080
113	{1,1,1,1,1,1}	30030	39270	pqrstu	6	6	1230
114	{1,1,3,5}	30240	47520	p5q3rs	10	4	210
115	{1,1,11}	30720	43008	p11qr	13	3	480
116	{5,7}	31104	69984	p7q5	12	2	384
117	{2,4,4}	32400	63504	p4q4r2	10	3	1296
118	{15}	32768	14348907	p15	15	1	368
119	{1,3,8}	34560	48384	p8q3r	12	3	1792
120	{2,12}	36864	102400	p12q2	14	2	2304
121	{1,1,1,1,5}	36960	43680	p5qrst	9	5	96
122	{1,2,3,3}	37800	52920	p3q3r2s	9	4	840
123	{1,5,5}	38880	54432	p5q5r	11	3	1080
124	{1,1,2,7}	40320	63360	p7q2rs	11	4	1440
125	{4,9}	41472	314928	p9q4	13	2	1152
126	{2,3,6}	43200	72000	p6q3r2	11	3	1728
127	{2,2,2,2}	44100	108900	p2q2r2s2	8	4	900
128	{1,1,4,4}	45360	71280	p4q4rs	10	4	1260
129	{1,2,10}	46080	64512	p10q2r	13	3	720
130	{6,6}	46656	1000000	p6q6	12	2	576
131	{1,14}	49152	81920	p14q	15	2	2496
132	{1,2,2,5}	50400	70560	p5q2r2s	10	4	1248
133	{1,4,7}	51840	72576	p7q4r	12	3	1440
134	{1,1,1,9}	53760	84480	p9qrs	12	4	1920
135	{3,3,4}	54000	81000	p4q3r3	10	3	240
136	{3,11}	55296	256000	p11q3	14	2	1296
137	{1,1,1,2,4}	55440	65520	p4q2rst	9	5	144
138	{2,2,8}	57600	112896	p8q2r2	12	3	2160
139	{1,1,1,1,1,2}	60060	78540	p2qrstu	7	6	2460
140	{1,1,3,6}	60480	95040	p6q3rs	11	4	420
141	{1,1,12}	61440	86016	p12qr	14	3	960
142	{5,8}	62208	209952	p8q5	13	2	768
143	{2,4,5}	64800	97200	p5q4r2	11	3	2592
144	{16}	65536	43046721	p16	16	1	736
145	{1,3,9}	69120	96768	p9q3r	13	3	3584
146	{1,1,2,2,2}	69300	81900	p2q2r2st	8	5	180
147	{2,13}	73728	204800	p13q2	15	2	4428
148	{1,1,1,1,6}	73920	87360	p6qrst	10	5	192
149	{1,2,3,4}	75600	105840	p4q3r2s	10	4	1680
150	{1,5,6}	77760	108864	p6q5r	12	3	2160
151	{1,1,2,8}	80640	126720	p8q2rs	12	4	2880
152	{4,10}	82944	640000	p10q4	14	2	2304
153	{1,1,1,3,3}	83160	98280	p3q3rst	9	5	216
154	{2,3,7}	86400	144000	p7q3r2	12	3	3240
155	{2,2,2,3}	88200	132300	p3q2r2s2	9	4	1800
156	{1,1,4,5}	90720	136080	p5q4rs	11	4	2520
157	{1,2,11}	92160	129024	p11q2r	14	3	1440
158	{6,7}	93312	139968	p7q6	13	2	1152
159	{1,15}	98304	163840	p15q	16	2	4992
160	{1,2,2,6}	100800	141120	p6q2r2s	11	4	2496
161	{1,4,8}	103680	145152	p8q4r	13	3	2880
162	{1,1,1,10}	107520	168960	p10qrs	13	4	3840
163	{3,3,5}	108000	243000	p5q3r3	11	3	480
164	{3,12}	110592	512000	p12q3	15	2	2592
165	{1,1,1,2,5}	110880	131040	p5q2rst	10	5	288
166	{2,2,9}	115200	225792	p9q2r2	13	3	4320
167	{1,1,1,1,1,3}	120120	157080	p3qrstu	8	6	4920
168	{1,1,3,7}	120960	190080	p7q3rs	12	4	840
169	{1,1,13}	122880	172032	p13qr	15	3	1920
170	{5,9}	124416	629856	p9q5	14	2	1536
171	{2,4,6}	129600	254016	p6q4r2	12	3	5184
172	{17}	131072	129140163	p17	17	1	1472
173	{1,3,10}	138240	193536	p10q3r	14	3	7168
174	{1,1,2,2,3}	138600	163800	p3q2r2st	9	5	360
175	{2,14}	147456	409600	p14q2	16	2	8856
176	{1,1,1,1,7}	147840	174720	p7qrst	11	5	384
177	{1,2,3,5}	151200	211680	p5q3r2s	11	4	3360
178	{1,5,7}	155520	217728	p7q5r	13	3	4320
179	{1,1,2,9}	161280	253440	p9q2rs	13	4	5760
180	{3,4,4}	162000	270000	p4q4r3	11	3	720
181	{4,11}	165888	1280000	p11q4	15	2	3888
182	{1,1,1,3,4}	166320	196560	p4q3rst	10	5	432
183	{2,3,8}	172800	288000	p8q3r2	13	3	6480
184	{2,2,2,4}	176400	396900	p4q2r2s2	10	4	3600
185	{1,1,1,1,2,2}	180180	235620	p2q2rstu	8	6	3780
186	{1,1,4,6}	181440	285120	p6q4rs	12	4	1260
187	{1,2,12}	184320	258048	p12q2r	15	3	2880
188	{6,8}	186624	419904	p8q6	14	2	2304
189	{1,3,3,3}	189000	297000	p3q3r3s	10	4	2376
190	{2,5,5}	194400	381024	p5q5r2	12	3	5400
191	{1,16}	196608	327680	p16q	17	2	2208
192	{1,2,2,7}	201600	282240	p7q2r2s	12	4	4992
193	{1,4,9}	207360	290304	p9q4r	14	3	5760
194	{1,1,1,11}	215040	337920	p11qrs	14	4	7680
195	{3,3,6}	216000	592704	p6q3r3	12	3	960
196	{3,13}	221184	1024000	p13q3	16	2	5184
197	{1,1,1,2,6}	221760	262080	p6q2rst	11	5	576
198	{1,2,4,4}	226800	317520	p4q4r2s	11	4	5040
199	{2,2,10}	230400	451584	p10q2r2	14	3	3600
200	{1,6,6}	233280	326592	p6q6r	13	3	2880
201	{1,1,1,1,1,4}	240240	314160	p4qrstu	9	6	6960
202	{1,1,3,8}	241920	380160	p8q3rs	13	4	1680
203	{1,1,14}	245760	344064	p14qr	16	3	3840
204	{5,10}	248832	1889568	p10q5	15	2	3072
205	{2,4,7}	259200	508032	p7q4r2	13	3	10368
206	{18}	262144	387420489	p18	18	1	2944
207	{2,2,3,3}	264600	441000	p3q3r2s2	10	4	2456
208	{1,1,5,5}	272160	427680	p5q5rs	12	4	7560
209	{1,3,11}	276480	387072	p11q3r	15	3	4320
210	{1,1,2,2,4}	277200	327600	p4q2r2st	10	5	720
211	{7,7}	279936	10000000	p7q7	14	2	2736
212	{2,15}	294912	819200	p15q2	17	2	14976
213	{1,1,1,1,8}	295680	349440	p8qrst	12	5	768
214	{1,2,3,6}	302400	423360	p6q3r2s	12	4	6720
215	{1,5,8}	311040	435456	p8q5r	14	3	8640
216	{1,1,2,10}	322560	506880	p10q2rs	14	4	11520
217	{3,4,5}	324000	486000	p5q4r3	12	3	1440
218	{4,12}	331776	2560000	p12q4	16	2	7776
219	{1,1,1,3,5}	332640	393120	p5q3rst	11	5	864
220	{2,3,9}	345600	576000	p9q3r2	14	3	12960
221	{2,2,2,5}	352800	871200	p5q2r2s2	11	4	7200
222	{1,1,1,1,2,3}	360360	471240	p3q2rstu	9	6	7560
223	{1,1,4,7}	362880	570240	p7q4rs	13	4	2520
224	{1,2,13}	368640	516096	p13q2r	16	3	5760
225	{6,9}	373248	1259712	p9q6	15	2	4608
226	{1,3,3,4}	378000	567000	p4q3r3s	11	4	4752
227	{2,5,6}	388800	583200	p6q5r2	13	3	10800
228	{1,17}	393216	655360	p17q	18	2	4416
229	{1,2,2,8}	403200	564480	p8q2r2s	13	4	9984
230	{1,4,10}	414720	580608	p10q4r	15	3	11520
231	{1,1,2,3,3}	415800	491400	p3q3r2st	10	5	1080
232	{1,1,1,12}	430080	675840	p12qrs	15	4	14280
233	{3,3,7}	432000	1185408	p7q3r3	13	3	1920
234	{3,14}	442368	2048000	p14q3	17	2	10368
235	{1,1,1,2,7}	443520	524160	p7q2rst	12	5	1152
236	{1,2,4,5}	453600	635040	p5q4r2s	12	4	10080
237	{2,2,11}	460800	903168	p11q2r2	15	3	7200
238	{1,6,7}	466560	653184	p7q6r	14	3	5760
239	{1,1,1,1,1,5}	480480	628320	p5qrstu	10	6	13920
240	{1,1,3,9}	483840	760320	p9q3rs	14	4	3360
241	{1,2,2,2,2}	485100	573300	p2q2r2s2t	9	5	1260
242	{1,1,15}	491520	688128	p15qr	17	3	6420
243	{5,11}	497664	5668704	p11q5	16	2	6144
244	{1,1,1,4,4}	498960	589680	p4q4rst	11	5	1296
245	{1,1,1,1,1,1,1}	510510	570570	pqrstuv	7	7	11550
246	{2,4,8}	518400	1016064	p8q4r2	14	3	7890
247	{19}	524288	1162261467	p19	19	1	5888
248	{2,2,3,4}	529200	793800	p4q3r2s2	11	4	4912
249	{1,1,5,6}	544320	816480	p6q5rs	13	4	15120
250	{1,3,12}	552960	774144	p12q3r	16	3	8640
251	{1,1,2,2,5}	554400	655200	p5q2r2st	11	5	1440
252	{7,8}	559872	839808	p8q7	15	2	5472
253	{2,16}	589824	1638400	p16q2	18	2	29952
254	{1,1,1,1,9}	591360	698880	p9qrst	13	5	1536
255	{1,2,3,7}	604800	846720	p7q3r2s	13	4	13440
256	{1,5,9}	622080	870912	p9q5r	15	3	17280
257	{1,1,2,11}	645120	1013760	p11q2rs	15	4	23040
258	{3,4,6}	648000	1080000	p6q4r3	13	3	2880
259	{4,13}	663552	5120000	p13q4	17	2	15552
260	{1,1,1,3,6}	665280	786240	p6q3rst	12	5	1728
261	{2,3,10}	691200	1152000	p10q3r2	15	3	25920
262	{2,2,2,6}	705600	1742400	p6q2r2s2	12	4	14400
263	{1,1,1,1,2,4}	720720	942480	p4q2rstu	10	6	15120
264	{1,1,4,8}	725760	1140480	p8q4rs	14	4	5040
265	{1,2,14}	737280	1032192	p14q2r	17	3	11520
266	{6,10}	746496	3779136	p10q6	16	2	9216
267	{1,3,3,5}	756000	1188000	p5q3r3s	12	4	9504
268	{2,5,7}	777600	1524096	p7q5r2	14	3	21600
269	{1,18}	786432	1310720	p18q	19	2	8832
270	{1,2,2,9}	806400	1128960	p9q2r2s	14	4	19968
271	{4,4,4}	810000	3111696	p4q4r4	12	3	3600
272	{1,4,11}	829440	1161216	p11q4r	16	3	19440
273	{1,1,2,3,4}	831600	982800	p4q3r2st	11	5	2160
274	{1,1,1,13}	860160	1351680	p13qrs	16	4	28560
275	{3,3,8}	864000	2370816	p8q3r3	14	3	3840
276	{3,15}	884736	4096000	p15q3	18	2	20736
277	{1,1,1,2,8}	887040	1048320	p8q2rst	13	5	2304
278	{1,1,1,2,2,2}	900900	1178100	p2q2r2stu	9	6	13860
279	{1,2,4,6}	907200	1270080	p6q4r2s	13	4	6300
280	{2,2,12}	921600	1806336	p12q2r2	16	3	14400
281	{1,6,8}	933120	1306368	p8q6r	15	3	11520
282	{1,1,1,1,1,6}	960960	1256640	p6qrstu	11	6	27840
283	{1,1,3,10}	967680	1520640	p10q3rs	15	4	6720
284	{1,2,2,2,3}	970200	1146600	p3q2r2s2t	10	5	2520
285	{3,5,5}	972000	2667168	p5q5r3	13	3	1800
286	{1,1,16}	983040	1376256	p16qr	18	3	11040
287	{5,12}	995328	12800000	p12q5	17	2	12288
288	{1,1,1,4,5}	997920	1179360	p5q4rst	12	5	2592
289	{1,1,1,1,1,1,2}	1021020	1141140	p2qrstuv	8	7	23100
290	{2,4,9}	1036800	2032128	p9q4r2	15	3	15780
291	{20}	1048576	3486784401	p20	20	1	11776
292	{2,2,3,5}	1058400	1764000	p5q3r2s2	12	4	9824
293	{1,1,1,1,3,3}	1081080	1413720	p3q3rstu	10	6	22680
294	{1,1,5,7}	1088640	1710720	p7q5rs	14	4	7560
295	{1,3,13}	1105920	1548288	p13q3r	17	3	17280
296	{1,1,2,2,6}	1108800	1310400	p6q2r2st	12	5	2880
297	{7,9}	1119744	2519424	p9q7	16	2	10944
298	{1,3,4,4}	1134000	1782000	p4q4r3s	12	4	14256
299	{2,6,6}	1166400	2286144	p6q6r2	14	3	32400
300	{2,17}	1179648	3276800	p17q2	19	2	13248
301	{1,1,1,1,10}	1182720	1397760	p10qrst	14	5	3072
302	{1,2,3,8}	1209600	1693440	p8q3r2s	14	4	26880
303	{1,5,10}	1244160	1741824	p10q5r	16	3	34560
304	{1,1,2,12}	1290240	2027520	p12q2rs	16	4	46080
305	{3,4,7}	1296000	2160000	p7q4r3	14	3	5760
306	{2,3,3,3}	1323000	1852200	p3q3r3s2	11	4	27000
307	{4,14}	1327104	10240000	p14q4	18	2	4104
308	{1,1,1,3,7}	1330560	1572480	p7q3rst	13	5	3456
309	{1,2,5,5}	1360800	1905120	p5q5r2s	13	4	30240
310	{2,3,11}	1382400	2304000	p11q3r2	16	3	21600
311	{1,7,7}	1399680	1959552	p7q7r	15	3	17280
312	{2,2,2,7}	1411200	3484800	p7q2r2s2	13	4	11520
313	{1,1,1,1,2,5}	1441440	1884960	p5q2rstu	11	6	30240
314	{1,1,4,9}	1451520	2280960	p9q4rs	15	4	10080
315	{1,2,15}	1474560	2064384	p15q2r	18	3	23040
316	{6,11}	1492992	11337408	p11q6	17	2	18432
317	{1,3,3,6}	1512000	2376000	p6q3r3s	13	4	19008
318	{2,5,8}	1555200	3048192	p8q5r2	15	3	43200
319	{1,19}	1572864	2621440	p19q	20	2	17664
320	{2,2,4,4}	1587600	3920400	p4q4r2s2	12	4	14736
321	{1,2,2,10}	1612800	2257920	p10q2r2s	15	4	25200
322	{4,4,5}	1620000	2430000	p5q4r4	13	3	7200
323	{1,1,6,6}	1632960	2566080	p6q6rs	14	4	12960
324	{1,4,12}	1658880	2322432	p12q4r	17	3	25920
325	{1,1,2,3,5}	1663200	1965600	p5q3r2st	12	5	4320
326	{8,8}	1679616	100000000	p8q8	16	2	16416
327	{1,1,1,14}	1720320	2703360	p14qrs	17	4	40704
328	{3,3,9}	1728000	4741632	p9q3r3	15	3	7680
329	{3,16}	1769472	8192000	p16q3	19	2	41472
330	{1,1,1,2,9}	1774080	2096640	p9q2rst	14	5	4608
331	{1,1,1,2,2,3}	1801800	2356200	p3q2r2stu	10	6	27720
332	{1,2,4,7}	1814400	2540160	p7q4r2s	14	4	12600
333	{2,2,13}	1843200	3612672	p13q2r2	17	3	28800
334	{1,6,9}	1866240	2612736	p9q6r	16	3	23040
335	{1,1,1,1,1,7}	1921920	2513280	p7qrstu	12	6	55680
336	{1,1,3,11}	1935360	3041280	p11q3rs	16	4	13440
337	{1,2,2,2,4}	1940400	2293200	p4q2r2s2t	11	5	5040
338	{3,5,6}	1944000	2916000	p6q5r3	14	3	3600
339	{1,1,17}	1966080	2752512	p17qr	19	3	22080
340	{5,13}	1990656	25600000	p13q5	18	2	24576
341	{1,1,1,4,6}	1995840	2358720	p6q4rst	13	5	5184
342	{1,1,1,1,1,1,3}	2042040	2282280	p3qrstuv	9	7	46200
343	{2,4,10}	2073600	4064256	p10q4r2	16	3	31560
344	{1,1,3,3,3}	2079000	2457000	p3q3r3st	11	5	5400
345	{21}	2097152	10460353203	p21	21	1	18152
346	{2,2,3,6}	2116800	3528000	p6q3r2s2	13	4	19648
347	{1,1,1,1,3,4}	2162160	2827440	p4q3rstu	11	6	45360
348	{1,1,5,8}	2177280	3421440	p8q5rs	15	4	15120
349	{1,3,14}	2211840	3096576	p14q3r	18	3	34560
350	{1,1,2,2,7}	2217600	2620800	p7q2r2st	13	5	5760
351	{7,10}	2239488	7558272	p10q7	17	2	21888
352	{1,3,4,5}	2268000	3402000	p5q4r3s	13	4	28512
353	{2,6,7}	2332800	3499200	p7q6r2	15	3	64800
354	{2,18}	2359296	6553600	p18q2	20	2	26496
355	{1,1,1,1,11}	2365440	2795520	p11qrst	15	5	6144
356	{1,2,3,9}	2419200	3386880	p9q3r2s	15	4	53760
357	{1,5,11}	2488320	3483648	p11q5r	17	3	69120
358	{1,1,2,4,4}	2494800	2948400	p4q4r2st	12	5	6480
359	{1,1,2,13}	2580480	4055040	p13q2rs	17	4	85680

Prime signature list, part 4

#	Prime signature	First	Prime fact.	P D	D F	Diff
360	{3,4,8}	2592000	p8q4r3	15	3	11520
361	{2,3,3,4}	2646000	p4q3r3s2	12	4	54000
362	{4,15}	2654208	p15q4	19	2	8208
363	{1,1,1,3,8}	2661120	p8q3rst	14	5	6912
364	{1,2,5,6}	2721600	p6q5r2s	14	4	60480
365	{2,3,12}	2764800	p12q3r2	17	3	43200
366	{1,7,8}	2799360	p8q7r	16	3	34560
367	{2,2,2,8}	2822400	p8q2r2s2	14	4	23040
368	{1,1,1,1,2,6}	2882880	p6q2rstu	12	6	60480
369	{1,1,4,10}	2903040	p10q4rs	16	4	20160
370	{1,2,2,3,3}	2910600	p3q3r2s2t	11	5	7560
371	{1,2,16}	2949120	p16q2r	19	3	38520
372	{6,12}	2985984	p12q6	18	2	36864
373	{1,1,1,5,5}	2993760	p5q5rst	13	5	7776
374	{1,3,3,7}	3024000	p7q3r3s	14	4	30240
375	{1,1,1,1,1,2,2}	3063060	p2q2rstuv	9	7	39060
376	{2,5,9}	3110400	p9q5r2	16	3	47340
377	{1,20}	3145728	p20q	21	2	35328
378	{2,2,4,5}	3175200	p5q4r2s2	13	4	29472
379	{1,2,2,11}	3225600	p11q2r2s	16	4	50400
380	{4,4,6}	3240000	p6q4r4	14	3	14400
381	{1,1,6,7}	3265920	p7q6rs	15	4	25920
382	{1,4,13}	3317760	p13q4r	18	3	51840
383	{1,1,2,3,6}	3326400	p6q3r2st	13	5	8640
384	{8,9}	3359232	p9q8	17	2	32832
385	{1,1,1,15}	3440640	p15qrs	18	4	81408
386	{3,3,10}	3456000	p10q3r3	16	3	15360
387	{3,17}	3538944	p17q3	20	2	82944
388	{1,1,1,2,10}	3548160	p10q2rst	15	5	9216
389	{1,1,1,2,2,4}	3603600	p4q2r2stu	11	6	55440
390	{1,2,4,8}	3628800	p8q4r2s	15	4	25200
391	{2,2,14}	3686400	p14q2r2	18	3	57600
392	{1,6,10}	3732480	p10q6r	17	3	46080
393	{1,1,1,1,1,8}	3843840	p8qrstu	13	6	111360
394	{1,1,3,12}	3870720	p12q3rs	17	4	26880
395	{1,2,2,2,5}	3880800	p5q2r2s2t	12	5	10080
396	{3,5,7}	3888000	p7q5r3	15	3	7200
397	{1,1,18}	3932160	p18qr	20	3	44160
398	{5,14}	3981312	p14q5	19	2	49152
399	{1,1,1,4,7}	3991680	p7q4rst	14	5	10368
400	{1,1,1,1,1,1,4}	4084080	p4qrstuv	10	7	92400
401	{2,4,11}	4147200	p11q4r2	17	3	63120
402	{1,1,3,3,4}	4158000	p4q3r3st	12	5	10800
403	{22}	4194304	p22	22	1	36304