table of integer factorizations for

In addition to the factorizations of the first thousand positive integers, the following table also gives the values of the following functions: $\mathrm{\Omega }(n)$, the number of (nondistinct) prime factors function; $\omega (n)$, the number of distinct prime factors function; the difference between the two $\mathrm{\Omega }(n)-\omega (n)$ (with the heading ${\mathrm{\Sigma }}^a$ for the sake of not making the table wider than necessary); $\lambda (n)$, the Liouville function; and $\mu (n)$, the Möbius function.

$n$	Factorization	$\mathrm{\Omega }(n)$	$\omega (n)$	${\mathrm{\Sigma }}^a$	$\lambda (n)$	$\mu (n)$
1	Unit	0	0	0	1	1
2	Prime	1	1	0	$-1$	$-1$
3	Prime	1	1	0	$-1$	$-1$
4	$2^2$	2	1	1	1	0
5	Prime	1	1	0	$-1$	$-1$
6	$2\cdot 3$	2	2	0	1	1
7	Prime	1	1	0	$-1$	$-1$
8	$2^3$	3	1	2	$-1$	0
9	$3^2$	2	1	1	1	0
10	$2\cdot 5$	2	2	0	1	1
11	Prime	1	1	0	$-1$	$-1$
12	$2^2\cdot 3$	3	2	1	$-1$	0
13	Prime	1	1	0	$-1$	$-1$
14	$2\cdot 7$	2	2	0	1	1
15	$3\cdot 5$	2	2	0	1	1
16	$2^4$	4	1	3	1	0
17	Prime	1	1	0	$-1$	$-1$
18	$2\cdot 3^2$	3	2	1	$-1$	0
19	Prime	1	1	0	$-1$	$-1$
20	$2^2\cdot 5$	3	2	1	$-1$	0
21	$3\cdot 7$	2	2	0	1	1
22	$2\cdot 11$	2	2	0	1	1
23	Prime	1	1	0	$-1$	$-1$
24	$2^3\cdot 3$	4	2	2	1	0
25	$5^2$	2	1	1	1	0
26	$2\cdot 13$	2	2	0	1	1
27	$3^3$	3	1	2	$-1$	0
28	$2^2\cdot 7$	3	2	1	$-1$	0
29	Prime	1	1	0	$-1$	$-1$
30	$2\cdot 3\cdot 5$	3	3	0	$-1$	$-1$
31	Prime	1	1	0	$-1$	$-1$
32	$2^5$	5	1	4	$-1$	0
33	$3\cdot 11$	2	2	0	1	1
34	$2\cdot 17$	2	2	0	1	1
35	$5\cdot 7$	2	2	0	1	1
36	$2^2\cdot 3^2$	4	2	2	1	0
37	Prime	1	1	0	$-1$	$-1$
38	$2\cdot 19$	2	2	0	1	1
39	$3\cdot 13$	2	2	0	1	1
40	$2^3\cdot 5$	4	2	2	1	0
41	Prime	1	1	0	$-1$	$-1$
42	$2\cdot 3\cdot 7$	3	3	0	$-1$	$-1$
43	Prime	1	1	0	$-1$	$-1$
44	$2^2\cdot 11$	3	2	1	$-1$	0
45	$3^2\cdot 5$	3	2	1	$-1$	0
46	$2\cdot 23$	2	2	0	1	1
47	Prime	1	1	0	$-1$	$-1$
48	$2^4\cdot 3$	5	2	3	$-1$	0
49	$7^2$	2	1	1	1	0
50	$2\cdot 5^2$	3	2	1	$-1$	0
51	$3\cdot 17$	2	2	0	1	1
52	$2^2\cdot 13$	3	2	1	$-1$	0
53	Prime	1	1	0	$-1$	$-1$
54	$2\cdot 3^3$	4	2	2	1	0
55	$5\cdot 11$	2	2	0	1	1
56	$2^3\cdot 7$	4	2	2	1	0
57	$3\cdot 19$	2	2	0	1	1
58	$2\cdot 29$	2	2	0	1	1
59	Prime	1	1	0	$-1$	$-1$
60	$2^2\cdot 3\cdot 5$	4	3	1	1	0
61	Prime	1	1	0	$-1$	$-1$
62	$2\cdot 31$	2	2	0	1	1
63	$3^2\cdot 7$	3	2	1	$-1$	0
64	$2^6$	6	1	5	1	0
65	$5\cdot 13$	2	2	0	1	1
66	$2\cdot 3\cdot 11$	3	3	0	$-1$	$-1$
67	Prime	1	1	0	$-1$	$-1$
68	$2^2\cdot 17$	3	2	1	$-1$	0
69	$3\cdot 23$	2	2	0	1	1
70	$2\cdot 5\cdot 7$	3	3	0	$-1$	$-1$
71	Prime	1	1	0	$-1$	$-1$
72	$2^3\cdot 3^2$	5	2	3	$-1$	0
73	Prime	1	1	0	$-1$	$-1$
74	$2\cdot 37$	2	2	0	1	1
75	$3\cdot 5^2$	3	2	1	$-1$	0
76	$2^2\cdot 19$	3	2	1	$-1$	0
77	$7\cdot 11$	2	2	0	1	1
78	$2\cdot 3\cdot 13$	3	3	0	$-1$	$-1$
79	Prime	1	1	0	$-1$	$-1$
80	$2^4\cdot 5$	5	2	3	$-1$	0
81	$3^4$	4	1	3	1	0
82	$2\cdot 41$	2	2	0	1	1
83	Prime	1	1	0	$-1$	$-1$
84	$2^2\cdot 3\cdot 7$	4	3	1	1	0
85	$5\cdot 17$	2	2	0	1	1
86	$2\cdot 43$	2	2	0	1	1
87	$3\cdot 29$	2	2	0	1	1
88	$2^3\cdot 11$	4	2	2	1	0
89	Prime	1	1	0	$-1$	$-1$
90	$2\cdot 3^2\cdot 5$	4	3	1	1	0
91	$7\cdot 13$	2	2	0	1	1
92	$2^2\cdot 23$	3	2	1	$-1$	0
93	$3\cdot 31$	2	2	0	1	1
94	$2\cdot 47$	2	2	0	1	1
95	$5\cdot 19$	2	2	0	1	1
96	$2^5\cdot 3$	6	2	4	1	0
97	Prime	1	1	0	$-1$	$-1$
98	$2\cdot 7^2$	3	2	1	$-1$	0
99	$3^2\cdot 11$	3	2	1	$-1$	0
100	$2^2\cdot 5^2$	4	2	2	1	0
101	Prime	1	1	0	$-1$	$-1$
102	$2\cdot 3\cdot 17$	3	3	0	$-1$	$-1$
103	Prime	1	1	0	$-1$	$-1$
104	$2^3\cdot 13$	4	2	2	1	0
105	$3\cdot 5\cdot 7$	3	3	0	$-1$	$-1$
106	$2\cdot 53$	2	2	0	1	1
107	Prime	1	1	0	$-1$	$-1$
108	$2^2\cdot 3^3$	5	2	3	$-1$	0
109	Prime	1	1	0	$-1$	$-1$
110	$2\cdot 5\cdot 11$	3	3	0	$-1$	$-1$
111	$3\cdot 37$	2	2	0	1	1
112	$2^4\cdot 7$	5	2	3	$-1$	0
113	Prime	1	1	0	$-1$	$-1$
114	$2\cdot 3\cdot 19$	3	3	0	$-1$	$-1$
115	$5\cdot 23$	2	2	0	1	1
116	$2^2\cdot 29$	3	2	1	$-1$	0
117	$3^2\cdot 13$	3	2	1	$-1$	0
118	$2\cdot 59$	2	2	0	1	1
119	$7\cdot 17$	2	2	0	1	1
120	$2^3\cdot 3\cdot 5$	5	3	2	$-1$	0
121	${11}^2$	2	1	1	1	0
122	$2\cdot 61$	2	2	0	1	1
123	$3\cdot 41$	2	2	0	1	1
124	$2^2\cdot 31$	3	2	1	$-1$	0
125	$5^3$	3	1	2	$-1$	0
126	$2\cdot 3^2\cdot 7$	4	3	1	1	0
127	Prime	1	1	0	$-1$	$-1$
128	$2^7$	7	1	6	$-1$	0
129	$3\cdot 43$	2	2	0	1	1
130	$2\cdot 5\cdot 13$	3	3	0	$-1$	$-1$
131	Prime	1	1	0	$-1$	$-1$
132	$2^2\cdot 3\cdot 11$	4	3	1	1	0
133	$7\cdot 19$	2	2	0	1	1
134	$2\cdot 67$	2	2	0	1	1
135	$3^3\cdot 5$	4	2	2	1	0
136	$2^3\cdot 17$	4	2	2	1	0
137	Prime	1	1	0	$-1$	$-1$
138	$2\cdot 3\cdot 23$	3	3	0	$-1$	$-1$
139	Prime	1	1	0	$-1$	$-1$
140	$2^2\cdot 5\cdot 7$	4	3	1	1	0
141	$3\cdot 47$	2	2	0	1	1
142	$2\cdot 71$	2	2	0	1	1
143	$11\cdot 13$	2	2	0	1	1
144	$2^4\cdot 3^2$	6	2	4	1	0
145	$5\cdot 29$	2	2	0	1	1
146	$2\cdot 73$	2	2	0	1	1
147	$3\cdot 7^2$	3	2	1	$-1$	0
148	$2^2\cdot 37$	3	2	1	$-1$	0
149	Prime	1	1	0	$-1$	$-1$
150	$2\cdot 3\cdot 5^2$	4	3	1	1	0
151	Prime	1	1	0	$-1$	$-1$
152	$2^3\cdot 19$	4	2	2	1	0
153	$3^2\cdot 17$	3	2	1	$-1$	0
154	$2\cdot 7\cdot 11$	3	3	0	$-1$	$-1$
155	$5\cdot 31$	2	2	0	1	1
156	$2^2\cdot 3\cdot 13$	4	3	1	1	0
157	Prime	1	1	0	$-1$	$-1$
158	$2\cdot 79$	2	2	0	1	1
159	$3\cdot 53$	2	2	0	1	1
160	$2^5\cdot 5$	6	2	4	1	0
161	$7\cdot 23$	2	2	0	1	1
162	$2\cdot 3^4$	5	2	3	$-1$	0
163	Prime	1	1	0	$-1$	$-1$
164	$2^2\cdot 41$	3	2	1	$-1$	0
165	$3\cdot 5\cdot 11$	3	3	0	$-1$	$-1$
166	$2\cdot 83$	2	2	0	1	1
167	Prime	1	1	0	$-1$	$-1$
168	$2^3\cdot 3\cdot 7$	5	3	2	$-1$	0
169	${13}^2$	2	1	1	1	0
170	$2\cdot 5\cdot 17$	3	3	0	$-1$	$-1$
171	$3^2\cdot 19$	3	2	1	$-1$	0
172	$2^2\cdot 43$	3	2	1	$-1$	0
173	Prime	1	1	0	$-1$	$-1$
174	$2\cdot 3\cdot 29$	3	3	0	$-1$	$-1$
175	$5^2\cdot 7$	3	2	1	$-1$	0
176	$2^4\cdot 11$	5	2	3	$-1$	0
177	$3\cdot 59$	2	2	0	1	1
178	$2\cdot 89$	2	2	0	1	1
179	Prime	1	1	0	$-1$	$-1$
180	$2^2\cdot 3^2\cdot 5$	5	3	2	$-1$	0
181	Prime	1	1	0	$-1$	$-1$
182	$2\cdot 7\cdot 13$	3	3	0	$-1$	$-1$
183	$3\cdot 61$	2	2	0	1	1
184	$2^3\cdot 23$	4	2	2	1	0
185	$5\cdot 37$	2	2	0	1	1
186	$2\cdot 3\cdot 31$	3	3	0	$-1$	$-1$
187	$11\cdot 17$	2	2	0	1	1
188	$2^2\cdot 47$	3	2	1	$-1$	0
189	$3^3\cdot 7$	4	2	2	1	0
190	$2\cdot 5\cdot 19$	3	3	0	$-1$	$-1$
191	Prime	1	1	0	$-1$	$-1$
192	$2^6\cdot 3$	7	2	5	$-1$	0
193	Prime	1	1	0	$-1$	$-1$
194	$2\cdot 97$	2	2	0	1	1
195	$3\cdot 5\cdot 13$	3	3	0	$-1$	$-1$
196	$2^2\cdot 7^2$	4	2	2	1	0
197	Prime	1	1	0	$-1$	$-1$
198	$2\cdot 3^2\cdot 11$	4	3	1	1	0
199	Prime	1	1	0	$-1$	$-1$
200	$2^3\cdot 5^2$	5	2	3	$-1$	0
201	$3\cdot 67$	2	2	0	1	1
202	$2\cdot 101$	2	2	0	1	1
203	$7\cdot 29$	2	2	0	1	1
204	$2^2\cdot 3\cdot 17$	4	3	1	1	0
205	$5\cdot 41$	2	2	0	1	1
206	$2\cdot 103$	2	2	0	1	1
207	$3^2\cdot 23$	3	2	1	$-1$	0
208	$2^4\cdot 13$	5	2	3	$-1$	0
209	$11\cdot 19$	2	2	0	1	1
210	$2\cdot 3\cdot 5\cdot 7$	4	4	0	1	1
211	Prime	1	1	0	$-1$	$-1$
212	$2^2\cdot 53$	3	2	1	$-1$	0
213	$3\cdot 71$	2	2	0	1	1
214	$2\cdot 107$	2	2	0	1	1
215	$5\cdot 43$	2	2	0	1	1
216	$2^3\cdot 3^3$	6	2	4	1	0
217	$7\cdot 31$	2	2	0	1	1
218	$2\cdot 109$	2	2	0	1	1
219	$3\cdot 73$	2	2	0	1	1
220	$2^2\cdot 5\cdot 11$	4	3	1	1	0
221	$13\cdot 17$	2	2	0	1	1
222	$2\cdot 3\cdot 37$	3	3	0	$-1$	$-1$
223	Prime	1	1	0	$-1$	$-1$
224	$2^5\cdot 7$	6	2	4	1	0
225	$3^2\cdot 5^2$	4	2	2	1	0
226	$2\cdot 113$	2	2	0	1	1
227	Prime	1	1	0	$-1$	$-1$
228	$2^2\cdot 3\cdot 19$	4	3	1	1	0
229	Prime	1	1	0	$-1$	$-1$
230	$2\cdot 5\cdot 23$	3	3	0	$-1$	$-1$
231	$3\cdot 7\cdot 11$	3	3	0	$-1$	$-1$
232	$2^3\cdot 29$	4	2	2	1	0
233	Prime	1	1	0	$-1$	$-1$
234	$2\cdot 3^2\cdot 13$	4	3	1	1	0
235	$5\cdot 47$	2	2	0	1	1
236	$2^2\cdot 59$	3	2	1	$-1$	0
237	$3\cdot 79$	2	2	0	1	1
238	$2\cdot 7\cdot 17$	3	3	0	$-1$	$-1$
239	Prime	1	1	0	$-1$	$-1$
240	$2^4\cdot 3\cdot 5$	6	3	3	1	0
241	Prime	1	1	0	$-1$	$-1$
242	$2\cdot {11}^2$	3	2	1	$-1$	0
243	$3^5$	5	1	4	$-1$	0
244	$2^2\cdot 61$	3	2	1	$-1$	0
245	$5\cdot 7^2$	3	2	1	$-1$	0
246	$2\cdot 3\cdot 41$	3	3	0	$-1$	$-1$
247	$13\cdot 19$	2	2	0	1	1
248	$2^3\cdot 31$	4	2	2	1	0
249	$3\cdot 83$	2	2	0	1	1
250	$2\cdot 5^3$	4	2	2	1	0
251	Prime	1	1	0	$-1$	$-1$
252	$2^2\cdot 3^2\cdot 7$	5	3	2	$-1$	0
253	$11\cdot 23$	2	2	0	1	1
254	$2\cdot 127$	2	2	0	1	1
255	$3\cdot 5\cdot 17$	3	3	0	$-1$	$-1$
256	$2^8$	8	1	7	1	0
257	Prime	1	1	0	$-1$	$-1$
258	$2\cdot 3\cdot 43$	3	3	0	$-1$	$-1$
259	$7\cdot 37$	2	2	0	1	1
260	$2^2\cdot 5\cdot 13$	4	3	1	1	0
261	$3^2\cdot 29$	3	2	1	$-1$	0
262	$2\cdot 131$	2	2	0	1	1
263	Prime	1	1	0	$-1$	$-1$
264	$2^3\cdot 3\cdot 11$	5	3	2	$-1$	0
265	$5\cdot 53$	2	2	0	1	1
266	$2\cdot 7\cdot 19$	3	3	0	$-1$	$-1$
267	$3\cdot 89$	2	2	0	1	1
268	$2^2\cdot 67$	3	2	1	$-1$	0
269	Prime	1	1	0	$-1$	$-1$
270	$2\cdot 3^3\cdot 5$	5	3	2	$-1$	0
271	Prime	1	1	0	$-1$	$-1$
272	$2^4\cdot 17$	5	2	3	$-1$	0
273	$3\cdot 7\cdot 13$	3	3	0	$-1$	$-1$
274	$2\cdot 137$	2	2	0	1	1
275	$5^2\cdot 11$	3	2	1	$-1$	0
276	$2^2\cdot 3\cdot 23$	4	3	1	1	0
277	Prime	1	1	0	$-1$	$-1$
278	$2\cdot 139$	2	2	0	1	1
279	$3^2\cdot 31$	3	2	1	$-1$	0
280	$2^3\cdot 5\cdot 7$	5	3	2	$-1$	0
281	Prime	1	1	0	$-1$	$-1$
282	$2\cdot 3\cdot 47$	3	3	0	$-1$	$-1$
283	Prime	1	1	0	$-1$	$-1$
284	$2^2\cdot 71$	3	2	1	$-1$	0
285	$3\cdot 5\cdot 19$	3	3	0	$-1$	$-1$
286	$2\cdot 11\cdot 13$	3	3	0	$-1$	$-1$
287	$7\cdot 41$	2	2	0	1	1
288	$2^5\cdot 3^2$	7	2	5	$-1$	0
289	${17}^2$	2	1	1	1	0
290	$2\cdot 5\cdot 29$	3	3	0	$-1$	$-1$
291	$3\cdot 97$	2	2	0	1	1
292	$2^2\cdot 73$	3	2	1	$-1$	0
293	Prime	1	1	0	$-1$	$-1$
294	$2\cdot 3\cdot 7^2$	4	3	1	1	0
295	$5\cdot 59$	2	2	0	1	1
296	$2^3\cdot 37$	4	2	2	1	0
297	$3^3\cdot 11$	4	2	2	1	0
298	$2\cdot 149$	2	2	0	1	1
299	$13\cdot 23$	2	2	0	1	1
300	$2^2\cdot 3\cdot 5^2$	5	3	2	$-1$	0
301	$7\cdot 43$	2	2	0	1	1
302	$2\cdot 151$	2	2	0	1	1
303	$3\cdot 101$	2	2	0	1	1
304	$2^4\cdot 19$	5	2	3	$-1$	0
305	$5\cdot 61$	2	2	0	1	1
306	$2\cdot 3^2\cdot 17$	4	3	1	1	0
307	Prime	1	1	0	$-1$	$-1$
308	$2^2\cdot 7\cdot 11$	4	3	1	1	0
309	$3\cdot 103$	2	2	0	1	1
310	$2\cdot 5\cdot 31$	3	3	0	$-1$	$-1$
311	Prime	1	1	0	$-1$	$-1$
312	$2^3\cdot 3\cdot 13$	5	3	2	$-1$	0
313	Prime	1	1	0	$-1$	$-1$
314	$2\cdot 157$	2	2	0	1	1
315	$3^2\cdot 5\cdot 7$	4	3	1	1	0
316	$2^2\cdot 79$	3	2	1	$-1$	0
317	Prime	1	1	0	$-1$	$-1$
318	$2\cdot 3\cdot 53$	3	3	0	$-1$	$-1$
319	$11\cdot 29$	2	2	0	1	1
320	$2^6\cdot 5$	7	2	5	$-1$	0
321	$3\cdot 107$	2	2	0	1	1
322	$2\cdot 7\cdot 23$	3	3	0	$-1$	$-1$
323	$17\cdot 19$	2	2	0	1	1
324	$2^2\cdot 3^4$	6	2	4	1	0
325	$5^2\cdot 13$	3	2	1	$-1$	0
326	$2\cdot 163$	2	2	0	1	1
327	$3\cdot 109$	2	2	0	1	1
328	$2^3\cdot 41$	4	2	2	1	0
329	$7\cdot 47$	2	2	0	1	1
330	$2\cdot 3\cdot 5\cdot 11$	4	4	0	1	1
331	Prime	1	1	0	$-1$	$-1$
332	$2^2\cdot 83$	3	2	1	$-1$	0
333	$3^2\cdot 37$	3	2	1	$-1$	0
334	$2\cdot 167$	2	2	0	1	1
335	$5\cdot 67$	2	2	0	1	1
336	$2^4\cdot 3\cdot 7$	6	3	3	1	0
337	Prime	1	1	0	$-1$	$-1$
338	$2\cdot {13}^2$	3	2	1	$-1$	0
339	$3\cdot 113$	2	2	0	1	1
340	$2^2\cdot 5\cdot 17$	4	3	1	1	0
341	$11\cdot 31$	2	2	0	1	1
342	$2\cdot 3^2\cdot 19$	4	3	1	1	0
343	$7^3$	3	1	2	$-1$	0
344	$2^3\cdot 43$	4	2	2	1	0
345	$3\cdot 5\cdot 23$	3	3	0	$-1$	$-1$
346	$2\cdot 173$	2	2	0	1	1
347	Prime	1	1	0	$-1$	$-1$
348	$2^2\cdot 3\cdot 29$	4	3	1	1	0
349	Prime	1	1	0	$-1$	$-1$
350	$2\cdot 5^2\cdot 7$	4	3	1	1	0
351	$3^3\cdot 13$	4	2	2	1	0
352	$2^5\cdot 11$	6	2	4	1	0
353	Prime	1	1	0	$-1$	$-1$
354	$2\cdot 3\cdot 59$	3	3	0	$-1$	$-1$
355	$5\cdot 71$	2	2	0	1	1
356	$2^2\cdot 89$	3	2	1	$-1$	0
357	$3\cdot 7\cdot 17$	3	3	0	$-1$	$-1$
358	$2\cdot 179$	2	2	0	1	1
359	Prime	1	1	0	$-1$	$-1$
360	$2^3\cdot 3^2\cdot 5$	6	3	3	1	0
361	${19}^2$	2	1	1	1	0
362	$2\cdot 181$	2	2	0	1	1
363	$3\cdot {11}^2$	3	2	1	$-1$	0
364	$2^2\cdot 7\cdot 13$	4	3	1	1	0
365	$5\cdot 73$	2	2	0	1	1
366	$2\cdot 3\cdot 61$	3	3	0	$-1$	$-1$
367	Prime	1	1	0	$-1$	$-1$
368	$2^4\cdot 23$	5	2	3	$-1$	0
369	$3^2\cdot 41$	3	2	1	$-1$	0
370	$2\cdot 5\cdot 37$	3	3	0	$-1$	$-1$
371	$7\cdot 53$	2	2	0	1	1
372	$2^2\cdot 3\cdot 31$	4	3	1	1	0
373	Prime	1	1	0	$-1$	$-1$
374	$2\cdot 11\cdot 17$	3	3	0	$-1$	$-1$
375	$3\cdot 5^3$	4	2	2	1	0
376	$2^3\cdot 47$	4	2	2	1	0
377	$13\cdot 29$	2	2	0	1	1
378	$2\cdot 3^3\cdot 7$	5	3	2	$-1$	0
379	Prime	1	1	0	$-1$	$-1$
380	$2^2\cdot 5\cdot 19$	4	3	1	1	0
381	$3\cdot 127$	2	2	0	1	1
382	$2\cdot 191$	2	2	0	1	1
383	Prime	1	1	0	$-1$	$-1$
384	$2^7\cdot 3$	8	2	6	1	0
385	$5\cdot 7\cdot 11$	3	3	0	$-1$	$-1$
386	$2\cdot 193$	2	2	0	1	1
387	$3^2\cdot 43$	3	2	1	$-1$	0
388	$2^2\cdot 97$	3	2	1	$-1$	0
389	Prime	1	1	0	$-1$	$-1$
390	$2\cdot 3\cdot 5\cdot 13$	4	4	0	1	1
391	$17\cdot 23$	2	2	0	1	1
392	$2^3\cdot 7^2$	5	2	3	$-1$	0
393	$3\cdot 131$	2	2	0	1	1
394	$2\cdot 197$	2	2	0	1	1
395	$5\cdot 79$	2	2	0	1	1
396	$2^2\cdot 3^2\cdot 11$	5	3	2	$-1$	0
397	Prime	1	1	0	$-1$	$-1$
398	$2\cdot 199$	2	2	0	1	1
399	$3\cdot 7\cdot 19$	3	3	0	$-1$	$-1$
400	$2^4\cdot 5^2$	6	2	4	1	0
401	Prime	1	1	0	$-1$	$-1$
402	$2\cdot 3\cdot 67$	3	3	0	$-1$	$-1$
403	$13\cdot 31$	2	2	0	1	1
404	$2^2\cdot 101$	3	2	1	$-1$	0
405	$3^4\cdot 5$	5	2	3	$-1$	0
406	$2\cdot 7\cdot 29$	3	3	0	$-1$	$-1$
407	$11\cdot 37$	2	2	0	1	1
408	$2^3\cdot 3\cdot 17$	5	3	2	$-1$	0
409	Prime	1	1	0	$-1$	$-1$
410	$2\cdot 5\cdot 41$	3	3	0	$-1$	$-1$
411	$3\cdot 137$	2	2	0	1	1
412	$2^2\cdot 103$	3	2	1	$-1$	0
413	$7\cdot 59$	2	2	0	1	1
414	$2\cdot 3^2\cdot 23$	4	3	1	1	0
415	$5\cdot 83$	2	2	0	1	1
416	$2^5\cdot 13$	6	2	4	1	0
417	$3\cdot 139$	2	2	0	1	1
418	$2\cdot 11\cdot 19$	3	3	0	$-1$	$-1$
419	Prime	1	1	0	$-1$	$-1$
420	$2^2\cdot 3\cdot 5\cdot 7$	5	4	1	$-1$	0
421	Prime	1	1	0	$-1$	$-1$
422	$2\cdot 211$	2	2	0	1	1
423	$3^2\cdot 47$	3	2	1	$-1$	0
424	$2^3\cdot 53$	4	2	2	1	0
425	$5^2\cdot 17$	3	2	1	$-1$	0
426	$2\cdot 3\cdot 71$	3	3	0	$-1$	$-1$
427	$7\cdot 61$	2	2	0	1	1
428	$2^2\cdot 107$	3	2	1	$-1$	0
429	$3\cdot 11\cdot 13$	3	3	0	$-1$	$-1$
430	$2\cdot 5\cdot 43$	3	3	0	$-1$	$-1$
431	Prime	1	1	0	$-1$	$-1$
432	$2^4\cdot 3^3$	7	2	5	$-1$	0
433	Prime	1	1	0	$-1$	$-1$
434	$2\cdot 7\cdot 31$	3	3	0	$-1$	$-1$
435	$3\cdot 5\cdot 29$	3	3	0	$-1$	$-1$
436	$2^2\cdot 109$	3	2	1	$-1$	0
437	$19\cdot 23$	2	2	0	1	1
438	$2\cdot 3\cdot 73$	3	3	0	$-1$	$-1$
439	Prime	1	1	0	$-1$	$-1$
440	$2^3\cdot 5\cdot 11$	5	3	2	$-1$	0
441	$3^2\cdot 7^2$	4	2	2	1	0
442	$2\cdot 13\cdot 17$	3	3	0	$-1$	$-1$
443	Prime	1	1	0	$-1$	$-1$
444	$2^2\cdot 3\cdot 37$	4	3	1	1	0
445	$5\cdot 89$	2	2	0	1	1
446	$2\cdot 223$	2	2	0	1	1
447	$3\cdot 149$	2	2	0	1	1
448	$2^6\cdot 7$	7	2	5	$-1$	0
449	Prime	1	1	0	$-1$	$-1$
450	$2\cdot 3^2\cdot 5^2$	5	3	2	$-1$	0
451	$11\cdot 41$	2	2	0	1	1
452	$2^2\cdot 113$	3	2	1	$-1$	0
453	$3\cdot 151$	2	2	0	1	1
454	$2\cdot 227$	2	2	0	1	1
455	$5\cdot 7\cdot 13$	3	3	0	$-1$	$-1$
456	$2^3\cdot 3\cdot 19$	5	3	2	$-1$	0
457	Prime	1	1	0	$-1$	$-1$
458	$2\cdot 229$	2	2	0	1	1
459	$3^3\cdot 17$	4	2	2	1	0
460	$2^2\cdot 5\cdot 23$	4	3	1	1	0
461	Prime	1	1	0	$-1$	$-1$
462	$2\cdot 3\cdot 7\cdot 11$	4	4	0	1	1
463	Prime	1	1	0	$-1$	$-1$
464	$2^4\cdot 29$	5	2	3	$-1$	0
465	$3\cdot 5\cdot 31$	3	3	0	$-1$	$-1$
466	$2\cdot 233$	2	2	0	1	1
467	Prime	1	1	0	$-1$	$-1$
468	$2^2\cdot 3^2\cdot 13$	5	3	2	$-1$	0
469	$7\cdot 67$	2	2	0	1	1
470	$2\cdot 5\cdot 47$	3	3	0	$-1$	$-1$
471	$3\cdot 157$	2	2	0	1	1
472	$2^3\cdot 59$	4	2	2	1	0
473	$11\cdot 43$	2	2	0	1	1
474	$2\cdot 3\cdot 79$	3	3	0	$-1$	$-1$
475	$5^2\cdot 19$	3	2	1	$-1$	0
476	$2^2\cdot 7\cdot 17$	4	3	1	1	0
477	$3^2\cdot 53$	3	2	1	$-1$	0
478	$2\cdot 239$	2	2	0	1	1
479	Prime	1	1	0	$-1$	$-1$
480	$2^5\cdot 3\cdot 5$	7	3	4	$-1$	0
481	$13\cdot 37$	2	2	0	1	1
482	$2\cdot 241$	2	2	0	1	1
483	$3\cdot 7\cdot 23$	3	3	0	$-1$	$-1$
484	$2^2\cdot {11}^2$	4	2	2	1	0
485	$5\cdot 97$	2	2	0	1	1
486	$2\cdot 3^5$	6	2	4	1	0
487	Prime	1	1	0	$-1$	$-1$
488	$2^3\cdot 61$	4	2	2	1	0
489	$3\cdot 163$	2	2	0	1	1
490	$2\cdot 5\cdot 7^2$	4	3	1	1	0
491	Prime	1	1	0	$-1$	$-1$
492	$2^2\cdot 3\cdot 41$	4	3	1	1	0
493	$17\cdot 29$	2	2	0	1	1
494	$2\cdot 13\cdot 19$	3	3	0	$-1$	$-1$
495	$3^2\cdot 5\cdot 11$	4	3	1	1	0
496	$2^4\cdot 31$	5	2	3	$-1$	0
497	$7\cdot 71$	2	2	0	1	1
498	$2\cdot 3\cdot 83$	3	3	0	$-1$	$-1$
499	Prime	1	1	0	$-1$	$-1$
500	$2^2\cdot 5^3$	5	2	3	$-1$	0
501	$3\cdot 167$	2	2	0	1	1
502	$2\cdot 251$	2	2	0	1	1
503	Prime	1	1	0	$-1$	$-1$
504	$2^3\cdot 3^2\cdot 7$	6	3	3	1	0
505	$5\cdot 101$	2	2	0	1	1
506	$2\cdot 11\cdot 23$	3	3	0	$-1$	$-1$
507	$3\cdot {13}^2$	3	2	1	$-1$	0
508	$2^2\cdot 127$	3	2	1	$-1$	0
509	Prime	1	1	0	$-1$	$-1$
510	$2\cdot 3\cdot 5\cdot 17$	4	4	0	1	1
511	$7\cdot 73$	2	2	0	1	1
512	$2^9$	9	1	8	$-1$	0
513	$3^3\cdot 19$	4	2	2	1	0
514	$2\cdot 257$	2	2	0	1	1
515	$5\cdot 103$	2	2	0	1	1
516	$2^2\cdot 3\cdot 43$	4	3	1	1	0
517	$11\cdot 47$	2	2	0	1	1
518	$2\cdot 7\cdot 37$	3	3	0	$-1$	$-1$
519	$3\cdot 173$	2	2	0	1	1
520	$2^3\cdot 5\cdot 13$	5	3	2	$-1$	0
521	Prime	1	1	0	$-1$	$-1$
522	$2\cdot 3^2\cdot 29$	4	3	1	1	0
523	Prime	1	1	0	$-1$	$-1$
524	$2^2\cdot 131$	3	2	1	$-1$	0
525	$3\cdot 5^2\cdot 7$	4	3	1	1	0
526	$2\cdot 263$	2	2	0	1	1
527	$17\cdot 31$	2	2	0	1	1
528	$2^4\cdot 3\cdot 11$	6	3	3	1	0
529	${23}^2$	2	1	1	1	0
530	$2\cdot 5\cdot 53$	3	3	0	$-1$	$-1$
531	$3^2\cdot 59$	3	2	1	$-1$	0
532	$2^2\cdot 7\cdot 19$	4	3	1	1	0
533	$13\cdot 41$	2	2	0	1	1
534	$2\cdot 3\cdot 89$	3	3	0	$-1$	$-1$
535	$5\cdot 107$	2	2	0	1	1
536	$2^3\cdot 67$	4	2	2	1	0
537	$3\cdot 179$	2	2	0	1	1
538	$2\cdot 269$	2	2	0	1	1
539	$7^2\cdot 11$	3	2	1	$-1$	0
540	$2^2\cdot 3^3\cdot 5$	6	3	3	1	0
541	Prime	1	1	0	$-1$	$-1$
542	$2\cdot 271$	2	2	0	1	1
543	$3\cdot 181$	2	2	0	1	1
544	$2^5\cdot 17$	6	2	4	1	0
545	$5\cdot 109$	2	2	0	1	1
546	$2\cdot 3\cdot 7\cdot 13$	4	4	0	1	1
547	Prime	1	1	0	$-1$	$-1$
548	$2^2\cdot 137$	3	2	1	$-1$	0
549	$3^2\cdot 61$	3	2	1	$-1$	0
550	$2\cdot 5^2\cdot 11$	4	3	1	1	0
551	$19\cdot 29$	2	2	0	1	1
552	$2^3\cdot 3\cdot 23$	5	3	2	$-1$	0
553	$7\cdot 79$	2	2	0	1	1
554	$2\cdot 277$	2	2	0	1	1
555	$3\cdot 5\cdot 37$	3	3	0	$-1$	$-1$
556	$2^2\cdot 139$	3	2	1	$-1$	0
557	Prime	1	1	0	$-1$	$-1$
558	$2\cdot 3^2\cdot 31$	4	3	1	1	0
559	$13\cdot 43$	2	2	0	1	1
560	$2^4\cdot 5\cdot 7$	6	3	3	1	0
561	$3\cdot 11\cdot 17$	3	3	0	$-1$	$-1$
562	$2\cdot 281$	2	2	0	1	1
563	Prime	1	1	0	$-1$	$-1$
564	$2^2\cdot 3\cdot 47$	4	3	1	1	0
565	$5\cdot 113$	2	2	0	1	1
566	$2\cdot 283$	2	2	0	1	1
567	$3^4\cdot 7$	5	2	3	$-1$	0
568	$2^3\cdot 71$	4	2	2	1	0
569	Prime	1	1	0	$-1$	$-1$
570	$2\cdot 3\cdot 5\cdot 19$	4	4	0	1	1
571	Prime	1	1	0	$-1$	$-1$
572	$2^2\cdot 11\cdot 13$	4	3	1	1	0
573	$3\cdot 191$	2	2	0	1	1
574	$2\cdot 7\cdot 41$	3	3	0	$-1$	$-1$
575	$5^2\cdot 23$	3	2	1	$-1$	0
576	$2^6\cdot 3^2$	8	2	6	1	0
577	Prime	1	1	0	$-1$	$-1$
578	$2\cdot {17}^2$	3	2	1	$-1$	0
579	$3\cdot 193$	2	2	0	1	1
580	$2^2\cdot 5\cdot 29$	4	3	1	1	0
581	$7\cdot 83$	2	2	0	1	1
582	$2\cdot 3\cdot 97$	3	3	0	$-1$	$-1$
583	$11\cdot 53$	2	2	0	1	1
584	$2^3\cdot 73$	4	2	2	1	0
585	$3^2\cdot 5\cdot 13$	4	3	1	1	0
586	$2\cdot 293$	2	2	0	1	1
587	Prime	1	1	0	$-1$	$-1$
588	$2^2\cdot 3\cdot 7^2$	5	3	2	$-1$	0
589	$19\cdot 31$	2	2	0	1	1
590	$2\cdot 5\cdot 59$	3	3	0	$-1$	$-1$
591	$3\cdot 197$	2	2	0	1	1
592	$2^4\cdot 37$	5	2	3	$-1$	0
593	Prime	1	1	0	$-1$	$-1$
594	$2\cdot 3^3\cdot 11$	5	3	2	$-1$	0
595	$5\cdot 7\cdot 17$	3	3	0	$-1$	$-1$
596	$2^2\cdot 149$	3	2	1	$-1$	0
597	$3\cdot 199$	2	2	0	1	1
598	$2\cdot 13\cdot 23$	3	3	0	$-1$	$-1$
599	Prime	1	1	0	$-1$	$-1$
600	$2^3\cdot 3\cdot 5^2$	6	3	3	1	0
601	Prime	1	1	0	$-1$	$-1$
602	$2\cdot 7\cdot 43$	3	3	0	$-1$	$-1$
603	$3^2\cdot 67$	3	2	1	$-1$	0
604	$2^2\cdot 151$	3	2	1	$-1$	0
605	$5\cdot {11}^2$	3	2	1	$-1$	0
606	$2\cdot 3\cdot 101$	3	3	0	$-1$	$-1$
607	Prime	1	1	0	$-1$	$-1$
608	$2^5\cdot 19$	6	2	4	1	0
609	$3\cdot 7\cdot 29$	3	3	0	$-1$	$-1$
610	$2\cdot 5\cdot 61$	3	3	0	$-1$	$-1$
611	$13\cdot 47$	2	2	0	1	1
612	$2^2\cdot 3^2\cdot 17$	5	3	2	$-1$	0
613	Prime	1	1	0	$-1$	$-1$
614	$2\cdot 307$	2	2	0	1	1
615	$3\cdot 5\cdot 41$	3	3	0	$-1$	$-1$
616	$2^3\cdot 7\cdot 11$	5	3	2	$-1$	0
617	Prime	1	1	0	$-1$	$-1$
618	$2\cdot 3\cdot 103$	3	3	0	$-1$	$-1$
619	Prime	1	1	0	$-1$	$-1$
620	$2^2\cdot 5\cdot 31$	4	3	1	1	0
621	$3^3\cdot 23$	4	2	2	1	0
622	$2\cdot 311$	2	2	0	1	1
623	$7\cdot 89$	2	2	0	1	1
624	$2^4\cdot 3\cdot 13$	6	3	3	1	0
625	$5^4$	4	1	3	1	0
626	$2\cdot 313$	2	2	0	1	1
627	$3\cdot 11\cdot 19$	3	3	0	$-1$	$-1$
628	$2^2\cdot 157$	3	2	1	$-1$	0
629	$17\cdot 37$	2	2	0	1	1
630	$2\cdot 3^2\cdot 5\cdot 7$	5	4	1	$-1$	0
631	Prime	1	1	0	$-1$	$-1$
632	$2^3\cdot 79$	4	2	2	1	0
633	$3\cdot 211$	2	2	0	1	1
634	$2\cdot 317$	2	2	0	1	1
635	$5\cdot 127$	2	2	0	1	1
636	$2^2\cdot 3\cdot 53$	4	3	1	1	0
637	$7^2\cdot 13$	3	2	1	$-1$	0
638	$2\cdot 11\cdot 29$	3	3	0	$-1$	$-1$
639	$3^2\cdot 71$	3	2	1	$-1$	0
640	$2^7\cdot 5$	8	2	6	1	0
641	Prime	1	1	0	$-1$	$-1$
642	$2\cdot 3\cdot 107$	3	3	0	$-1$	$-1$
643	Prime	1	1	0	$-1$	$-1$
644	$2^2\cdot 7\cdot 23$	4	3	1	1	0
645	$3\cdot 5\cdot 43$	3	3	0	$-1$	$-1$
646	$2\cdot 17\cdot 19$	3	3	0	$-1$	$-1$
647	Prime	1	1	0	$-1$	$-1$
648	$2^3\cdot 3^4$	7	2	5	$-1$	0
649	$11\cdot 59$	2	2	0	1	1
650	$2\cdot 5^2\cdot 13$	4	3	1	1	0
651	$3\cdot 7\cdot 31$	3	3	0	$-1$	$-1$
652	$2^2\cdot 163$	3	2	1	$-1$	0
653	Prime	1	1	0	$-1$	$-1$
654	$2\cdot 3\cdot 109$	3	3	0	$-1$	$-1$
655	$5\cdot 131$	2	2	0	1	1
656	$2^4\cdot 41$	5	2	3	$-1$	0
657	$3^2\cdot 73$	3	2	1	$-1$	0
658	$2\cdot 7\cdot 47$	3	3	0	$-1$	$-1$
659	Prime	1	1	0	$-1$	$-1$
660	$2^2\cdot 3\cdot 5\cdot 11$	5	4	1	$-1$	0
661	Prime	1	1	0	$-1$	$-1$
662	$2\cdot 331$	2	2	0	1	1
663	$3\cdot 13\cdot 17$	3	3	0	$-1$	$-1$
664	$2^3\cdot 83$	4	2	2	1	0
665	$5\cdot 7\cdot 19$	3	3	0	$-1$	$-1$
666	$2\cdot 3^2\cdot 37$	4	3	1	1	0
667	$23\cdot 29$	2	2	0	1	1
668	$2^2\cdot 167$	3	2	1	$-1$	0
669	$3\cdot 223$	2	2	0	1	1
670	$2\cdot 5\cdot 67$	3	3	0	$-1$	$-1$
671	$11\cdot 61$	2	2	0	1	1
672	$2^5\cdot 3\cdot 7$	7	3	4	$-1$	0
673	Prime	1	1	0	$-1$	$-1$
674	$2\cdot 337$	2	2	0	1	1
675	$3^3\cdot 5^2$	5	2	3	$-1$	0
676	$2^2\cdot {13}^2$	4	2	2	1	0
677	Prime	1	1	0	$-1$	$-1$
678	$2\cdot 3\cdot 113$	3	3	0	$-1$	$-1$
679	$7\cdot 97$	2	2	0	1	1
680	$2^3\cdot 5\cdot 17$	5	3	2	$-1$	0
681	$3\cdot 227$	2	2	0	1	1
682	$2\cdot 11\cdot 31$	3	3	0	$-1$	$-1$
683	Prime	1	1	0	$-1$	$-1$
684	$2^2\cdot 3^2\cdot 19$	5	3	2	$-1$	0
685	$5\cdot 137$	2	2	0	1	1
686	$2\cdot 7^3$	4	2	2	1	0
687	$3\cdot 229$	2	2	0	1	1
688	$2^4\cdot 43$	5	2	3	$-1$	0
689	$13\cdot 53$	2	2	0	1	1
690	$2\cdot 3\cdot 5\cdot 23$	4	4	0	1	1
691	Prime	1	1	0	$-1$	$-1$
692	$2^2\cdot 173$	3	2	1	$-1$	0
693	$3^2\cdot 7\cdot 11$	4	3	1	1	0
694	$2\cdot 347$	2	2	0	1	1
695	$5\cdot 139$	2	2	0	1	1
696	$2^3\cdot 3\cdot 29$	5	3	2	$-1$	0
697	$17\cdot 41$	2	2	0	1	1
698	$2\cdot 349$	2	2	0	1	1
699	$3\cdot 233$	2	2	0	1	1
700	$2^2\cdot 5^2\cdot 7$	5	3	2	$-1$	0
701	Prime	1	1	0	$-1$	$-1$
702	$2\cdot 3^3\cdot 13$	5	3	2	$-1$	0
703	$19\cdot 37$	2	2	0	1	1
704	$2^6\cdot 11$	7	2	5	$-1$	0
705	$3\cdot 5\cdot 47$	3	3	0	$-1$	$-1$
706	$2\cdot 353$	2	2	0	1	1
707	$7\cdot 101$	2	2	0	1	1
708	$2^2\cdot 3\cdot 59$	4	3	1	1	0
709	Prime	1	1	0	$-1$	$-1$
710	$2\cdot 5\cdot 71$	3	3	0	$-1$	$-1$
711	$3^2\cdot 79$	3	2	1	$-1$	0
712	$2^3\cdot 89$	4	2	2	1	0
713	$23\cdot 31$	2	2	0	1	1
714	$2\cdot 3\cdot 7\cdot 17$	4	4	0	1	1
715	$5\cdot 11\cdot 13$	3	3	0	$-1$	$-1$
716	$2^2\cdot 179$	3	2	1	$-1$	0
717	$3\cdot 239$	2	2	0	1	1
718	$2\cdot 359$	2	2	0	1	1
719	Prime	1	1	0	$-1$	$-1$
720	$2^4\cdot 3^2\cdot 5$	7	3	4	$-1$	0
721	$7\cdot 103$	2	2	0	1	1
722	$2\cdot {19}^2$	3	2	1	$-1$	0
723	$3\cdot 241$	2	2	0	1	1
724	$2^2\cdot 181$	3	2	1	$-1$	0
725	$5^2\cdot 29$	3	2	1	$-1$	0
726	$2\cdot 3\cdot {11}^2$	4	3	1	1	0
727	Prime	1	1	0	$-1$	$-1$
728	$2^3\cdot 7\cdot 13$	5	3	2	$-1$	0
729	$3^6$	6	1	5	1	0
730	$2\cdot 5\cdot 73$	3	3	0	$-1$	$-1$
731	$17\cdot 43$	2	2	0	1	1
732	$2^2\cdot 3\cdot 61$	4	3	1	1	0
733	Prime	1	1	0	$-1$	$-1$
734	$2\cdot 367$	2	2	0	1	1
735	$3\cdot 5\cdot 7^2$	4	3	1	1	0
736	$2^5\cdot 23$	6	2	4	1	0
737	$11\cdot 67$	2	2	0	1	1
738	$2\cdot 3^2\cdot 41$	4	3	1	1	0
739	Prime	1	1	0	$-1$	$-1$
740	$2^2\cdot 5\cdot 37$	4	3	1	1	0
741	$3\cdot 13\cdot 19$	3	3	0	$-1$	$-1$
742	$2\cdot 7\cdot 53$	3	3	0	$-1$	$-1$
743	Prime	1	1	0	$-1$	$-1$
744	$2^3\cdot 3\cdot 31$	5	3	2	$-1$	0
745	$5\cdot 149$	2	2	0	1	1
746	$2\cdot 373$	2	2	0	1	1
747	$3^2\cdot 83$	3	2	1	$-1$	0
748	$2^2\cdot 11\cdot 17$	4	3	1	1	0
749	$7\cdot 107$	2	2	0	1	1
750	$2\cdot 3\cdot 5^3$	5	3	2	$-1$	0
751	Prime	1	1	0	$-1$	$-1$
752	$2^4\cdot 47$	5	2	3	$-1$	0
753	$3\cdot 251$	2	2	0	1	1
754	$2\cdot 13\cdot 29$	3	3	0	$-1$	$-1$
755	$5\cdot 151$	2	2	0	1	1
756	$2^2\cdot 3^3\cdot 7$	6	3	3	1	0
757	Prime	1	1	0	$-1$	$-1$
758	$2\cdot 379$	2	2	0	1	1
759	$3\cdot 11\cdot 23$	3	3	0	$-1$	$-1$
760	$2^3\cdot 5\cdot 19$	5	3	2	$-1$	0
761	Prime	1	1	0	$-1$	$-1$
762	$2\cdot 3\cdot 127$	3	3	0	$-1$	$-1$
763	$7\cdot 109$	2	2	0	1	1
764	$2^2\cdot 191$	3	2	1	$-1$	0
765	$3^2\cdot 5\cdot 17$	4	3	1	1	0
766	$2\cdot 383$	2	2	0	1	1
767	$13\cdot 59$	2	2	0	1	1
768	$2^8\cdot 3$	9	2	7	$-1$	0
769	Prime	1	1	0	$-1$	$-1$
770	$2\cdot 5\cdot 7\cdot 11$	4	4	0	1	1
771	$3\cdot 257$	2	2	0	1	1
772	$2^2\cdot 193$	3	2	1	$-1$	0
773	Prime	1	1	0	$-1$	$-1$
774	$2\cdot 3^2\cdot 43$	4	3	1	1	0
775	$5^2\cdot 31$	3	2	1	$-1$	0
776	$2^3\cdot 97$	4	2	2	1	0
777	$3\cdot 7\cdot 37$	3	3	0	$-1$	$-1$
778	$2\cdot 389$	2	2	0	1	1
779	$19\cdot 41$	2	2	0	1	1
780	$2^2\cdot 3\cdot 5\cdot 13$	5	4	1	$-1$	0
781	$11\cdot 71$	2	2	0	1	1
782	$2\cdot 17\cdot 23$	3	3	0	$-1$	$-1$
783	$3^3\cdot 29$	4	2	2	1	0
784	$2^4\cdot 7^2$	6	2	4	1	0
785	$5\cdot 157$	2	2	0	1	1
786	$2\cdot 3\cdot 131$	3	3	0	$-1$	$-1$
787	Prime	1	1	0	$-1$	$-1$
788	$2^2\cdot 197$	3	2	1	$-1$	0
789	$3\cdot 263$	2	2	0	1	1
790	$2\cdot 5\cdot 79$	3	3	0	$-1$	$-1$
791	$7\cdot 113$	2	2	0	1	1
792	$2^3\cdot 3^2\cdot 11$	6	3	3	1	0
793	$13\cdot 61$	2	2	0	1	1
794	$2\cdot 397$	2	2	0	1	1
795	$3\cdot 5\cdot 53$	3	3	0	$-1$	$-1$
796	$2^2\cdot 199$	3	2	1	$-1$	0
797	Prime	1	1	0	$-1$	$-1$
798	$2\cdot 3\cdot 7\cdot 19$	4	4	0	1	1
799	$17\cdot 47$	2	2	0	1	1
800	$2^5\cdot 5^2$	7	2	5	$-1$	0
801	$3^2\cdot 89$	3	2	1	$-1$	0
802	$2\cdot 401$	2	2	0	1	1
803	$11\cdot 73$	2	2	0	1	1
804	$2^2\cdot 3\cdot 67$	4	3	1	1	0
805	$5\cdot 7\cdot 23$	3	3	0	$-1$	$-1$
806	$2\cdot 13\cdot 31$	3	3	0	$-1$	$-1$
807	$3\cdot 269$	2	2	0	1	1
808	$2^3\cdot 101$	4	2	2	1	0
809	Prime	1	1	0	$-1$	$-1$
810	$2\cdot 3^4\cdot 5$	6	3	3	1	0
811	Prime	1	1	0	$-1$	$-1$
812	$2^2\cdot 7\cdot 29$	4	3	1	1	0
813	$3\cdot 271$	2	2	0	1	1
814	$2\cdot 11\cdot 37$	3	3	0	$-1$	$-1$
815	$5\cdot 163$	2	2	0	1	1
816	$2^4\cdot 3\cdot 17$	6	3	3	1	0
817	$19\cdot 43$	2	2	0	1	1
818	$2\cdot 409$	2	2	0	1	1
819	$3^2\cdot 7\cdot 13$	4	3	1	1	0
820	$2^2\cdot 5\cdot 41$	4	3	1	1	0
821	Prime	1	1	0	$-1$	$-1$
822	$2\cdot 3\cdot 137$	3	3	0	$-1$	$-1$
823	Prime	1	1	0	$-1$	$-1$
824	$2^3\cdot 103$	4	2	2	1	0
825	$3\cdot 5^2\cdot 11$	4	3	1	1	0
826	$2\cdot 7\cdot 59$	3	3	0	$-1$	$-1$
827	Prime	1	1	0	$-1$	$-1$
828	$2^2\cdot 3^2\cdot 23$	5	3	2	$-1$	0
829	Prime	1	1	0	$-1$	$-1$
830	$2\cdot 5\cdot 83$	3	3	0	$-1$	$-1$
831	$3\cdot 277$	2	2	0	1	1
832	$2^6\cdot 13$	7	2	5	$-1$	0
833	$7^2\cdot 17$	3	2	1	$-1$	0
834	$2\cdot 3\cdot 139$	3	3	0	$-1$	$-1$
835	$5\cdot 167$	2	2	0	1	1
836	$2^2\cdot 11\cdot 19$	4	3	1	1	0
837	$3^3\cdot 31$	4	2	2	1	0
838	$2\cdot 419$	2	2	0	1	1
839	Prime	1	1	0	$-1$	$-1$
840	$2^3\cdot 3\cdot 5\cdot 7$	6	4	2	1	0
841	${29}^2$	2	1	1	1	0
842	$2\cdot 421$	2	2	0	1	1
843	$3\cdot 281$	2	2	0	1	1
844	$2^2\cdot 211$	3	2	1	$-1$	0
845	$5\cdot {13}^2$	3	2	1	$-1$	0
846	$2\cdot 3^2\cdot 47$	4	3	1	1	0
847	$7\cdot {11}^2$	3	2	1	$-1$	0
848	$2^4\cdot 53$	5	2	3	$-1$	0
849	$3\cdot 283$	2	2	0	1	1
850	$2\cdot 5^2\cdot 17$	4	3	1	1	0
851	$23\cdot 37$	2	2	0	1	1
852	$2^2\cdot 3\cdot 71$	4	3	1	1	0
853	Prime	1	1	0	$-1$	$-1$
854	$2\cdot 7\cdot 61$	3	3	0	$-1$	$-1$
855	$3^2\cdot 5\cdot 19$	4	3	1	1	0
856	$2^3\cdot 107$	4	2	2	1	0
857	Prime	1	1	0	$-1$	$-1$
858	$2\cdot 3\cdot 11\cdot 13$	4	4	0	1	1
859	Prime	1	1	0	$-1$	$-1$
860	$2^2\cdot 5\cdot 43$	4	3	1	1	0
861	$3\cdot 7\cdot 41$	3	3	0	$-1$	$-1$
862	$2\cdot 431$	2	2	0	1	1
863	Prime	1	1	0	$-1$	$-1$
864	$2^5\cdot 3^3$	8	2	6	1	0
865	$5\cdot 173$	2	2	0	1	1
866	$2\cdot 433$	2	2	0	1	1
867	$3\cdot {17}^2$	3	2	1	$-1$	0
868	$2^2\cdot 7\cdot 31$	4	3	1	1	0
869	$11\cdot 79$	2	2	0	1	1
870	$2\cdot 3\cdot 5\cdot 29$	4	4	0	1	1
871	$13\cdot 67$	2	2	0	1	1
872	$2^3\cdot 109$	4	2	2	1	0
873	$3^2\cdot 97$	3	2	1	$-1$	0
874	$2\cdot 19\cdot 23$	3	3	0	$-1$	$-1$
875	$5^3\cdot 7$	4	2	2	1	0
876	$2^2\cdot 3\cdot 73$	4	3	1	1	0
877	Prime	1	1	0	$-1$	$-1$
878	$2\cdot 439$	2	2	0	1	1
879	$3\cdot 293$	2	2	0	1	1
880	$2^4\cdot 5\cdot 11$	6	3	3	1	0
881	Prime	1	1	0	$-1$	$-1$
882	$2\cdot 3^2\cdot 7^2$	5	3	2	$-1$	0
883	Prime	1	1	0	$-1$	$-1$
884	$2^2\cdot 13\cdot 17$	4	3	1	1	0
885	$3\cdot 5\cdot 59$	3	3	0	$-1$	$-1$
886	$2\cdot 443$	2	2	0	1	1
887	Prime	1	1	0	$-1$	$-1$
888	$2^3\cdot 3\cdot 37$	5	3	2	$-1$	0
889	$7\cdot 127$	2	2	0	1	1
890	$2\cdot 5\cdot 89$	3	3	0	$-1$	$-1$
891	$3^4\cdot 11$	5	2	3	$-1$	0
892	$2^2\cdot 223$	3	2	1	$-1$	0
893	$19\cdot 47$	2	2	0	1	1
894	$2\cdot 3\cdot 149$	3	3	0	$-1$	$-1$
895	$5\cdot 179$	2	2	0	1	1
896	$2^7\cdot 7$	8	2	6	1	0
897	$3\cdot 13\cdot 23$	3	3	0	$-1$	$-1$
898	$2\cdot 449$	2	2	0	1	1
899	$29\cdot 31$	2	2	0	1	1
900	$2^2\cdot 3^2\cdot 5^2$	6	3	3	1	0
901	$17\cdot 53$	2	2	0	1	1
902	$2\cdot 11\cdot 41$	3	3	0	$-1$	$-1$
903	$3\cdot 7\cdot 43$	3	3	0	$-1$	$-1$
904	$2^3\cdot 113$	4	2	2	1	0
905	$5\cdot 181$	2	2	0	1	1
906	$2\cdot 3\cdot 151$	3	3	0	$-1$	$-1$
907	Prime	1	1	0	$-1$	$-1$
908	$2^2\cdot 227$	3	2	1	$-1$	0
909	$3^2\cdot 101$	3	2	1	$-1$	0
910	$2\cdot 5\cdot 7\cdot 13$	4	4	0	1	1
911	Prime	1	1	0	$-1$	$-1$
912	$2^4\cdot 3\cdot 19$	6	3	3	1	0
913	$11\cdot 83$	2	2	0	1	1
914	$2\cdot 457$	2	2	0	1	1
915	$3\cdot 5\cdot 61$	3	3	0	$-1$	$-1$
916	$2^2\cdot 229$	3	2	1	$-1$	0
917	$7\cdot 131$	2	2	0	1	1
918	$2\cdot 3^3\cdot 17$	5	3	2	$-1$	0
919	Prime	1	1	0	$-1$	$-1$
920	$2^3\cdot 5\cdot 23$	5	3	2	$-1$	0
921	$3\cdot 307$	2	2	0	1	1
922	$2\cdot 461$	2	2	0	1	1
923	$13\cdot 71$	2	2	0	1	1
924	$2^2\cdot 3\cdot 7\cdot 11$	5	4	1	$-1$	0
925	$5^2\cdot 37$	3	2	1	$-1$	0
926	$2\cdot 463$	2	2	0	1	1
927	$3^2\cdot 103$	3	2	1	$-1$	0
928	$2^5\cdot 29$	6	2	4	1	0
929	Prime	1	1	0	$-1$	$-1$
930	$2\cdot 3\cdot 5\cdot 31$	4	4	0	1	1
931	$7^2\cdot 19$	3	2	1	$-1$	0
932	$2^2\cdot 233$	3	2	1	$-1$	0
933	$3\cdot 311$	2	2	0	1	1
934	$2\cdot 467$	2	2	0	1	1
935	$5\cdot 11\cdot 17$	3	3	0	$-1$	$-1$
936	$2^3\cdot 3^2\cdot 13$	6	3	3	1	0
937	Prime	1	1	0	$-1$	$-1$
938	$2\cdot 7\cdot 67$	3	3	0	$-1$	$-1$
939	$3\cdot 313$	2	2	0	1	1
940	$2^2\cdot 5\cdot 47$	4	3	1	1	0
941	Prime	1	1	0	$-1$	$-1$
942	$2\cdot 3\cdot 157$	3	3	0	$-1$	$-1$
943	$23\cdot 41$	2	2	0	1	1
944	$2^4\cdot 59$	5	2	3	$-1$	0
945	$3^3\cdot 5\cdot 7$	5	3	2	$-1$	0
946	$2\cdot 11\cdot 43$	3	3	0	$-1$	$-1$
947	Prime	1	1	0	$-1$	$-1$
948	$2^2\cdot 3\cdot 79$	4	3	1	1	0
949	$13\cdot 73$	2	2	0	1	1
950	$2\cdot 5^2\cdot 19$	4	3	1	1	0
951	$3\cdot 317$	2	2	0	1	1
952	$2^3\cdot 7\cdot 17$	5	3	2	$-1$	0
953	Prime	1	1	0	$-1$	$-1$
954	$2\cdot 3^2\cdot 53$	4	3	1	1	0
955	$5\cdot 191$	2	2	0	1	1
956	$2^2\cdot 239$	3	2	1	$-1$	0
957	$3\cdot 11\cdot 29$	3	3	0	$-1$	$-1$
958	$2\cdot 479$	2	2	0	1	1
959	$7\cdot 137$	2	2	0	1	1
960	$2^6\cdot 3\cdot 5$	8	3	5	1	0
961	${31}^2$	2	1	1	1	0
962	$2\cdot 13\cdot 37$	3	3	0	$-1$	$-1$
963	$3^2\cdot 107$	3	2	1	$-1$	0
964	$2^2\cdot 241$	3	2	1	$-1$	0
965	$5\cdot 193$	2	2	0	1	1
966	$2\cdot 3\cdot 7\cdot 23$	4	4	0	1	1
967	Prime	1	1	0	$-1$	$-1$
968	$2^3\cdot {11}^2$	5	2	3	$-1$	0
969	$3\cdot 17\cdot 19$	3	3	0	$-1$	$-1$
970	$2\cdot 5\cdot 97$	3	3	0	$-1$	$-1$
971	Prime	1	1	0	$-1$	$-1$
972	$2^2\cdot 3^5$	7	2	5	$-1$	0
973	$7\cdot 139$	2	2	0	1	1
974	$2\cdot 487$	2	2	0	1	1
975	$3\cdot 5^2\cdot 13$	4	3	1	1	0
976	$2^4\cdot 61$	5	2	3	$-1$	0
977	Prime	1	1	0	$-1$	$-1$
978	$2\cdot 3\cdot 163$	3	3	0	$-1$	$-1$
979	$11\cdot 89$	2	2	0	1	1
980	$2^2\cdot 5\cdot 7^2$	5	3	2	$-1$	0
981	$3^2\cdot 109$	3	2	1	$-1$	0
982	$2\cdot 491$	2	2	0	1	1
983	Prime	1	1	0	$-1$	$-1$
984	$2^3\cdot 3\cdot 41$	5	3	2	$-1$	0
985	$5\cdot 197$	2	2	0	1	1
986	$2\cdot 17\cdot 29$	3	3	0	$-1$	$-1$
987	$3\cdot 7\cdot 47$	3	3	0	$-1$	$-1$
988	$2^2\cdot 13\cdot 19$	4	3	1	1	0
989	$23\cdot 43$	2	2	0	1	1
990	$2\cdot 3^2\cdot 5\cdot 11$	5	4	1	$-1$	0
991	Prime	1	1	0	$-1$	$-1$
992	$2^5\cdot 31$	6	2	4	1	0
993	$3\cdot 331$	2	2	0	1	1
994	$2\cdot 7\cdot 71$	3	3	0	$-1$	$-1$
995	$5\cdot 199$	2	2	0	1	1
996	$2^2\cdot 3\cdot 83$	4	3	1	1	0
997	Prime	1	1	0	$-1$	$-1$
998	$2\cdot 499$	2	2	0	1	1
999	$3^3\cdot 37$	4	2	2	1	0
1000	$2^3\cdot 5^3$	6	2	4	1	0

Title	table of integer factorizations for
Canonical name	TableOfIntegerFactorizationsFor0N1001
Date of creation	2013-03-22 17:54:58
Last modified on	2013-03-22 17:54:58
Owner	PrimeFan (13766)
Last modified by	PrimeFan (13766)
Numerical id	4
Author	PrimeFan (13766)
Entry type	Data Structure
Classification	msc 11A41