## Primes near to Compositorial (product of composite numbers)

(December 14, 2008)

### Primes near to Compositorial (product of composite numbers), n=1, ... , 538

```"Compositorial #Cn" is the product of all composite numbers from 1 to n.
For example,

#C1 = 4
#C2 = 4 * 6
#C3 = 4 * 6 * 8
#C4 = 4 * 6 * 8 * 9
...

#Cn = n!/#Pk where k is the largest number such that Pk < n.

n |  Cn |    -a,   b
----+-----+------------
1 |   4 |    -1,   1
2 |   6 |    -1,   5
3 |   8 |    -1,   1
4 |   9 |    -5,   5
5 |  10 |   -23,  11
6 |  12 |   -17,   7
7 |  14 |   -13,   1
8 |  15 |   -11,  11
9 |  16 |    -1,  29
10 |  18 |   -23,  17
11 |  20 |   -53,   1
12 |  21 |    -1,  47
13 |  22 |   -17,  17
14 |  24 |   -17,  37
15 |  25 |   -19,  79
16 |  26 |   -31,   1
17 |  27 |  -137,  31
18 |  28 |   -23, 397
19 |  30 |   -37,  47
20 |  32 |   -79,  53
21 |  33 |  -107, 127
22 |  34 |    -1,   1
23 |  35 |   -97,  53
24 |  36 |  -151,  67
25 |  38 |   -23,  41
26 |  39 |    -1,  23
27 |  40 |   -41,  23
28 |  42 |   -53,  41
29 |  44 |   -23, 113
30 |  45 |    -1, 107
31 |  46 |   -73,  31
32 |  48 |   -41,  79
33 |  49 |   -47, 157
34 |  50 |    -1,  61
35 |  51 |  -239, 353
36 |  52 |   -53, 157
37 |  54 |  -347, 601
38 |  55 |   -53,  31
39 |  56 |   -29,   1
40 |  57 |   -59,  29
41 |  58 |  -331, 409
42 |  60 |  -229,  31
43 |  62 |   -79, 181
44 |  63 |   -37,  41
45 |  64 |  -101,  39
46 |  65 |   -89,  47
47 |  66 |  -113, 151
48 |  68 |  -137,  47
49 |  69 |  -113,  47
50 |  70 |  -433, 109
51 |  72 |    -1, 199
52 |  74 |  -997,  47
53 |  75 |   -83, 233
54 |  76 |    -1, 617
55 |  77 |   -47,  61
56 |  78 |  -163, 191
57 |  80 |  -179,  61
58 |  81 |   -43, 281
59 |  82 |  -191, 131
60 |  84 |  -107, 157
61 |  85 |  -109, 181
62 |  86 |  -401, 173
63 |  87 |  -157,  97
64 |  88 |   -59,  61
65 |  90 |  -277,  83
66 |  91 |  -641, 317
67 |  92 |  -167, 409
68 |  93 |   -67,  83
69 |  94 |  -227, 107
70 |  95 |  -139, 307
71 |  96 | -1249, 103
72 |  98 |   -97, 199
73 |  99 |  -137, 701
74 | 100 |  -331, 547
75 | 102 |   -73, 179
76 | 104 |  -439,   1
77 | 105 |  -107, 241
78 | 106 |  -347, 269
79 | 108 |  -881, 389
80 | 110 |  -241,  89
81 | 111 |  -127,  71
82 | 112 | -1201, 317
83 | 114 |  -881, 337
84 | 115 |  -373, 269
85 | 116 |  -331, 233
86 | 117 |  -433, 233
87 | 118 |  -113, 457
88 | 119 |  -239, 397
89 | 120 |  -317, 199
90 | 121 |  -661,  97
91 | 122 |  -409, 107
92 | 123 |   -83, 239
93 | 124 | -1213, 179
94 | 125 |  -283,  67
95 | 126 |   -97, 181
96 | 128 |  -149, 139
97 | 129 |  -797, 163
98 | 130 |  -439, 331
99 | 132 | -1283, 101
----+-----+--------------
n |  Cn |    -a,    b
----+-----+--------------
100 | 133 |    -1,   73
101 | 134 |  -179,  103
102 | 135 |  -109,  157
103 | 136 |  -193,  307
104 | 138 |  -223,  173
105 | 140 |  -241,  229
106 | 141 |  -223,  313
107 | 142 |  -103,  151
108 | 143 |  -103,  101
109 | 144 |  -883,   97
110 | 145 |  -563,  797
111 | 146 |  -239,   97
112 | 147 |  -277,  137
113 | 148 |  -541, 1259
114 | 150 |  -853, 1289
115 | 152 |  -389,  313
116 | 153 |  -463,    1
117 | 154 | -2081,   97
118 | 155 |  -113,  193
119 | 156 |  -379,  619
120 | 158 | -1381, 1231
121 | 159 |  -617,  349
122 | 160 |  -257,  211
123 | 161 |  -193,  109
124 | 162 |  -571,  131
125 | 164 |    -1,  577
126 | 165 | -1789,  317
127 | 166 |  -251,  223
128 | 168 |  -269,  131
129 | 169 |  -977, 1193
130 | 170 |  -229,  373
131 | 171 |  -193,  349
132 | 172 |  -271,  683
133 | 174 |  -601,  127
134 | 175 |  -547,  379
135 | 176 |  -787,  181
136 | 177 | -1231,  401
137 | 178 |  -113,  139
138 | 180 |  -113,  241
139 | 182 |  -409,    1
140 | 183 |  -137,  353
141 | 184 |  -683,  449
142 | 185 |  -281, 1579
143 | 186 |  -251,  151
144 | 187 | -3301,  191
145 | 188 |  -157,  151
146 | 189 |   -97,  181
147 | 190 |  -191,  191
148 | 192 |  -877,  101
149 | 194 |  -151,    1
150 | 195 |  -673,  157
151 | 196 |  -211, 1039
152 | 198 |  -193, 1367
153 | 200 |  -457, 1237
154 | 201 |  -347, 2297
155 | 202 |    -1,  569
156 | 203 |  -431, 1217
157 | 204 |  -359,  443
158 | 205 |  -157,  571
159 | 206 |  -227, 2099
160 | 207 |  -251, 1979
161 | 208 |  -433,  953
162 | 209 |  -127, 2389
163 | 210 |  -347, 1153
164 | 212 |  -541,  157
165 | 213 |  -137, 2297
166 | 214 | -1723,  197
167 | 215 |  -937,  509
168 | 216 |    -1,  113
169 | 217 |  -379,    1
170 | 218 | -1627,  809
171 | 219 | -1327, 2063
172 | 220 |  -571,  149
173 | 221 |    -1,  163
174 | 222 |  -461,  241
175 | 224 |  -137,  127
176 | 225 |  -241,  139
177 | 226 |  -719, 1187
178 | 228 |  -397,  479
179 | 230 |  -613,    1
180 | 231 | -1637,  181
181 | 232 |  -257,  149
182 | 234 |  -797,  409
183 | 235 |  -311,  967
184 | 236 | -1093,  443
185 | 237 | -1733,  593
186 | 238 |  -419,  181
187 | 240 |  -463,  487
188 | 242 | -1481, 1069
189 | 243 |  -523,  229
190 | 244 |  -503,  503
191 | 245 |  -467, 1103
192 | 246 |  -277, 2521
193 | 247 | -1429, 1879
194 | 248 |  -577,  947
195 | 249 | -2713,  227
196 | 250 |  -223, 1093
197 | 252 | -2153,  877
198 | 253 |  -307, 7703
199 | 254 |  -431, 1123
----+-----+--------------
n |  Cn |    -a,    b
----+-----+--------------
200 | 255 |  -743, 1663
201 | 256 |  -631,  571
202 | 258 |  -601,  647
203 | 259 |  -367, 5147
204 | 260 |  -587, 1279
205 | 261 |  -691,  191
206 | 262 |  -229, 1151
207 | 264 |  -197,  137
208 | 265 | -1303,  613
209 | 266 | -2789,  331
210 | 267 |  -431,  173
211 | 268 |  -877,  809
212 | 270 |  -223,  199
213 | 272 |  -463, 1669
214 | 273 |  -137, 2281
215 | 274 |  -191, 2671
216 | 275 |  -967,  499
217 | 276 | -1109,  823
218 | 278 |  -197,  631
219 | 279 |  -457,  887
220 | 280 |    -1,    1
221 | 282 |  -599,  191
222 | 284 |  -347,  769
223 | 285 | -2083, 1123
224 | 286 | -1559, 1321
225 | 287 |  -463,  709
226 | 288 |  -263, 3923
227 | 289 |  -239,  317
228 | 290 | -1381,  227
229 | 291 |  -337,  601
230 | 292 |  -157,  151
231 | 294 | -1049, 2287
232 | 295 |  -619,  487
233 | 296 | -1697,  937
234 | 297 |  -883,  823
235 | 298 | -1489, 2399
236 | 299 | -1117, 1801
237 | 300 |  -809,  443
238 | 301 |  -431,  653
239 | 302 | -1553,  521
240 | 303 |  -449, 3019
241 | 304 |  -191, 1733
242 | 305 |  -599, 1303
243 | 306 |  -691, 1321
244 | 308 |  -233,  409
245 | 309 |  -283,  397
246 | 310 |  -223,  197
247 | 312 |  -547,  163
248 | 314 |  -331,  211
249 | 315 | -2777,  659
250 | 316 | -2237,  337
251 | 318 | -1009,  523
252 | 319 |  -787,  761
253 | 320 |  -673,  587
254 | 321 |  -349,  991
255 | 322 | -1327,  433
256 | 323 |  -199,  409
257 | 324 |  -991,  541
258 | 325 |  -479,  359
259 | 326 | -2621,  283
260 | 327 | -3581,  227
261 | 328 |  -367, 1319
262 | 329 |  -241,  937
263 | 330 |  -227,  467
264 | 332 | -1567, 1051
265 | 333 |  -941, 1433
266 | 334 |  -269,  787
267 | 335 |  -281,  421
268 | 336 |  -971,  659
269 | 338 | -3089, 1091
270 | 339 | -1117, 1319
271 | 340 |  -401,  353
272 | 341 |  -487, 1213
273 | 342 |  -971,  223
274 | 343 | -2131,  659
275 | 344 | -1877, 1571
276 | 345 |  -811,  673
277 | 346 |  -719,  673
278 | 348 |  -277,  877
279 | 350 | -1993, 3313
280 | 351 | -1117, 1013
281 | 352 | -1993,  487
282 | 354 |  -269, 1129
283 | 355 | -2293, 1709
284 | 356 |  -853, 1579
285 | 357 |  -367, 1597
286 | 358 |  -757,  743
287 | 360 | -2803, 1013
288 | 361 | -1291, 1049
289 | 362 |  -587, 4111
290 | 363 | -1259, 2683
291 | 364 |  -619, 4013
292 | 365 | -1667, 1433
293 | 366 | -7517,  313
294 | 368 | -2473, 1061
295 | 369 | -6311,  283
296 | 370 |  -569,  463
297 | 371 | -1069,  907
298 | 372 | -2213,  673
299 | 374 |  -263, 1823
----+-----+--------------
n |  Cn |     -a,    b
----+-----+--------------
300 | 375 |   -823, 1493
301 | 376 |   -983, 4177
302 | 377 |  -1319,  263
303 | 378 |   -919,  857
304 | 380 |   -359,  997
305 | 381 |   -269, 3251
306 | 382 |   -317,  677
307 | 384 |   -409,  509
308 | 385 |   -769, 1367
309 | 386 |   -877,  503
310 | 387 |  -1753,  523
311 | 388 |  -3251, 1021
312 | 390 |  -1049, 2099
313 | 391 |   -971, 1217
314 | 392 |   -281, 2129
315 | 393 |  -3163, 3313
316 | 394 |   -263,  857
317 | 395 |   -787,  563
318 | 396 |  -2111,  401
319 | 398 |  -3019,  719
320 | 399 |   -317,  431
321 | 400 |   -419,  383
322 | 402 |  -1483, 2459
323 | 403 |   -337,  919
324 | 404 |   -953, 2927
325 | 405 |  -1103, 1019
326 | 406 |   -739, 1049
327 | 407 |   -463, 1789
328 | 408 |   -883,  761
329 | 410 |  -2591, 1993
330 | 411 |   -647,  997
331 | 412 |   -359,  673
332 | 413 |  -3517,  691
333 | 414 |   -883, 2063
334 | 415 |  -1531,  227
335 | 416 |  -2383,  367
336 | 417 |   -739, 1913
337 | 418 |   -263, 4871
338 | 420 |  -2381, 2543
339 | 422 |   -673,  983
340 | 423 |   -827,  953
341 | 424 |   -691,  947
342 | 425 |  -1033, 1709
343 | 426 |  -2861, 3821
344 | 427 |   -811,  727
345 | 428 |  -2729,  661
346 | 429 |  -2843,  433
347 | 430 |   -383, 4493
348 | 432 |  -1459, 2063
349 | 434 |  -1789,  257
350 | 435 |  -8677,  449
351 | 436 |   -853, 1451
352 | 437 |  -1613, 2693
353 | 438 |   -349,  227
354 | 440 |  -2141, 3499
355 | 441 |  -1381, 1307
356 | 442 |  -5387, 4441
357 | 444 |  -1709, 1531
358 | 445 |  -2971, 2143
359 | 446 |  -1613, 2069
360 | 447 |  -3539,  353
361 | 448 |  -1031,  683
362 | 450 |   -827,  353
363 | 451 |   -317,  373
364 | 452 |  -3407, 7039
365 | 453 |  -2621,  541
366 | 454 |  -2389,  971
367 | 455 |   -419,  431
368 | 456 |  -1741,  523
369 | 458 |  -1733,  941
370 | 459 |   -283, 1907
371 | 460 |  -2063, 1303
372 | 462 |   -541,    1
373 | 464 |   -859, 1021
374 | 465 |   -499,  929
375 | 466 |   -839,  487
376 | 468 |   -701, 1321
377 | 469 |  -1301, 1789
378 | 470 |   -317, 6353
379 | 471 |   -619,  907
380 | 472 |   -977,  487
381 | 473 |  -1217,  499
382 | 474 |   -509,  557
383 | 475 |  -1693,  379
384 | 476 |  -1373,  881
385 | 477 |  -4241,  239
386 | 478 |  -3433, 5059
387 | 480 |   -457, 1879
388 | 481 | -12277,  641
389 | 482 |   -809,  479
390 | 483 |   -673,  347
391 | 484 |   -379,  367
392 | 485 |   -967, 1433
393 | 486 |   -263, 2089
394 | 488 |  -2797,  523
395 | 489 |  -1657, 1583
396 | 490 |  -1399, 1759
397 | 492 |   -461, 1237
398 | 493 |  -1559, 1033
399 | 494 |   -521,  821
----+-----+---------------
n |  Cn |     -a,     b
----+-----+---------------
400 | 495 |  -6719,  2003
401 | 496 |     -1,   317
402 | 497 |  -2503,  9439
403 | 498 |   -709,  1553
404 | 500 |  -1171,  1201
405 | 501 |   -379,  1511
406 | 502 |  -2269,   883
407 | 504 |  -6551,   443
408 | 505 |   -709,   491
409 | 506 |  -1327,  3907
410 | 507 |   -271,  1433
411 | 508 |   -709,   647
412 | 510 |  -1231,  3257
413 | 511 |  -2339,   433
414 | 512 |   -389,   991
415 | 513 |   -337,  1733
416 | 514 |  -6379,  3529
417 | 515 |   -587,   607
418 | 516 |  -3719,  7487
419 | 517 |   -541,  2053
420 | 518 |   -557,  2099
421 | 519 |  -1439,   631
422 | 520 |  -2437,  4657
423 | 522 |   -431,   827
424 | 524 |   -797,  1039
425 | 525 |  -1283,  3169
426 | 526 |   -293,   683
427 | 527 |   -727,  3631
428 | 528 |  -5437,  3581
429 | 529 |  -1301,     1
430 | 530 |  -1777,  2963
431 | 531 |   -727,   673
432 | 532 |  -5399,   353
433 | 533 |   -607,   271
434 | 534 |   -367,  1013
435 | 535 |  -2657,  3779
436 | 536 |   -359,   541
437 | 537 |  -1997,  3919
438 | 538 |   -499,   797
439 | 539 |   -883,  7103
440 | 540 |  -2819,  1559
441 | 542 |   -619,  1327
442 | 543 |  -7717,  1051
443 | 544 |  -1951,  1201
444 | 545 |   -593,  1481
445 | 546 |  -4357,  3347
446 | 548 |   -701,   773
447 | 549 |  -5167,   307
448 | 550 |   -281,   643
449 | 551 |   -311,   673
450 | 552 |  -4057,  3617
451 | 553 |  -2143,   379
452 | 554 |  -2917,  2089
453 | 555 |   -853,  2393
454 | 556 |   -701,  1663
455 | 558 |   -919,  4259
456 | 559 |  -4783,  4211
457 | 560 |  -5653,   823
458 | 561 |   -661,  1877
459 | 562 |   -599,  4177
460 | 564 |  -8761,  1091
461 | 565 |  -1009,  4523
462 | 566 |  -3389,  3539
463 | 567 |   -431,  3767
464 | 568 |  -1663,  3491
465 | 570 |  -7213,  1297
466 | 572 |  -2521,   467
467 | 573 |  -3863,   911
468 | 574 |   -479,  4139
469 | 575 |  -1747,  1009
470 | 576 |  -1871,  3011
471 | 578 |  -1213,   349
472 | 579 |  -1009,  4157
473 | 580 |  -1601,   479
474 | 581 |  -5387,   383
475 | 582 |  -1429,   467
476 | 583 |  -2357,  3221
477 | 584 |  -2861,   419
478 | 585 |  -2591, 18583
479 | 586 |   -827,  2797
480 | 588 |  -2843,  2011
481 | 589 |   -887,   619
482 | 590 |  -1021,  2087
483 | 591 |  -4139,  2311
484 | 592 |  -1009,  3169
485 | 594 |   -373,  2153
486 | 595 |  -1733,  9181
487 | 596 |  -9439,   883
488 | 597 |  -2141,   839
489 | 598 |  -1013,  1093
490 | 600 |  -6803,   859
491 | 602 |  -2543,  1423
492 | 603 |  -1627,   347
493 | 604 |   -337,  2777
494 | 605 |     -1,   677
495 | 606 |  -1451,  1789
496 | 608 |  -5197,  1451
497 | 609 |  -3343,  3221
498 | 610 |   -971,  9103
499 | 611 |  -2381,   761
----+-----+---------------
n |  Cn |     -a,     b
----+-----+---------------
500 | 612 |   -373,  1579
501 | 614 |  -4297,   367
502 | 615 |  -4129,  2131
503 | 616 |  -1153,   727
504 | 618 |  -6131,  4547
505 | 620 |   -839,   797
506 | 621 |  -6269,  3793
507 | 622 |   -389,  1321
508 | 623 |   -631,  2521
509 | 624 |  -1609,  4283
510 | 625 |  -1259,  6529
511 | 626 |   -859,  1663
512 | 627 |  -2113, 15797
513 | 628 |  -4159,  3181
514 | 629 |   -947,   641
515 | 630 |   -487,  3803
516 | 632 |   -617,   401
517 | 633 |  -1987,  3109
518 | 634 |   -709,  1361
519 | 635 |  -3037,  3853
520 | 636 |  -9421,   877
521 | 637 |  -2237,   431
522 | 638 |  -2693,  1693
523 | 639 |  -2683,  1163
524 | 640 |   -719,  8629
525 | 642 |   -541, 10883
526 | 644 |   -773,   661
527 | 645 |  -3779,  3617
528 | 646 |   -349,   347
529 | 648 |  -3049,  1289
530 | 649 |  -1459,   491
531 | 650 |  -1093,  4421
532 | 651 |  -3533,  1747
533 | 652 |   -947,  6317
534 | 654 |  -6833,   971
535 | 655 |   -349,   829
536 | 656 |   -709,  4397
537 | 657 |  -1471,   677
538 | 658 |   -631,   491
----+-----+---------------
```

E-mail : kc2h-msm@asahi-net.or.jp
Hisanori Mishima