Primes near to #Pn (form #Pn - a, #Pn + b)

(December 12, 2008)

Primes near to #Pn (form #Pn - a, #Pn + b) for n=1, ... , 437

  n |prime|    -a,    b
----+-----+-------------
  2 |   3 |    -1,    1
  3 |   5 |    -1,    1
  4 |   7 |   -11,    1
  5 |  11 |    -1,    1
  6 |  13 |    -1,   17
  7 |  17 |   -29,   19
  8 |  19 |   -23,   23
  9 |  23 |   -43,   37
 10 |  29 |   -41,   61
 11 |  31 |   -73,    1
 12 |  37 |   -59,   61
 13 |  41 |    -1,   71
 14 |  43 |   -89,   47
 15 |  47 |   -67,  107
 16 |  53 |   -73,   59
 17 |  59 |  -107,   61
 18 |  61 |   -89,  109
 19 |  67 |  -101,   89
 20 |  71 |  -127,  103
 21 |  73 |   -97,   79
 22 |  79 |   -83,  151
 23 |  83 |   -89,  197
 24 |  89 |    -1,  101
 25 |  97 |  -251,  103
 26 | 101 |  -131,  233
 27 | 103 |  -113,  223
 28 | 107 |  -151,  127
 29 | 109 |  -263,  223
 30 | 113 |  -251,  191
 31 | 127 |  -223,  163
 32 | 131 |  -179,  229
 33 | 137 |  -389,  643
 34 | 139 |  -281,  239
 35 | 149 |  -151,  157
 36 | 151 |  -197,  167
 37 | 157 |  -173,  439
 38 | 163 |  -239,  239
 39 | 167 |  -233,  199
 40 | 173 |  -191,  191
 41 | 179 |  -223,  199
 42 | 181 |  -223,  383
 43 | 191 |  -293,  233
 44 | 193 |  -593,  751
 45 | 197 |  -293,  313
 46 | 199 |  -457,  773
 47 | 211 |  -227,  607
 48 | 223 |  -311,  313
 49 | 227 |  -373,  383
 50 | 229 |  -257,  293
 51 | 233 |  -307,  443
 52 | 239 |  -313,  331
 53 | 241 |  -607,  283
 54 | 251 |  -347,  277
 55 | 257 |  -317,  271
 56 | 263 |  -307,  401
 57 | 269 |  -677,  307
 58 | 271 |  -467,  331
 59 | 277 |  -317,  379
 60 | 281 |  -431,  491
 61 | 283 |  -479,  331
 62 | 293 |  -509,  311
 63 | 307 |  -601,  397
 64 | 311 |  -331,  331
 65 | 313 |  -379,  353
 66 | 317 |    -1,  419
 67 | 331 |  -449,  421
 68 | 337 |    -1,  883
 69 | 347 | -1163,  547
 70 | 349 |  -449, 1381
 71 | 353 |  -443,  457
 72 | 359 |  -499,  457
 73 | 367 |  -373,  373
 74 | 373 |  -467,  421
 75 | 379 |  -619,    1
 76 | 383 |  -599, 1061
 77 | 389 |  -691,  523
 78 | 397 |  -443,  499
 79 | 401 |  -449,  619
 80 | 409 | -1123,  727
 81 | 419 |  -439,  457
 82 | 421 |  -677,  509
 83 | 431 |  -433,  439
 84 | 433 |  -599,  911
 85 | 439 |  -881,  461
 86 | 443 |  -593,  823
 87 | 449 |  -661,  613
 88 | 457 | -1583,  617
 89 | 461 | -1021, 1021
 90 | 463 |  -521,  523
 91 | 467 |  -677,  941
 92 | 479 |  -509,  653
 93 | 487 |  -863,  601
 94 | 491 |  -677,  877
 95 | 499 |  -587,  607
 96 | 503 |  -659,  631
 97 | 509 |  -541,  733
 98 | 521 |  -619,  757
 99 | 523 |  -773,  877
----+------+-------------
  n | prime|    -a,    b
----+------+-------------
100 |  541 | -1013,  641
101 |  547 |  -919,  877
102 |  557 |  -683, 1423
103 |  563 |  -691,  929
104 |  569 |  -859,  839
105 |  571 |  -613,  641
106 |  577 |  -631,  839
107 |  587 | -1307,  971
108 |  593 |  -701,  859
109 |  599 | -2221, 1019
110 |  601 |  -641,  643
111 |  607 |  -797,  733
112 |  613 |  -769,  743
113 |  617 | -1187,  653
114 |  619 |  -991, 1031
115 |  631 | -1109, 1069
116 |  641 | -2153,  983
117 |  643 |  -967,  653
118 |  647 | -1223,  769
119 |  653 | -1181,  691
120 |  659 |  -991, 1213
121 |  661 | -1409,  991
122 |  673 |  -709, 1091
123 |  677 |  -911, 2087
124 |  683 | -1583,  733
125 |  691 | -1361, 1307
126 |  701 |  -773, 1481
127 |  709 |  -811,  883
128 |  719 | -1237, 1123
129 |  727 |  -773, 1523
130 |  733 |  -937, 1109
131 |  739 | -1123, 1171
132 |  743 | -1697,  769
133 |  751 |  -859, 1801
134 |  757 | -1097, 1031
135 |  761 |  -773, 1597
136 |  769 |  -911,  829
137 |  773 |  -937, 1201
138 |  787 |  -907, 1453
139 |  797 |  -991,  937
140 |  809 | -1223, 1091
141 |  811 | -1009, 1031
142 |  821 | -1597,  857
143 |  823 | -1873, 1187
144 |  827 |  -839,  863
145 |  829 | -1553,  937
146 |  839 | -1907, 1163
147 |  853 |  -857,  919
148 |  857 | -1031,  911
149 |  859 | -2011, 1187
150 |  863 | -1409, 1153
151 |  877 |  -883, 1069
152 |  881 | -1123,  947
153 |  883 | -1303, 1439
154 |  887 | -1973, 1753
155 |  907 |  -971, 1231
156 |  911 | -1093, 1223
157 |  919 | -1429, 1013
158 |  929 | -3307, 1237
159 |  937 | -1693, 1153
160 |  941 |  -983, 1489
161 |  947 | -1427, 1321
162 |  953 | -1571, 1181
163 |  967 | -3697, 1987
164 |  971 | -1163, 1697
165 |  977 | -1061, 2243
166 |  983 | -1093, 1867
167 |  991 |    -1, 1193
168 |  997 | -1447, 1097
169 | 1009 | -2767, 1289
170 | 1013 | -1663, 1999
171 | 1019 | -3391,    1
172 | 1021 | -1697,    1
173 | 1031 | -1663, 1453
174 | 1033 | -1747, 2131
175 | 1039 | -1601, 1231
176 | 1049 | -1933, 1163
177 | 1051 | -2273, 1063
178 | 1061 | -1151, 1163
179 | 1063 | -1283, 1453
180 | 1069 | -1789, 2357
181 | 1087 | -1489, 3559
182 | 1091 | -1367, 1429
183 | 1093 | -2179, 2689
184 | 1097 | -1747, 1597
185 | 1103 | -1999, 1381
186 | 1109 | -1361, 3089
187 | 1117 | -1201, 1669
188 | 1123 | -1783, 2099
189 | 1129 | -1303, 1831
190 | 1151 | -1697, 1327
191 | 1153 | -1171, 1867
192 | 1163 | -2251, 1759
193 | 1171 | -1217, 2351
194 | 1181 | -1667, 2287
195 | 1187 | -1237, 1607
196 | 1193 | -1987, 1429
197 | 1201 | -1307, 2239
198 | 1213 | -1399, 2381
199 | 1217 | -1699, 2011
----+------+-------------
  n | prime|    -a,    b
----+------+-------------
200 | 1223 | -2273, 1619
201 | 1229 | -2131, 1663
202 | 1231 | -1607, 2731
203 | 1237 | -1993, 2213
204 | 1249 | -3931, 1627
205 | 1259 | -1889, 2269
206 | 1277 | -2099, 1429
207 | 1279 | -1609, 3739
208 | 1283 | -1913, 1493
209 | 1289 | -1459, 2647
210 | 1291 | -3169, 1747
211 | 1297 | -1669, 1409
212 | 1301 | -2473, 1321
213 | 1303 | -2357, 1319
214 | 1307 | -1847, 3499
215 | 1319 | -6043, 2311
216 | 1321 | -1693, 3041
217 | 1327 | -2089, 1993
218 | 1361 | -1801, 1721
219 | 1367 | -1697, 3023
220 | 1373 | -1879, 2239
221 | 1381 | -2371, 1483
222 | 1399 | -2377, 1439
223 | 1409 | -3121, 2087
224 | 1423 | -1637, 1669
225 | 1427 | -1439, 1613
226 | 1429 | -2557, 1483
227 | 1433 | -2309, 1759
228 | 1439 | -1511, 1913
229 | 1447 | -1777, 2381
230 | 1451 | -2351, 1877
231 | 1453 | -1877, 1657
232 | 1459 | -2053, 2251
233 | 1471 | -2053, 1619
234 | 1481 | -2927, 1669
235 | 1483 | -1933, 5323
236 | 1487 | -1511, 1511
237 | 1489 | -2161, 1709
238 | 1493 | -2137, 1523
239 | 1499 | -2741, 2273
240 | 1511 | -1597, 2347
241 | 1523 | -1583, 2083
242 | 1531 | -1607, 2339
243 | 1543 | -1619, 1637
244 | 1549 | -1667, 1709
245 | 1553 | -1801, 1787
246 | 1559 | -1823, 1787
247 | 1567 | -3547, 1999
248 | 1571 | -2659, 2017
249 | 1579 | -2011, 5689
250 | 1583 | -4591, 1913
251 | 1597 | -1607, 1999
252 | 1601 | -1753, 2087
253 | 1607 | -2237, 1973
254 | 1609 | -3307, 4421
255 | 1613 | -2579, 1741
256 | 1619 | -4211, 1723
257 | 1621 | -2417, 3299
258 | 1627 | -2897, 1693
259 | 1637 | -1669, 1997
260 | 1657 | -2689, 1931
261 | 1663 | -2153, 1933
262 | 1667 | -3593, 3253
263 | 1669 | -2243, 3449
264 | 1693 | -2143, 1721
265 | 1697 | -2393, 2267
266 | 1699 | -1733, 3359
267 | 1709 | -2521, 2699
268 | 1721 | -2437, 3413
269 | 1723 | -2011, 3067
270 | 1733 | -4649, 2503
271 | 1741 | -2939, 1759
272 | 1747 | -2029, 1871
273 | 1753 | -2053, 2707
274 | 1759 | -2269, 3079
275 | 1777 | -3691, 3547
276 | 1783 | -2791, 1879
277 | 1787 | -2029, 2309
278 | 1789 | -2371, 3637
279 | 1801 | -3581, 4799
280 | 1811 | -1847, 2087
281 | 1823 | -3319, 1889
282 | 1831 | -2011, 2671
283 | 1847 | -1933, 2309
284 | 1861 | -2087, 2393
285 | 1867 | -2341, 2297
286 | 1871 | -2269, 2143
287 | 1873 |    -1, 3187
288 | 1877 | -3779, 6271
289 | 1879 | -3499, 2411
290 | 1889 | -1979, 2089
291 | 1901 | -2297, 2441
292 | 1907 | -2131, 2099
293 | 1913 | -2069, 2473
294 | 1931 | -2441, 4649
295 | 1933 | -2833, 2239
296 | 1949 | -6841, 2557
297 | 1951 | -3607, 1987
298 | 1973 | -2467, 5231
299 | 1979 | -2377, 2971
----+------+-------------
  n | prime|    -a,    b
----+------+-------------
300 | 1987 | -4231, 5641
301 | 1993 | -2389, 2251
302 | 1997 | -2657, 2389
303 | 1999 | -6869, 2017
304 | 2003 | -2237, 2081
305 | 2011 | -2609, 3803
306 | 2017 | -4783, 3019
307 | 2027 | -2531, 2411
308 | 2029 | -2293, 3319
309 | 2039 | -3187, 2243
310 | 2053 |    -1, 7187
311 | 2063 | -3511, 2621
312 | 2069 | -2213, 2683
313 | 2081 | -6553, 4831
314 | 2083 | -4591, 2861
315 | 2087 | -2777, 2837
316 | 2089 | -4201, 2243
317 | 2099 | -6133, 3373
318 | 2111 | -4271, 3167
319 | 2113 | -5653, 4201
320 | 2129 | -2659, 5021
321 | 2131 | -2797, 3391
322 | 2137 | -4019, 3343
323 | 2141 | -5231, 3347
324 | 2143 | -3529, 3037
325 | 2153 | -2711, 3373
326 | 2161 | -2293, 2239
327 | 2179 | -3257, 6301
328 | 2203 | -6197, 4457
329 | 2207 | -2347, 3061
330 | 2213 | -4271, 2969
331 | 2221 | -3023, 2861
332 | 2237 | -3257, 2677
333 | 2239 | -3469, 5023
334 | 2243 | -4229, 3461
335 | 2251 | -3919, 3767
336 | 2267 | -3529, 2381
337 | 2269 | -2671, 3559
338 | 2273 | -2963, 2549
339 | 2281 | -2579, 2837
340 | 2287 | -2447, 5647
341 | 2293 | -4253, 4597
342 | 2297 | -2347, 3779
343 | 2309 | -2851, 2671
344 | 2311 | -3583, 3067
345 | 2333 | -3467, 2689
346 | 2339 | -8269, 3049
347 | 2341 | -7253, 3833
348 | 2347 | -3659, 2833
349 | 2351 | -2803, 4729
350 | 2357 | -4153, 3313
351 | 2371 | -6547, 2837
352 | 2377 |    -1, 2837
353 | 2381 | -5501, 4363
354 | 2383 | -3109, 4493
355 | 2389 | -4019, 2851
356 | 2393 | -2957, 2609
357 | 2399 | -3833, 2543
358 | 2411 | -2837, 3469
359 | 2417 | -3259, 3803
360 | 2423 | -3583, 5009
361 | 2437 | -3701, 3931
362 | 2441 | -5693, 3331
363 | 2447 | -3989, 2861
364 | 2459 | -3583, 3931
365 | 2467 | -2591, 2609
366 | 2473 | -2797, 2719
367 | 2477 | -2647, 2677
368 | 2503 | -3833, 4933
369 | 2521 | -3517, 2633
370 | 2531 | -5557, 3947
371 | 2539 | -3631, 3467
372 | 2543 | -6833, 2909
373 | 2549 | -2801, 2731
374 | 2551 | -2837, 2939
375 | 2557 | -6779, 2677
376 | 2579 | -2657, 3163
377 | 2591 | -3001, 7309
378 | 2593 | -2777, 5087
379 | 2609 | -5903, 3793
380 | 2617 | -3319, 2657
381 | 2621 | -3671, 4153
382 | 2633 | -7043, 3767
383 | 2647 | -3677, 2789
384 | 2657 | -6661,    1
385 | 2659 | -2699, 3919
386 | 2663 | -3793, 4903
387 | 2671 | -2969, 3853
388 | 2677 | -5701, 4993
389 | 2683 | -2837, 4217
390 | 2687 | -6311, 6197
391 | 2689 | -7213, 2843
392 | 2693 | -3853, 5227
393 | 2699 | -7331, 2729
394 | 2707 | -4111, 2953
395 | 2711 | -4481, 3547
396 | 2713 | -2953, 8713
397 | 2719 | -3203, 3119
398 | 2729 | -3361, 3067
399 | 2731 | -8807, 4019
----+------+---------------
  n | prime|     -a,     b
----+------+---------------
400 | 2741 |  -8707,  5051
401 | 2749 |  -6221,  3089
402 | 2753 |  -3413,  3347
403 | 2767 |  -3461,  3659
404 | 2777 |  -3049,  5693
405 | 2789 |  -5393,  3089
406 | 2791 |  -3407,  3343
407 | 2797 |  -3929,  6029
408 | 2801 |  -4519,  2909
409 | 2803 |  -3539,  3889
410 | 2819 |  -2887,  3433
411 | 2833 |  -6761,  4547
412 | 2837 |  -3559,  3467
413 | 2843 |  -4759, 11069
414 | 2851 |  -7793,  5003
415 | 2857 |  -6073,  3343
416 | 2861 |  -6763,  4339
417 | 2879 |  -5209,  9241
418 | 2887 |  -5737,  6007
419 | 2897 |  -6367,  3083
420 | 2903 |  -4021,  4957
421 | 2909 |  -4931,  3041
422 | 2917 |  -3557,  9643
423 | 2927 |  -4091,  4127
424 | 2939 |  -6043, 10009
425 | 2953 |  -4423,  3209
426 | 2957 | -10789,  9067
427 | 2963 |  -4157,  3257
428 | 2969 |  -4337,  6337
429 | 2971 |  -3677,  3271
430 | 2999 |  -3109,  4231
431 | 3001 |  -3709,  4691
432 | 3011 |  -6491,  3331
433 | 3019 |  -6199,  5413
434 | 3023 |  -3739,  3121
435 | 3037 |  -4007,  3089
436 | 3041 |  -4357,  3727
437 | 3049 |  -4957,  5443
----+------+---------------

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Hisanori Mishima