# This is the a279066.txt text file.
# A279066: Least prime q such that (q-p)/(r-q), with p<q<r being three consecutive primes, produces a new ratio <=1, arranged by Farey fractions A038566/A038567.
# In the first 1000 terms, 86 are missing terms represented by an entry of 0.
# Search limit: 116209419509.
# Dated 10 December 2016.


   1    1/1  5
   2    1/2  3
   3    1/3  31
   4    2/3  23
   5    1/4  8123
   6    3/4  89
   7    1/5  139
   8    2/5  7963
   9    3/5  337
  10    4/5  409
  11    1/6  199
  12    5/6  797
  13    1/7  45439
  14    2/7  113
  15    3/7  953
  16    4/7  88547
  17    5/7  293
  18    6/7  2633
  19    1/8  1933
  20    3/8  3643
  21    5/8  137029
  22    7/8  13381
  23    1/9  523
  24    2/9  2861
  25    4/9  1381
  26    5/9  1259
  27    7/9  7621
  28    8/9  7433
  29   1/10  156157
  30   3/10  3089
  31   7/10  546781
  32   9/10  30911
  33   1/11  1951
  34   2/11  294563
  35   3/11  1129
  36   4/11  3229
  37   5/11  285871
  38   6/11  10369
  39   7/11  14221
  40   8/11  3651341
  41   9/11  25819
  42  10/11  3967
  43   1/12  1669
  44   5/12  6173
  45   7/12  23473
  46  11/12  51383
  47   1/13  480209
  48   2/13  2477
  49   3/13  14897
  50   4/13  1428281
  51   5/13  20297
  52   6/13  26513
  53   7/13  2840549
  54   8/13  3137
  55   9/13  29501
  56  10/13  11931613
  57  11/13  56333
  58  12/13  121661
  59   1/14  2971
  60   3/14  5119
  61   5/14  1784053
  62   9/14  64969
  63  11/14  16613347
  64  13/14  119389
  65   1/15  7759
  66   2/15  5351
  67   4/15  4297
  68   7/15  4831
  69   8/15  27299
  70  11/15  42611
  71  13/15  109987
  72  14/15  99317
  73   1/16  2181737
  74   3/16  33647
  75   5/16  5591
  76   7/16  2674733
  77   9/16  47459
  78  11/16  84089
  79  13/16  54636251
  80  15/16  325379
  81   1/17  12163
  82   2/17  5837399
  83   3/17  1327
  84   4/17  59887
  85   5/17  12069517
  86   6/17  11743
  87   7/17  21433
  88   8/17  5209177
  89   9/17  17257
  90  10/17  78367
  91  11/17  39293077
  92  12/17  54217
  93  13/17  113683
  94  14/17  72510257
  95  15/17  37747
  96  16/17  286333
  97   1/18  28351
  98   5/18  65993
  99   7/18  90547
 100  11/18  91331
 101  13/18  40387
 102  17/18  317123
 103   1/19  6012899
 104   2/19  72173
 105   3/19  56999
 106   4/19  32358013
 107   5/19  39461
 108   6/19  45779
 109   7/19  28470499
 110   8/19  30593
 111   9/19  90749
 112  10/19  102626747
 113  11/19  110183
 114  12/19  191861
 115  13/19  148379059
 116  14/19  58271
 117  15/19  346793
 118  16/19  290018137
 119  17/19  272093
 120  18/19  832253
 121   1/20  20809
 122   3/20  45013
 123   7/20  19333
 124   9/20  48907
 125  11/20  213411787
 126  13/20  259867
 127  17/20  172005979
 128  19/20  570781
 129   1/21  16141
 130   2/21  52391
 131   4/21  105277
 132   5/21  39251
 133   8/21  61169
 134  10/21  126781
 135  11/21  126989
 136  13/21  245209
 137  16/21  388009
 138  17/21  311237
 139  19/21  545329
 140  20/21  38501
 141   1/22  3933599
 142   3/22  36389
 143   5/22  37907
 144   7/22  73286149
 145   9/22  245339
 146  13/22  116456399
 147  15/22  564827
 148  17/22  285377
 149  19/22  847428851
 150  21/22  232259
 151   1/23  163063
 152   2/23  3826019
 153   3/23  81463
 154   4/23  93001
 155   5/23  69514129
 156   6/23  101221
 157   7/23  91033
 158   8/23  236418899
 159   9/23  163927
 160  10/23  103723
 161  11/23  101768699
 162  12/23  184777
 163  13/23  366547
 164  14/23  310846553
 165  15/23  298513
 166  16/23  717751
 167  17/23  579025613
 168  18/23  395803
 169  19/23  973957
 170  20/23  1165527283
 171  21/23  1133731
 172  22/23  871393
 173   1/24  86629
 174   5/24  28229
 175   7/24  362473
 176  11/24  168803
 177  13/24  1460773
 178  17/24  220973
 179  19/24  1818871
 180  23/24  539993
 181   1/25  13626257
 182   2/25  69263
 183   3/25  45893
 184   4/25  58471841
 185   6/25  60539
 186   7/25  117567959
 187   8/25  31907
 188   9/25  95651
 189  11/25  537941
 190  12/25  220613
 191  13/25  862100137
 192  14/25  293021
 193  16/25  1097545549
 194  17/25  774377
 195  18/25  1809029
 196  19/25  806799241
 197  21/25  362801
 198  22/25  8232085373
 199  23/25  1385693
 200  24/25  206699
 201   1/26  25471
 202   3/26  19609
 203   5/26  101128721
 204   7/26  152311
 205   9/26  74959
 206  11/26  496084003
 207  15/26  794779
 208  17/26  1592250001
 209  19/26  1324261
 210  21/26  2702551
 211  23/26  5504875357
 212  25/26  2827159
 213   1/27  40639
 214   2/27  327347
 215   4/27  86869
 216   5/27  171947
 217   7/27  35617
 218   8/27  166487
 219  10/27  227893
 220  11/27  879743
 221  13/27  663463
 222  14/27  419087
 223  16/27  1437133
 224  17/27  462773
 225  19/27  2539699
 226  20/27  3479249
 227  22/27  1194103
 228  23/27  3638699
 229  25/27  829399
 230  26/27  824339
 231   1/28  60487759
 232   3/28  82073
 233   5/28  160253
 234   9/28  223151
 235  11/28  783953
 236  13/28  1626790541
 237  15/28  200513
 238  17/28  746597
 239  19/28  319478323
 240  23/28  2395973
 241  25/28  32592174133
 242  27/28  2592983
 243   1/29  79699
 244   2/29  130259693
 245   3/29  214993
 246   4/29  153001
 247   5/29  219750373
 248   6/29  44293
 249   7/29  420613
 250   8/29  788270117
 251   9/29  894811
 252  10/29  422479
 253  11/29  1780704307
 254  12/29  558343
 255  13/29  307759
 256  14/29  4002415253
 257  15/29  1787953
 258  16/29  650701
 259  17/29  2365715089
 260  18/29  1893643
 261  19/29  1286881
 262  20/29  4532639207
 263  21/29  58831
 264  22/29  302053
 265  23/29  12029638757
 266  24/29  3262081
 267  25/29  2701789
 268  26/29  8921771897
 269  27/29  413353
 270  28/29  5174119
 271   1/30  149629
 272   7/30  404713
 273  11/30  102701
 274  13/30  1347817
 275  17/30  1237661
 276  19/30  723661
 277  23/30  268343
 278  29/30  2901989
 279   1/31  217795247
 280   2/31  34061
 281   3/31  190409
 282   4/31  147684137
 283   5/31  295601
 284   6/31  1345361
 285   7/31  782808811
 286   8/31  1088309
 287   9/31  724331
 288  10/31  900370171
 289  11/31  1509779
 290  12/31  1281587
 291  13/31  1600674961
 292  14/31  1179047
 293  15/31  531731
 294  16/31  10030279757
 295  17/31  3112007
 296  18/31  3125387
 297  19/31  4334471833
 298  20/31  3783251
 299  21/31  1781981
 300  22/31  24574818223
 301  23/31  1683887
 302  24/31  6183761
 303  25/31  40113962921
 304  26/31  22607591
 305  27/31  4318337
 306  28/31  25116065731
 307  29/31  8129567
 308  30/31  6445319
 309   1/32  625699
 310   3/32  288583
 311   5/32  328066231
 312   7/32  821677
 313   9/32  2194069
 314  11/32  2071274857
 315  13/32  1481413
 316  15/32  1072039
 317  17/32  716868959
 318  19/32  2090989
 319  21/32  4867543
 320  23/32  14322581569
 321  25/32  3057163
 322  27/32  5936563
 323  29/32  0
 324  31/32  31753159
 325   1/33  552403
 326   2/33  787361
 327   4/33  273367
 328   5/33  221327
 329   7/33  259033
 330   8/33  714377
 331  10/33  646453
 332  13/33  834367
 333  14/33  390581
 334  16/33  694123
 335  17/33  3631073
 336  19/33  5490451
 337  20/33  736511
 338  23/33  430193
 339  25/33  3957571
 340  26/33  8811851
 341  28/33  7773673
 342  29/33  5627327
 343  31/33  6229723
 344  32/33  16236953
 345   1/34  240485257
 346   3/34  134513
 347   5/34  505979
 348   7/34  239065199
 349   9/34  828449
 350  11/34  2349569
 351  13/34  2508018319
 352  15/34  448451
 353  19/34  9275125003
 354  21/34  4023401
 355  23/34  7337153
 356  25/34  57411959567
 357  27/34  6118823
 358  29/34  8021471
 359  31/34  27811329899
 360  33/34  14099009
 361   1/35  173359
 362   2/35  229316459
 363   3/35  677239
 364   4/35  218287
 365   6/35  175141
 366   8/35  1745534291
 367   9/35  546391
 368  11/35  4625714239
 369  12/35  2177167
 370  13/35  1858459
 371  16/35  3078259
 372  17/35  3588162839
 373  18/35  3380317
 374  19/35  2197087
 375  22/35  4535017
 376  23/35  35337730921
 377  24/35  2927389
 378  26/35  36211775113
 379  27/35  2947027
 380  29/35  0
 381  31/35  13733311
 382  32/35  0
 383  33/35  6475387
 384  34/35  20741947
 385   1/36  360091
 386   5/36  705317
 387   7/36  633667
 388  11/36  2719811
 389  13/36  809629
 390  17/36  4634561
 391  19/36  828277
 392  23/36  8287607
 393  25/36  5645779
 394  29/36  4056287
 395  31/36  21325819
 396  35/36  12572837
 397   1/37  122164747
 398   2/37  621143
 399   3/37  619397
 400   4/37  2616696961
 401   5/37  1221299
 402   6/37  1283603
 403   7/37  1940105119
 404   8/37  742817
 405   9/37  514967
 406  10/37  4508794879
 407  11/37  791699
 408  12/37  531383
 409  13/37  302729201
 410  14/37  4633067
 411  15/37  6125489
 412  16/37  9761356177
 413  17/37  2516123
 414  18/37  959009
 415  19/37  38852636087
 416  20/37  404597
 417  21/37  9844403
 418  22/37  40254696961
 419  23/37  4880639
 420  24/37  10103147
 421  25/37  9374030527
 422  26/37  17226449
 423  27/37  2284757
 424  28/37  0
 425  29/37  15297707
 426  30/37  15486347
 427  31/37  0
 428  32/37  27497447
 429  33/37  8775863
 430  34/37  0
 431  35/37  14359967
 432  36/37  11064509
 433   1/38  716173
 434   3/38  873787
 435   5/38  931103003
 436   7/38  1361197
 437   9/38  212701
 438  11/38  6260095799
 439  13/38  1845637
 440  15/38  2736787
 441  17/38  2123055293
 442  21/38  10753201
 443  23/38  77184007009
 444  25/38  9380731
 445  27/38  3205141
 446  29/38  0
 447  31/38  16403671
 448  33/38  18501937
 449  35/38  0
 450  37/38  12067933
 451   1/39  281431
 452   2/39  520451
 453   4/39  188029
 454   5/39  794249
 455   7/39  1173631
 456   8/39  2152973
 457  10/39  1397359
 458  11/39  1613201
 459  14/39  642281
 460  16/39  5378299
 461  17/39  9160973
 462  19/39  4244221
 463  20/39  6602879
 464  22/39  28693663
 465  23/39  4743383
 466  25/39  12660013
 467  28/39  17141353
 468  29/39  14700221
 469  31/39  4165849
 470  32/39  27574913
 471  34/39  13182739
 472  35/39  3018803
 473  37/39  48538183
 474  38/39  53920469
 475   1/40  995151679
 476   3/40  1251329
 477   7/40  951847781
 478   9/40  1471937
 479  11/40  2622959
 480  13/40  21131162587
 481  17/40  1401857
 482  19/40  108137210651
 483  21/40  4051181
 484  23/40  6449537
 485  27/40  17574077
 486  29/40  12378917
 487  31/40  0
 488  33/40  14912633
 489  37/40  0
 490  39/40  23843297
 491   1/41  265621
 492   2/41  1032568013
 493   3/41  1232089
 494   4/41  535399
 495   5/41  4864992973
 496   6/41  2995891
 497   7/41  1121737
 498   8/41  555142061
 499   9/41  1392007
 500  10/41  1050631
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 502  12/41  3006037
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 506  16/41  3103981
 507  17/41  27755884231
 508  18/41  2094847
 509  19/41  1457551
 510  20/41  77520920263
 511  21/41  4053229
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 513  23/41  0
 514  24/41  12356551
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 518  28/41  28641649
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 520  30/41  14961217
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 524  34/41  22540237
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 531   1/42  637939
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 584  42/43  18713027
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 670  20/47  0
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