Discoverers of generalized Cullen primes

An attempt is made to provide the earliest known discovery date (and the discoverer) for  e a c h  of the generalized Cullen primes
n · bn + 1 known  (as of June 13, 2024)  for 3 ≤ n ≤ 100, as shown at this Cullen prime table. The following available sources have
been used for the purpose. Based on the same sources, the highest search limits known to have been reached by each researcher are recorded along with the
earliest known dates of their achievements.

Initial searchers: Harvey Dubner (1989), Wilfrid Keller (1998−2000), Günter Löh (1999−2014).

Compilation by Wilfrid Keller.


 Base            Values of n

   3    2, 8, 32, 54, 114, 414, 1400, 1850  Dubner 1989
        2848  Dubner 1989 (T5K Jan 1990)
        4874  Dubner 1989 (T5K Jan 1990)
        7268  Keller Oct 1998 (missed by Dubner), Chun Wa Lau (T5K Jan 2000)
        19290  Keller (T5K Nov 1998)
        337590  Predrag Minovic (T5K Jun 2006)
        1183414  Predrag Minovic (T5K Jan 2014)
        1308596  Mark Rodenkirch (T5K Jul 2023)
        2220172  Mark Rodenkirch (T5K Sep 2023)
        9145334  Ryan Propper (T5K Dec 2023)

           Dubner 1989: checked to 7781
           Keller 2000: checked to 48949
           Löh 2002: checked to 166817
           Predrag Minovic 2014: checked to 1200000
           Mark Rodenkirch 2023: checked to 3000000
           Ryan Propper 2023: checked to 5000000

   4    1, 3, 7, 33, 67, 223, 663, 912, 1383  Dubner 1989
        3777  Dubner 1989 (T5K Jan 1990)
        3972  Dubner 1989 (T5K Jan 1990)
        10669  Löh Dec 2000
        48375  Kazuyoshi Asao (T5K Jul 1999)
        1740349  Ryan Propper (T5K Jul 2023)

           Dubner 1989: checked to 6107 
           Keller 2000: checked to 10046 
           Löh 2002: checked to 108769 
           Steven Harvey 2011: checked to 250000 
           Mark Rodenkirch 2023: checked to 500000 
           Ryan Propper 2023: checked to 2000000 
 
   5    1242  Dubner 1989
        18390  Keller (T5K Nov 1998)

           Dubner 1989: checked to 6189
           Keller 2000: checked to 29357 
           Löh 2012: checked to 380283 
           Mark Rodenkirch 2023: checked to 500000 
           Ryan Propper 2023: checked to 2000000 

   6    1, 2, 91, 185, 387, 488, 747, 800  Dubner 1989
        9901  Keller (T5K Nov 1998)
        10115  Keller (T5K Nov 1998)
        12043  Keller (T5K Nov 1998)
        13118  Keller (T5K Nov 1998)
        30981  Löh (T5K Jan 2000)
        51496  Löh (T5K Jun 2000)
        515516  Ryan Propper Jul 2023
        1644731  Ryan Propper (T5K Jul 2023)
        2240501  Ryan Propper (T5K Jul 2023)
        4392300  Ryan Propper (T5K Sep 2023)
        4450871  Ryan Propper (T5K Sep 2023)
        4582770  Ryan Propper (T5K Dec 2023)

           Dubner 1989: checked to 4509
           Keller 2000: checked to 18549 
           Löh 2011: checked to 123669 
           Geoffrey Reynolds 2011: checked to 200000 
           Mark Rodenkirch 2023: checked to 500000 
           Ryan Propper 2023: checked to 2000000 

   7    34  Dubner 1989
        1980  Dubner 1989 (T5K Jan 1990)
        9898  Keller (T5K Nov 1998)
        474280  Mark Rodenkirch May 2023

           Dubner 1989: checked to 4415
           Keller 2000: checked to 27927 
           Löh 2005: checked to 255681 
           Mark Rodenkirch 2023: checked to 500000 
           Ryan Propper 2023: checked to 2000000 

   8    5, 17, 23  Dubner 1989
        1911  Dubner 1989 (T5K Jan 1990)
        20855  Jo Yeong Uk (T5K Dec 1999)
        35945  Jo Yeong Uk (T5K Dec 1999)
        42816  Kazuyoshi Asao (T5K Jul 1999)
        749130  Serge Batalov (T5K Jun 2013)

           Dubner 1989: checked to 4768
           Keller 2000: checked to 7629
           Löh 2004: checked to 106574 
           Steven Harvey 2014: checked to 166666 
           Serge Batalov 2018: checked to 800000

   9    2  Dubner 1989
        12382  Löh (T5K Jan 2000)
        27608  Löh (T5K Jan 2000)
        31330  Löh (T5K Feb 2000)
        117852  Löh (T5K Jan 2002)

           Dubner 1989: checked to 4895
           Keller 2000: checked to 8021 
           Löh 2010: checked to 222431 
           Mark Rodenkirch 2023: checked to 500000 

  10    1, 3, 9, 21, 363  Dubner 1989
        2161  Dubner 1989 (T5K Jan 1990)
        4839  Dubner 1989 (T5K Jan 1990)
        49521  Löh (T5K Aug 1999)
        105994  Löh (T5K Nov 2000)
        207777  Löh (T5K Feb 2010)

           Dubner 1989: checked to 5228
           Keller 2000: checked to 23490 
           Löh 2014: checked to 274178 
           Mark Rodenkirch 2023: checked to 500000 

  11    10  Dubner 1989

           Dubner 1989: checked to 3899
           Keller 2000: checked to 7829 
           Löh 2011: checked to 214215 
           Serge Batalov 2014: checked to 600000 

  12    1, 8, 247  Dubner 1989
        3610, 4775  Keller Feb 2000
        19789  Löh (T5K Jun 2000)
        187895  Löh (T5K Nov 2010)
        345951  Anonymous (YaoPlaysMC) Feb 2022

           Dubner 1989: checked to 3260
           Keller 2000: checked to 9410 
           Löh 2012: checked to 256588 

  13    None

           Dubner 1989: checked to 4577
           Keller 2000: checked to 16569 
           Löh 2004: checked to 159581
           Predrag Minovic 2014: checked to 252039 
           PrimeGrid 2024: checked to 5791000 

  14    3, 5, 6, 9, 33, 45, 243, 252  Dubner 1989
        1798  Dubner 1989 (T5K Jan 1990)
        2429  Keller Feb 2000
        5686  Steffen Polster (T5K Nov 1998)
        12509 Steffen Polster (T5K Nov 1998)
        42545  Löh (T5K Dec 2000)
        1198433  Ryan Propper (T5K May 2023)
        1486287  Ryan Propper (T5K May 2023)
        1909683  Ryan Propper (T5K May 2023)

           Dubner 1989: checked to 2228
           Keller 2000: checked to 4827 
           Löh 2012: checked to 246922 
           Ryan Propper 2023: checked to 2000000

  15    8, 14, 44, 154, 274, 694  Dubner 1989
        17426  Löh (T5K Jul 2000)
        59430  Löh (T5K Oct 2001)
        451554 Ryan Propper (T5K Apr 2023)
        551878 Ryan Propper (T5K Apr 2023)

           Dubner 1989: checked to 3124
           Keller 2000: checked to 10083 
           Löh 2011: checked to 136149 
           Mark Rodenkirch 2023: checked to 200000
           Ryan Propper 2023: checked to 1500000 

  16    1, 3, 55, 81, 223  Dubner 1989
        1227  Dubner 1989 (T5K Jan 1990)
        3012  Dubner 1989 (T5K Jan 1990)
        3301  Dubner 1989 (T5K Jan 1990)

           Dubner 1989: checked to 3444
           Keller 2000: checked to 6006 
           Löh 2004: checked to 75360 
           Steven Harvey 2014: checked to 125000 
           Mark Rodenkirch 2023: checked to 200000
           Ryan Propper 2023: checked to 1000000 

  17    19650  Löh (T5K Jan 2000)
        236418  Löh (T5K Dec 2012)
        811138  Ryan Propper (T5K May 2023)

           Dubner 1989: checked to 3195
           Keller 2000: checked to 15207 
           Löh 2014: checked to 304241 
           Ryan Propper 2023: checked to 1000000 

  18    1, 3, 21, 23  Dubner 1989
        842  Dubner 1989 (T5K Jan 1990)
        1683  Dubner 1989 (T5K Jan 1990)
        3401  Keller Feb 2000
        16839  Löh (T5K May 2000)
        49963  Löh (T5K Nov 2000)
        60239  Löh (T5K May 2002)
        150940  Ryan Propper May 2023
        155928  Ryan Propper May 2023
        219525  Ryan Propper May 2023
        342091  Ryan Propper May 2023
        353901  Ryan Propper May 2023
        612497  Ryan Propper (T5K May 2023)

           Dubner 1989: checked to 3054
           Keller 2000: checked to 4441 
           Löh 2014: checked to 218779 
           Ryan Propper 2023: checked to 1000000 

  19    6460  Keller (T5K Nov 1998)

           Dubner 1989: checked to 1851
           Keller 2000: checked to 8247 
           Löh 2013: checked to 306195 
           Ryan Propper 2023: checked to 1000000 

  20    3  Keller Dec 1999
        6207  Löh (T5K Jan 2000)
        8076  Löh (T5K Feb 2000)
        22356  Löh (T5K Jun 2000)
        151456  Löh (T5K Dec 2011)
        329994  Ryan Propper May 2023
        364595  Ryan Propper May 2023
        612497  Ryan Propper May 2023
        793181  Ryan Propper (T5K May 2023)
        993149  Ryan Propper (T5K May 2023)

           Keller 2000: checked to 5870 
           Löh 2014: checked to 244973 
           Ryan Propper 2023: checked to 1000000 

  21    2, 8, 26  Keller Jan 2000
        67100  Löh (T5K Jul 2003)

           Keller 2000: checked to 4685 
           Löh 2012: checked to 277711 

  22    1, 15, 189  Keller Jan 2000
        814  Keller Feb 2000
        19909  Löh (T5K May 2000)
        72207  Löh (T5K Dec 2005)

           Keller 2000: checked to 5093 
           Löh 2011: checked to 137649 
           Mark Rodenkirch 2023: checked to 200000

  23    4330  Keller (T5K Nov 1998)
        89350  Löh (T5K Apr 2003)

           Dubner 1989: checked to 921
           Keller 2000: checked to 5955 
           Löh 2010: checked to 177567 
           Mark Rodenkirch 2023: checked to 200000
           Richard Kapek 2023: checked to 400000

  24    2, 8, 368  Keller Jan 2000

           Keller 2000: checked to 3245 
           Löh 2012: checked to 134188 
           Mark Rodenkirch 2023: checked to 200000

  25    2805222  Tom Greer (T5K Sep 2019)

           Keller 2000: checked to 5595 
           Löh 2011: checked to 315153 
           PrimeGrid 2019: checked to 2809620

  26    117  Keller Jan 2000
        3143  Keller Feb 2000
        3886, 7763  Löh Dec 2000
        64020  Löh (T5K Oct 2003)
        88900  Löh (T5K Jun 2005)

           Keller 2000: checked to 3556
           Löh 2012: checked to 147626 
           Mark Rodenkirch 2023: checked to 200000

  27    2, 56  Keller Jan 2000
        23454  Löh (T5K Aug 2000)
        259738  Thomas Ritschel (T5K Dec 2011)
        312498  Thomas Ritschel (T5K Feb 2012)
        437960  Thomas Ritschel (T5K Nov 2012)

           Keller 2000: checked to 3481
           Löh 2010: checked to 215413 

  28    1, 48, 468  Keller Jan 2000
        2655, 3741  Keller Feb 2000
        49930  Löh  (T5K Dec 2001)

           Keller 2000: checked to 3957
           Löh 2013: checked to 224108 

  29    None

           Dubner 1989: checked to 2165
           Keller 2000: checked to 15045 
           Löh 2011: checked to 349419 
           PrimeGrid 2024: checked to 4411300

  30    1, 2, 3, 7, 14, 17, 39, 79, 87, 99, 128, 169, 221, 252, 307  Keller Jan 2000
        3646, 6115  Löh Feb 2000
        19617  Ray Ballinger (T5K Apr 2000)
        49718  Löh (T5K Dec 2001)
        107263  Mark Rodenkirch Apr 2023
        152520  Mark Rodenkirch Apr 2023
        154164  Mark Rodenkirch Apr 2023

           Keller 2000: checked to 3400 
           Löh 2010: checked to 101757 
           Mark Rodenkirch 2023: checked to 200000

  31    82960  Löh (T5K Apr 2002)

           Dubner 1989: checked to 1907
           Keller 2000: checked to 14879
           Löh 2010: checked to 174855 
           Mark Rodenkirch 2023: checked to 200000
           Richard Kapek 2023: checked to 400000

  32    5  Keller Dec 1999

           Keller 2000: checked to 5084
           Löh 2004: checked to 45790 
           Steven Harvey 2004: checked to 100000 
           Mark Rodenkirch 2023: checked to 200000

  33    2  Keller Jan 2000
        632, 1840  Keller Feb 2000
        91848  Löh (T5K Dec 2006)
        164196  Mark Rodenkirch Apr 2023

           Keller 2000: checked to 3567 
           Löh 2010: checked to 131715 
           Mark Rodenkirch 2023: checked to 200000

  34    25, 33, 103, 195, 303, 415  Keller Jan 2000

           Keller 2000: checked to 3594 
           Löh 2014: checked to 193428 
           Mark Rodenkirch 2023: checked to 200000

  35    304  Keller Jan 2000
        19116  Löh (T5K May 2000)

           Keller 2000: checked to 3711 
           Löh 2011: checked to 117225 
           Mark Rodenkirch 2023: checked to 200000

  36    1, 2, 3, 8, 191  Keller Jan 2000
        1256  Keller Feb 2000
        6788  Löh Dec 2000
        22195  Löh (T5K Jan 2001)
        23335  Löh (T5K Jan 2001)
        29481  Löh (T5K Jul 2001)
        191013  Serge Batalov (T5K Jul 2014)

           Keller 2000: checked to 3647 
           Löh 2010: checked to 90181 
           Mark Rodenkirch 2023: checked to 200000

  37    36  Dubner 1989

           Dubner 1989: checked to 1077
           Keller 2000: checked to 7257 
           Löh 2012: checked to 259437 

  38    3  Keller Jan 2000
        1209  Keller Feb 2000
        430157  Ryan Propper (T5K May 2023)
        884411  Ryan Propper (T5K May 2023)

           Keller 2000: checked to 4221 
           Löh 2010: checked to 141911 
           Mark Rodenkirch 2023: checked to 200000
           Ryan Propper 2023: checked to 1500000

  39    368, 402  Keller Jan 2000
        36592  Löh (T5K Oct 2001)

           Keller 2000: checked to 4837 
           Löh 2014: checked to 224467 

  40    1, 202  Keller Jan 2000
        74844  Lei Zhou (T5K Apr 2009)
        88195  Lei Zhou (T5K May 2009)

           Keller 2000: checked to 3477 
           Löh 2005: checked to 50675 
           Mark Rodenkirch 2023: checked to 200000

  41    1806676  Hiroyuki Okazaki (T5K Mar 2018)

           Dubner 1989: checked to 2871
           Keller 2000: checked to 11991 
           Löh 2004: checked to 67025 
           Predrag Minovic: checked to 100000
           PrimeGrid 2018: checked to 1810126

  42    1, 2, 11, 20  Keller Jan 2000
        8301  Löh Dec 2000
        14421  Löh (T5K Nov 2000)
        25849  Löh (T5K Jul 2001)
        37208  Löh (T5K Jan 2004)
        52296  Löh (T5K Jan 2006)

           Keller 2000: checked to 3607 
           Löh 2009: checked to 62691 
           Bryan Koen 2011: checked to 170000 
           Mark Rodenkirch 2023: checked to 200000

  43    390  Dubner 1989

           Dubner 1989: checked to 1409
           Keller 2000: checked to 5309 
           Löh 2010: checked to 158019 
           Mark Rodenkirch 2023: checked to 200000

  44    53  Keller Jan 2000

           Keller 2000: checked to 4168 
           Löh 2010: checked to 90664 
           Mark Rodenkirch 2023: checked to 200000

  45    2, 8, 84  Keller Jan 2000

           Keller 2000: checked to 3473 
           Löh 2010: checked to 120049 
           Mark Rodenkirch 2023: checked to 200000

  46    1  Keller Jan 2000
        813, 1576  Keller Feb 2000
        116016  Mark Rodenkirch May 2023
        129426  Mark Rodenkirch May 2023

           Keller 2000: checked to 4262 
           Löh 2010: checked to 89009 
           Mark Rodenkirch 2023: checked to 200000

  47    None

           Dubner 1989: checked to 2793
           Keller 2000: checked to 11217 
           Löh 2010: checked to 171707 
           PrimeGrid 2024: checked to 3858000

  48    3, 9, 14, 79, 114, 182  Keller Jan 2000
        9328  Löh Dec 2000
        13569  Löh (T5K Dec 2000)
        60261  Löh (T5K Dec 2006)
        111571  Mark Rodenkirch May 2023

           Keller 2000: checked to 2491 
           Löh 2010: checked to 93537 
           Mark Rodenkirch 2023: checked to 200000

  49    None

           Keller 2000: checked to 4529 
           Löh 2010: checked to 201927 
           PrimeGrid 2024: checked to 3816000

  50    9665  Löh (T5K Apr 2000)
        11844  Löh (T5K Jul 2000)
        92278  Löh (T5K Dec 2008)
        176961  Mark Rodenkirch May 2023

           Keller 2000: checked to 5823 
           Löh 2010: checked to 104798 
           Mark Rodenkirch 2023: checked to 200000

  51    62  Keller Jan 2000
        1376  Keller Feb 2000
        10108  Löh Dec 2001
        29726  Löh (T5K Apr 2002)
        65816  Löh Dec 2010
        136628  Löh (T5K Mar 2012)

           Keller 2000: checked to 2851 
           Löh 2014: checked to 229191 

  52    1, 168  Keller Jan 2000
        38559  Löh (T5K Dec 2004)
        195522  Mark Rodenkirch May 2023

           Keller 2000: checked to 2754 
           Löh 2011: checked to 158573 
           Mark Rodenkirch 2023: checked to 200000

  53    1341174  Hiroyuki Okazaki (T5K Aug 2017)

           Dubner 1989: checked to 1733
           Keller 2000: checked to 10911 
           Löh 2005: checked to 103895 
           PrimeGrid 2017: checked to 1360054	

  54    3, 8, 29  Keller Jan 2000
        11270  Löh (T5K Dec 2000)

           Keller 2000: checked to 2459 
           Löh 2011: checked to 75855 
           Mark Rodenkirch 2023: checked to 200000

  55    None

           Keller 2000: checked to 4451 
           Löh 2004: checked to 65583 
           Predrag Minovic 2004: checked to 100000
           PrimeGrid 2024: checked to 3706000

  56    1072  Jim Liddle (T5K Jan 2000)
        31265  Löh (T5K May 2002)

           Keller 2000: checked to 2666
           Löh 2011: checked to 125830 
           Mark Rodenkirch 2023: checked to 200000

  57    234, 470  Keller Jan 2000
        1670, 1898  Keller Feb 2000

           Keller 2000: checked to 2515
           Löh 2010: checked to 119337 
           Mark Rodenkirch 2023: checked to 200000

  58    1, 3, 34, 181, 252  Keller Jan 2000
        1135  Keller Jan 2000, Jim Liddle (T5K Jan 2000)
        2139  Keller Feb 2000
        4510  Löh Dec 2000

           Keller 2000: checked to 2442 
           Löh 2014: checked to 204399 

  59    220  Dubner 1989
        74460  Löh (T5K Jul 2006)

           Dubner 1989: checked to 1857
           Keller 2000: checked to 4265
           Löh 2010: checked to 149849 
           Mark Rodenkirch 2023: checked to 200000

  60    1, 9, 13, 113, 167, 202, 445  Keller Jan 2000
        518  Keller Feb 2000
        3522  Löh Dec 2000
        7423  Löh Dec 2000
        70615  Löh (T5K Feb 2008)
        127441  Ryan Propper May 2013
        231158  Ryan Propper May 2013
        326342  Ryan Propper May 2013

           Keller 2000: checked to 2434 
           Löh 2010: checked to 87580 
           Mark Rodenkirch 2023: checked to 100000
           Ryan Propper 2023: checked to 1500000

  61    142  Dubner 1989
        76710  Löh (T5K Jul 2008)

           Dubner 1989: checked to 1461
           Keller 2000: checked to 4101 
           Löh 2010: checked to 146157 
           Richard Kapek 2023: checked to 300000

  62    1295  Keller Feb 2000
        7107  Löh Dec 2000
        43379  Löh (T5K Apr 2006)

           Keller 2000: checked to 2894 
           Löh 2010: checked to 154473 
           Mark Rodenkirch 2023: checked to 200000

  63    8, 50  Keller Jan 2000
        54398  Löh (T5K Jan 2003)

           Keller 2000: checked to 2749
           Löh 2010: checked to 81489 
           Mark Rodenkirch 2023: checked to 200000

  64    3, 399  Keller Jan 2000
        7813  Jo Yeong Uk (T5K Mar 2000)
        14253  Jo Yeong Uk (T5K Mar 2000)

           Keller 2000: checked to 2500 
           Löh 2004: checked to 35234 
           Steven Harvey 2004: checked to 80000
           Mark Rodenkirch 2023: checked to 200000

  65    16990  Löh (T5K Apr 2000)

           Keller 2000: checked to 4245 
           Löh 2010: checked to 126417 
           Mark Rodenkirch 2023: checked to 200000

  66    1, 2, 158, 257  Keller Jan 2000
        1016  Jim Liddle (T5K Jan 2000)
        2543  Löh Dec 2000
        3396  Löh Dec 2000
        3801  Löh Dec 2000
        81778  Löh (T5K Nov 2007)

           Keller 2000: checked to 2467 
           Löh 2011: checked to 106152 
           Mark Rodenkirch 2023: checked to 200000

  67    474  Dubner 1989
        52932  Löh (T5K Mar 2005)

           Dubner 1989: checked to 1473
           Keller 2000: checked to 4133
           Löh 2011: checked to 171857 
           Mark Rodenkirch 2023: checked to 200000

  68    129897  Peter Kaiser (T5K May 2010)
        195875  Mark Rodenkirch May 2023 

           Keller 2000: checked to 3470
           Löh 2010: checked to 118162 
           PrimeGrid 2010: checked to 129897
           Mark Rodenkirch 2023: checked to 200000

  69    None

           Keller 2000: checked to 4201
           Löh 2004: checked to 68009 
           Predrag Minovic 2004: checked to 100100
           PrimeGrid 2024: checked to 3508000

  70    1, 3, 13  Keller Jan 2000
        5928  Löh Dec 2000
        10585  Löh (T5K Dec 2000)
        18157  Löh (T5K Jun 2001)
        20155  Löh (T5K Jun 2001)
        36534  Löh (T5K Jul 2001)
        87384  Mark Rodenkirch May 2023  

           Keller 2000: checked to 2382 
           Löh 2009: checked to 74775 
           Mark Rodenkirch 2023: checked to 200000

  71    13948  Löh (T5K Apr 2000)

           Dubner 1989: checked to 2667
           Keller 2000: checked to 8789
           Löh 2011: checked to 126795 
           Bryan Koen 2013: checked to 158622
           Mark Rodenkirch 2023: checked to 200000

  72    1, 2, 35, 119, 274, 607  Keller Jan 2000
        3185  Löh Dec 2000
        14360  Löh (T5K May 2001)
        25201  Löh (T5K Feb 2002)
        132339  Mark Rodenkirch Jun 2023

           Keller 2000: checked to 2432
           Löh 2010: checked to 96313 
           Mark Rodenkirch 2023: checked to 200000

  73    2525532  Tom Greer (T5K Aug 2021)

           Dubner 1989: checked to 1079
           Keller 2000: checked to 9053
           Löh 2010: checked to 157121 
           PrimeGrid 2021: checked to 2531554

  74    3, 15  Keller Jan 2000
        26770  Löh (T5K Jan 2002)

           Keller 2000: checked to 2259 
           Löh 2010: checked to 131086 
           Mark Rodenkirch 2023: checked to 200000

  75    2  Keller Dec 1999

           Keller 2000: checked to 4165
           Löh 2010: checked to 110363 
           Mark Rodenkirch 2023: checked to 200000

  76    1161  Keller Jan 2000, Jim Liddle (T5K Jan 2000)
        5401  Löh Dec 2000
        15516 Löh (T5K May 2001)

           Keller 2000: checked to 2402
           Löh 2010: checked to 106662 
           Mark Rodenkirch 2023: checked to 200000

  77    12198  Löh (T5K Apr 2000)

           Keller 2000: checked to 4713
           Löh 2010: checked to 131667 
           Mark Rodenkirch 2023: checked to 200000

  78    1, 25, 105, 254  Keller Jan 2000 
        10671  Löh (T5K Dec 2000)

           Keller 2000: checked to 2216 
           Löh 2010: checked to 58516 
           Mark Rodenkirch 2023: checked to 200000

  79    682156  Franz-Xaver Harvanek (T5K Oct 2016)

           Keller 2000: checked to 9191
           Löh 2010: checked to 149955 
           PrimeGrid 2016: checked to 692232

  80    5, 273  Keller Jan 2000
        3273  Löh Dec 2000
        23074  Löh (T5K Jan 2002)
        59871  Löh (T5K Dec 2006)

           Keller 2000: checked to 2206
           Löh 2010: checked to 99392 
           Mark Rodenkirch 2023: checked to 200000

  81    350  Keller Dec 1999
        73272  Löh (T5K May 2010)
        126042  Thomas Ritschel (T5K Nov 2011)
        178192  Thomas Ritschel (T5K Dec 2011)

           Keller 2000: checked to 4085
           Löh 2011: checked to 86965 
           Thomas Ritschel 2013: checked to 280000 

  82    1  Keller Jan 2000
        1407  Keller Feb 2000
        22515  Löh (T5K Jun 2001)
        177015  Mark Rodenkirch Jun 2023  

           Keller 2000: checked to 2184 
           Löh 2012: checked to 110750 
           Mark Rodenkirch 2023: checked to 200000

  83    1242  Keller Dec 1998

           Keller 2000: checked to 3899 
           Löh 2010: checked to 163911 
           Mark Rodenkirch 2023: checked to 200000

  84    26  Keller Jan 2000
        59215  Löh (T5K Apr 2008)
        128867  Mark Rodenkirch Jun 2023

           Keller 2000: checked to 2221 
           Löh 2009: checked to 70976 
           Mark Rodenkirch 2023: checked to 200000

  85    186  Keller Jan 2000
        1134  Keller Jan 2000, Jim Liddle (T5K Jan 2000)
        39496  Löh (T5K Jan 2004)

           Keller 2000: checked to 2333 
           Löh 2010: checked to 131529 
           Mark Rodenkirch 2023: checked to 200000

  86    3, 17, 45, 267  Keller Jan 2000 
        117172  Löh (T5K Nov 2011) 

           Keller 2000: checked to 2176 
           Löh 2013: checked to 160796 
           Mark Rodenkirch 2023: checked to 200000

  87    2, 118  Keller Jan 2000 
        34150  Löh (T5K Mar 2002)

           Keller 2000: checked to 2257 
           Löh 2012: checked to 224455 

  88    1, 411  Keller Jan 2000
        1191  Keller Jan 2000, Jim Liddle (T5K Jan 2000)

           Keller 2000: checked to 2459 
           Löh 2011: checked to 123155 
           Mark Rodenkirch 2023: checked to 200000

  89    298  Keller Dec 1999

           Keller 2000: checked to 4305 
           Löh 2014: checked to 282809 

  90    14  Keller Jan 2000 
        514, 587  Keller Feb 2000 
        27419  Löh (T5K Oct 2001)
        49527  Löh Dec 2009
        188701  Mark Rodenkirch Jul 2023

           Keller 2000: checked to 2115 
           Löh 2014: checked to 173892
           Mark Rodenkirch 2023: checked to 200000

  91    101670  Löh (T5K May 2005)

           Keller 2000: checked to 3951 
           Löh 2014: checked to 272459 

  92    9, 252  Keller Jan 2000 
        3900  Löh Dec 2000 
        9215  Löh (T5K Dec 2000)

           Keller 2000: checked to 2450 
           Löh 2014: checked to 202493 
           Mark Rodenkirch 2023: checked to 200000

  93    2  Keller Dec 1999
        3332  Keller (T5K Nov 1998) 
        5642  Löh Dec 2000
        183500  Löh (T5K Oct 2012) 

           Keller 2000: checked to 3913 
           Löh 2014: checked to 227757

  94    775, 1207, 3277  Keller Feb 2000 
        11169  Löh (T5K Dec 2000) 
        114903  Mark Rodenkirch Jul 2023

           Keller 2000: checked to 3294 
           Löh 2010: checked to 108252 
           Mark Rodenkirch 2023: checked to 200000

  95    202, 370  Keller Jan 2000 
        18258  Löh (T5K Jun 2001) 

           Keller 2000: checked to 2243
           Löh 2010: checked to 121773 
           Mark Rodenkirch 2023: checked to 200000

  96    1, 2, 3, 8  Keller Jan 2000 
        16350  Löh (T5K Apr 2001)
        43895  Löh (T5K Jul 2006)
        143717  Löh (T5K Apr 2009)

           Keller 2000: checked to 2217 
           Löh 2011: checked to 167204 
           Mark Rodenkirch 2023: checked to 200000

  97    1374  Keller Dec 1998

           Keller 2000: checked to 3633 
           Löh 2010: checked to 138893 
           Mark Rodenkirch 2023: checked to 200000

  98    63  Keller Jan 2000 
        622  Keller Jan 2000, Jim Liddle Jan 2000
        1125  Keller Jan 2000, Jim Liddle (T5K Jan 2000) 
        4517  Löh Dec 2000
        25830  Löh (T5K Apr 2002)
        174885  Löh (T5K Aug 2012)

           Keller 2000: checked to 2117 
           Löh 2013: checked to 209756 

  99    2, 332  Keller Jan 2000 
        21868  Löh (T5K Nov 2001)
        26982  Löh (T5K Apr 2002)
        31328  Löh (T5K Jul 2003)
        138846  Löh (T5K Jun 2010)

           Keller 2000: checked to 2155
           Löh 2012: checked to 185309 
           Mark Rodenkirch 2023: checked to 200000

 100    1, 427  Löh Feb 2000
        2475  Löh Feb 2000, Ray Ballinger (T5K Feb 2000)
        21369  Löh (T5K Feb 2002)
        72048  Löh (T5K May 2005)
        98035  Löh (T5K Feb 2007)
        316903  Serge Batalov (T5K Jul 2014)

           Löh 2012: checked to 165295