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Generalized Cullen primes   n bn + 1

b   Values of   n
3   2, 8, 32, 54, 114, 414, 1400, 1850, 2848, 4874, 7268, 19290  [320015] *
4   1, 3, 7, 33, 67, 223, 663, 912, 1383, 3777, 3972, 10669, 48375  [250000] +
5   1242, 18390  [169557]
6   1, 2, 91, 185, 387, 488, 747, 800, 9901, 10115, 12043, 13118, 30981, 51496  [121981]
7   34, 1980, 9898  [255681]
8   5, 17, 23, 1911, 20855, 35945, 42816  [166666] +
9   2, 12382, 27608, 31330, 117852  [189011]
10   1, 3, 9, 21, 363, 2161, 4839, 49521, 105994  [174380]
11   10  [131601]
12   1, 8, 247, 3610, 4775, 19789  [105380]
13   None  [237213] *
14   3, 5, 6, 9, 33, 45, 243, 252, 1798, 2429, 5686, 12509, 42545  [78849]
15   8, 14, 44, 154, 274, 694, 17426, 59430  [81595]
16   1, 3, 55, 81, 223, 1227, 3012, 3301  [125000] +
17   19650  [108599]
18   1, 3, 21, 23, 842, 1683, 3401, 16839, 49963, 60239  [79234]
19   6460  [117029]
20   3, 6207, 8076, 22356  [99142]
21   2, 8, 26, 67100  [88737]
22   1, 15, 189, 814, 19909, 72207  [81981]
23   4330, 89350  [108615]
24   2, 8, 368  [52209]
25   None  [174593]
26   117, 3143, 3886, 7763, 64020, 88900  [105916]
27   2, 56, 23454  [85875]
28   1, 48, 468, 2655, 3741, 49930  [71853]
29   None  [217877]
30   1, 2, 3, 7, 14, 17, 39, 79, 87, 99, 128, 169, 221, 252, 307, 3646, 6115, 19617, 49718  [58031]
31   82960  [107261]
32   5  [100000] +
33   2, 632, 1840  [73859]
34   25, 33, 103, 195, 303, 415  [40052]
35   304, 19116  [80337]
36   1, 2, 3, 8, 191, 1256, 6788, 22195, 23335, 29481  [72386]
37   36  [78741]
38   3, 1209  [81334]
39   368, 402, 36592  [49089]
40   1, 202  [50675]
41   None  [100031] *
42   1, 2, 11, 20, 8301, 14421, 25849, 37208, 52296  [53838]
43   390  [100421]
44   53  [45178]
45   2, 8, 84  [64555]
46   1, 813, 1576  [60591]
47   None  [108195]
48   3, 9, 14, 79, 114, 182, 9328, 13569  [42013]
49   None  [132905]
50   9665, 11844  [52010]
51   62, 1376, 10108, 29726  [41429]
52   1, 168, 38559  [40058]
53   None  [103895]
54   3, 8, 29, 11270  [61767]
55   None  [100001] *
56   1072, 31265  [61016]
57   234, 470, 1670, 1898  [51087]
58   1, 3, 34, 181, 252, 1135, 2139, 4510  [43998]
59   220  [66905]
60   1, 9, 13, 113, 167, 202, 445, 518, 3522, 7423  [46912]
61   142  [68975]
62   1295, 7107, 43379  [44390]
63   8, 50, 54398  [61269]
64   3, 399, 7813, 14253  [80000] +
65   16990  [61911]
66   1, 2, 158, 257, 1016, 2543, 3396, 3801  [47595]
67   474, 52932  [65859]
68   None  [80824]
69   None  [100100] *
70   1, 3, 13, 5928, 10585, 18157, 20155, 36534  [59423]
71   13948  [103485]
72   1, 2, 35, 119, 274, 607, 3185, 14360, 25201  [52733]
73   None  [111039]
74   3, 15, 26770  [60562]
75   2  [57451]
76   1161, 5401, 15516  [51384]
77   12198  [64193]
78   1, 25, 105, 254, 10671  [40240]
79   None  [101247]
80   5, 273, 3273, 23074  [43768]
81   350  [51849]
82   1, 1407, 22515  [59018]
83   1242  [77829]
84   26  [40401]
85   186, 1134, 39496  [69773]
86   3, 17, 45, 267  [63944]
87   2, 118, 34150  [67115]
88   1, 411, 1191  [64095]
89   298  [84987]
90   14, 514, 587, 27419  [45324]
91   101670  [127367]
92   9, 252, 3900, 9215  [56675]
93   2, 3332, 5642  [70659]
94   775, 1207, 3277, 11169  [59646]
95   202, 370, 18258  [61287]
96   1, 2, 3, 8, 16350  [42996]
97   1374  [72047]
98   63, 622, 1125, 4517, 25830  [78173]
99   2, 332, 21868, 26982, 31328  [46354]
100   1, 427, 2475, 21369, 72048  [86936]
* b=3: [166817] 166800 - 320015 done by P. Minovic (currently working on 320016 - 360000)
+ b=4: [108769] 108770 - 250000 done by S. Harvey
+ b=8: [106574] 106755 - 166666 done by S. Harvey
* b=13: [159581] 159500 - 237213 done by P. Minovic (currently working on 237214 - 250000)
+ b=16: [75360] 75361 - 125000 done by S. Harvey
+ b=32: [45790] 45791 - 100000 done by S. Harvey
* b=41: [67025] 67026 - 100031 done by P. Minovic
* b=55: [65583] 65584 - 100001 done by P. Minovic
+ b=64: [35234] 35235 - 80000 done by S. Harvey
* b=69: [68009] 68010 - 100100 done by P. Minovic
Last modified April 2, 2006.
Günter Löh

Autor: Günter Löh, Stand: 20.04.2006 16:57 Uhr
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