Generalized Cullen primes

Generalized Cullen primes n bⁿ + 1

b	Values of n
3	2, 8, 32, 54, 114, 414, 1400, 1850, 2848, 4874, 7268, 19290, 337590 [773235] *
4	1, 3, 7, 33, 67, 223, 663, 912, 1383, 3777, 3972, 10669, 48375 [250000] +
5	1242, 18390 [379575]
6	1, 2, 91, 185, 387, 488, 747, 800, 9901, 10115, 12043, 13118, 30981, 51496 [200000] =
7	34, 1980, 9898 [255681]
8	5, 17, 23, 1911, 20855, 35945, 42816 [166666] +
9	2, 12382, 27608, 31330, 117852 [222431]
10	1, 3, 9, 21, 363, 2161, 4839, 49521, 105994, 207777 [260654]
11	10 [214125]
12	1, 8, 247, 3610, 4775, 19789, 187895 [254519]
13	None [1000000] ÷
14	3, 5, 6, 9, 33, 45, 243, 252, 1798, 2429, 5686, 12509, 42545 [210135]
15	8, 14, 44, 154, 274, 694, 17426, 59430 [136149]
16	1, 3, 55, 81, 223, 1227, 3012, 3301 [125000] +
17	19650 [169029]
18	1, 3, 21, 23, 842, 1683, 3401, 16839, 49963, 60239, 150940, 155928 [158679]
19	6460 [266187]
20	3, 6207, 8076, 22356, 151456 [182115]
21	2, 8, 26, 67100 [274099]
22	1, 15, 189, 814, 19909, 72207 [137649]
23	4330, 89350 [177567]
24	2, 8, 368 [129821]
25	None [500000] ÷
26	117, 3143, 3886, 7763, 64020, 88900 [123862]
27	2, 56, 23454 [215413] 259738 *
28	1, 48, 468, 2655, 3741, 49930 [183474]
29	None [500000] ÷
30	1, 2, 3, 7, 14, 17, 39, 79, 87, 99, 128, 169, 221, 252, 307, 3646, 6115, 19617, 49718 [101757]
31	82960 [174855]
32	5 [100000] +
33	2, 632, 1840, 91848 [131715]
34	25, 33, 103, 195, 303, 415 [74615]
35	304, 19116 [117225]
36	1, 2, 3, 8, 191, 1256, 6788, 22195, 23335, 29481 [90181]
37	36 [222687]
38	3, 1209 [141911]
39	368, 402, 36592 [168555]
40	1, 202 [50675] 74844
41	None [500000] ÷
42	1, 2, 11, 20, 8301, 14421, 25849, 37208, 52296 [170000] ×
43	390 [158019]
44	53 [90664]
45	2, 8, 84 [120049]
46	1, 813, 1576 [89009]
47	None [500000] ÷
48	3, 9, 14, 79, 114, 182, 9328, 13569, 60261 [93537]
49	None [500000] ÷
50	9665, 11844, 92278 [104798]
51	62, 1376, 10108, 29726, 65816, 136628 [150971]
52	1, 168, 38559 [158573]
53	None [500000] ÷
54	3, 8, 29, 11270 [75855]
55	None [497236] ÷
56	1072, 31265 [125830]
57	234, 470, 1670, 1898 [119337]
58	1, 3, 34, 181, 252, 1135, 2139, 4510 [130502]
59	220, 74460 [149849]
60	1, 9, 13, 113, 167, 202, 445, 518, 3522, 7423, 70615 [87580]
61	142, 76710 [146157]
62	1295, 7107, 43379 [154473]
63	8, 50, 54398 [81489]
64	3, 399, 7813, 14253 [80000] +
65	16990 [126417]
66	1, 2, 158, 257, 1016, 2543, 3396, 3801, 81778 [106152]
67	474, 52932 [171857]
68	129897 [151037] ÷
69	None [470690] ÷
70	1, 3, 13, 5928, 10585, 18157, 20155, 36534 [74775]
71	13948 [126795]
72	1, 2, 35, 119, 274, 607, 3185, 14360, 25201 [96313]
73	None [464214] ÷
74	3, 15, 26770 [131086]
75	2 [110363]
76	1161, 5401, 15516 [106662]
77	12198 [131667]
78	1, 25, 105, 254, 10671 [58516]
79	None [456100] ÷
80	5, 273, 3273, 23074, 59871 [99392]
81	350, 73272 126042, 178192 [280000] *
82	1, 1407, 22515 [110750]
83	1242 [163911]
84	26, 59215 [70976]
85	186, 1134, 39496 [131529]
86	3, 17, 45, 267, 117172 [156579]
87	2, 118, 34150 [222019]
88	1, 411, 1191 [123155]
89	298 [273371]
90	14, 514, 587, 27419, 49527 [120817]
91	101670 [221415]
92	9, 252, 3900, 9215 [141190]
93	2, 3332, 5642 [167813]
94	775, 1207, 3277, 11169 [108252]
95	202, 370, 18258 [121773]
96	1, 2, 3, 8, 16350, 43895, 143717 [167204]
97	1374 [138893]
98	63, 622, 1125, 4517, 25830 [166767]
99	2, 332, 21868, 26982, 31328, 138846 [182529]
100	1, 427, 2475, 21369, 72048, 98035 [156065]

Günter Löh

Generalized Cullen primes n bn + 1

Generalized Cullen primes n bⁿ + 1