# [seqfan] I can only give the first 4 values of the main diagonal of Generalized Cullen primes

Jonathan Post jvospost3 at gmail.com
Sat Feb 6 04:19:05 CET 2010

```I can only give the first 4 values of the main diagonal of Generalized
Cullen primes   {n such that  n * k^n + 1 is prime}

1, 141, 32, 33, ????, 488, ???,

http://www1.uni-hamburg.de/RRZ/G.Loeh/gc/status.html

n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
k=1: 1, 2, 4, 6, 10, 12, 16, 18, 22, 28 = A006093
k=2: 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825 = A005849
k=3: 2, 8, 32, 54, 114, 414, 1400, 1850, 2848, 4874 = A006552
k=4: 1, 3, 7, 33, 67, 223, 663, 912, 1383, 3777 = A007646
k=5: 1242, 18390  [306383] [not in OEIS?]
k=6: 1, 2, 91, 185, 387, 488, 747, 800, 9901, 10115 [Not in OEIS?]
k=7: 34, 1980, 9898  [255681] [Not in OEIS?]
k=8: 5, 17, 23, 1911, 20855, 35945, 42816  [166666] [not in OEIS?]
k=9: 2, 12382, 27608, 31330, 117852  [215739] [not in OEIS?]
k=10: 1, 3, 9, 21, 363, 2161, 4839, 49521, 105994  [200415] = A007647

Yet shouldn't some of the missing rows be in OEIS, and maybe the main
diagonal, through "bref" just to show the array?

```