Phi15(x) = x^8-x^7+x^5-x^4+x^3-x+1

Phi15(2^3^m) = 256^3^m-128^3^m+32^3^m-16^3^m+8^3^m-2^3^m+1

0 151
1 631 * 23311
2 271 * 348031 * 49971617830801
3 537841 * 11096527935003481 * P(44) 17645665556213400107370602081155737281406841
4 49677578641 * 
5 *
6 21871 *
7 7020271 * 12597121 * 975196658042911 *
8 196831 * 2558791 * 60376420160119047871 * 



(0)
151-1 = 2 * 3 * 5^2

(1)
631-1 = 2 * 3^2 * 5 * 7
23311-1 = 2 * 3^2 * 5 * 7 * 37

(2)
271-1 = 2 * 3^3 * 5
348031-1 = 2 * 3^3 * 5 * 1289
49971617830801-1 = 2^4 * 3^3 * 5^2 * 45317 * 102103

(3)
537841-1 = 2^4 * 3^4 * 5 * 83
11096527935003481-1 = 2^3 * 3^5 * 5 * 1141618100309
P(44)-1 = 2^3 * 3^4 * 5 * 7^3 * 3769 * 27847 * 37392599 * 111224327 * 36375495875083

(4)
49677578641-1 = 2^4 * 3^5 * 5 * 251 * 10181

(5)


(6)
21871-1= 2 * 3^7 * 5

(7)
7020271-1 = 2 * 3^8 * 5 * 107
12597121-1 = 2^7 * 3^9 * 5
975196658042911-1 = 2 * 3^8 * 5 * 41 * 362525291

(8)
196831-1 = 2 * 3^9 * 5
2558791-1 = 2 * 3^9 * 5 * 13
60376420160119047871-1 = 2 * 3^9 * 5 * 2657 * 115447494577


https://oeis.org/A005539
10*3^n+1 prime

1, 3, 4, 7, 9,
12, 18, 22,
102, 112, 157, 162, 289, 619, 763,
1389, 1783, 1882, 3294, 3567,
13297, 14932, 18954, 19612, 23598, 33882, 66874, 70546, 86568,
187626, 190738,
1153674, 3550446,

10*3^3550446+1  L4965 Propper 2020-09-13 
10*3^1153674+1  L4965 Propper 2020-09-11 
10*3^19612+1    gk    Keller  1999-04-16 
10*3^18954+1    gk    Keller  1999-04-16 
10*3^13297+1    gk    Keller  1998-10-30 

10*3^n+1

 0 11
 1 31
 2 7 * 13
 3 271
 4 811
 5 11 * 13 * 17
 6 23 * 317
 7 21871
 8 7^2 * 13 * 103
 9 196831
10 11 * 53681
11 13 * 43 * 3169
12 5314411
13 1123 * 14197
14 7 * 13 * 47 * 53 * 211
15 11 * 29 * 37 * 12157
16 19 * 241 * 94009
17 13 * 23 * 4319069
18 3874204891
19 59 * 196993469
20 7 * 11 * 13 * 34833011
21 17 * 6153148943
22 313810596091
23 13 * 72417829867
24 293 * 5557 * 1734611
25 11 * 101 * 257 * 263 * 112831
26 7 * 13 * 279325915201
27 3571457 * 21351503
28 23 * 1663 * 5981017139
29 13 * 52792597972987


dual

https://oeis.org/A102907

A217137 Numbers k such that 3^k + 10 is prime.
0, 
1, 2, 3, 6, 8, 
18, 36, 98, 
114, 134, 138, 212, 252, 516, 
1166, 2321, 2442, 2732, 4569, 8622, 8709, 
16487, 22722, 25242, 29928, 32034, 33783, 34001, 44934, 50868, 77861, 90188, 
102102, 171843, 178226, 273521


10+3^n
 0 11
 1 13
 2 19
 3 37
 4 7 * 13
 5 11 * 23
 6 729
 7 13^3
 8 6571
 9 47 * 419
10 7 * 11 * 13 * 59
11 17^2 * 613
12 179 * 2969
13 13 * 29 * 4229
14 373 * 12823
15 11 * 251 * 5197
16 7 * 13 * 23 * 131 * 157
17 137 * 163 * 5783
18 387420499
19 13 * 503 * 177743