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A354167 as a simple table

na(n)
13
25
313
431
561
6127
72203
84253
99941
1019937
1123209
1286243
13110503
14132049
15756839
161398269
172976221
183021377
196972593
2013466917
2120996011
2225964951
2337156667
2443112609
2577232917

[3,5,13,31,61,127,2203,4253,9941,19937,23209,
 86243,110503,132049,756839,1398269,2976221,
 3021377,6972593,13466917,20996011,25964951,
 37156667,43112609,77232917]