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A285886 as a simple table

na(n)
15
27
313
417
531
637
797
8127
9257
10881
114651
128191
1365537
14131071
15524287
161273609
172147483647
182305843009213693951
19618970019642690137449562111
203512911982806776822251393039617
21162259276829213363391578010288127
22170141183460469231731687303715884105727

[5,7,13,17,31,37,97,127,257,881,4651,8191,65537,
 131071,524287,1273609,2147483647,
 2305843009213693951,618970019642690137449562111,
 3512911982806776822251393039617,
 162259276829213363391578010288127,
 170141183460469231731687303715884105727]