Four sequences with similar pattern of beginning

Determine the missing number
in the sequences below
$7, 9, 13, 17, ?, 29,…
6, 8, ?, 16, 24, 28,…$

$8, 11, 29, 51, 125, ?, 293,…
9, 11, 30, 51, 126, ?, 294,…$

I apologize for the simultaneous quantity, but I believe that the pairs have a similar pattern of beginning, so that resolving one will solve the others. Am I right?
These terms are important results to proceed with the solution of some integrals present in
(Almost) Impossible Integrals, Sums, and Series (Problem Books in Mathematics) (English Edition)