This sequence is probably infinite, but may grow extremely rapidly. Russ Cox has checked that there are no further terms below 4.9*10^12. - N. J. A. Sloane, Jan 25 2022
Table of n, a(n) for n=1..6.
513152128 is a down-drop from 2^32 at index 513152096 in A350877, 2^32 being 712032365 at index 513152095 plus the prime 3582934931.
Cf. A350877, A350616.
Sequence in context: A258848 A072843 A354069 * A300065 A072902 A269705
Adjacent sequences: A350612 A350613 A350614 * A350616 A350617 A350618
Hans Havermann, Jan 22 2022