Is there a way to find a sequence that starts with a given number?

[David Wilson]

There are also very few even numbers which are not the sum of a prime and a 
(nontrivial positive) power.  Thus it would make sense to create a sequence 
including all of them.  This sequence would start

1,2,5,1549

I'm not sure if other even elements show up before 1771561.

Note also that 5 shows up before 1549, so a previous OEIS sequence for 
Tanya's problem would not begin with 1549.

> It seems to be missing in OEIS. The next term is  1771561 = 11^6.
> So the sequence starts with
> 1, 1549, 1771561