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

[Tanya Khovanova]

For example, I would like to check that 

1549 is the smallest odd number that is not the sum of a prime and a power.

Can I find all the sequences that start with 1549?

Is there a sequence of odd numbers that are not the sum of a prime and a power?

Tanya Khovanova


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