Erdős problem 10

Is there some $k$ such that every integer is the sum of a prime and at most $k$ powers of $2$ ?

Sources

The source's own material, retained exactly.

6 retained statements36c6d0fef71a

FormalConjectures/ErdosProblems/

10.lean

Retained formal statement6 of 6

There are infinitely many even integers not the sum of a prime and $2$ powers of $2$

FormalConjectures/ErdosProblems/10.leanErdos10.erdos_10.variants.two_pows1 lineExact file

1({n | Even n} \ Erdos10.sumPrimeAndTwoPows 2).Infinite

SolvedStatement only, no proof