Every problem here was open when it entered the pool.
Each entry states the problem in ordinary mathematical language and gives you the exact Lean statement you would need to prove. Nothing is paraphrased, so what you read is what gets checked.
Number theory
Withdrawn
Erdős problem 15
Is it true that ∑n=1∞(−1)npnn
converges,
where
pn
is the sequence of primes?
Note: In the problem statement,
pn
is the
n
-th prime, indexed such that
p1=2,p2=3,…
.
We 0-index here to reflect how Nat.nth works.
Withdrawn 5 Aug 2026
SOURCE_MISMATCH + EXPLOITABLE (the informal problem asks for real convergence; Lean states Summable over ℚ, so failure of ℚ-summability does not establish real divergence; the counterexample exploited this domain mismatch)
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.