Is every sufficiently large integer of the form$$a{p}^2+b$$for some prime $p$ and integer $a\ge 1$ and $0\le b<p$?

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

Erdős asked (in 1979) whether there is an (n_0) such that **every** (n>n_0) can be written $ n=a p^2+b,\qquad p\ \text{prime},\ a\ge 1,\ 0\le b<p, $ and noted that while a sieve argument shows the representation exists for **almost all** integers $n$, he thought it was likely that **infinitely many** $n$ have **no** su…

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.