query: Contradiction: Prove 2+2 = 5
positive_passages.docid: 41418
positive_passages.text: $2+2 = 5$? error in proof
negative_passages.docid: 55077
negative_passages.text: prove that $2\sqrt5 +\sqrt{11}$ is irrational
negative_passages.docid: 21826
negative_passages.text: How to prove $\sqrt{5+\sqrt{5+\sqrt{5-\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5-\cdots}}}}}}} = \frac{2+\sqrt 5 +\sqrt{15-6\sqrt 5}}{2}$
negative_passages.docid: 117999
negative_passages.text: Prove by contradiction (not using a calculator) that $\sqrt6 + \sqrt2 < \sqrt{15}$?
negative_passages.docid: 20878
negative_passages.text: If $(a,b)=1$ then prove $(a+b, ab)=1$.
negative_passages.docid: 5729
negative_passages.text: If $a^2+b^2+c^2=1$ then prove the following.
negative_passages.docid: 40532
negative_passages.text: Seems that I just proved $2=4$.
negative_passages.docid: 147528
negative_passages.text: Where's the error in this $2=1$ fake proof?
negative_passages.docid: 115976
negative_passages.text: $\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?
negative_passages.docid: 109532
negative_passages.text: Proving $5^n \equiv 1 \pmod {2^r}$ when $n=2^{r-2}$
negative_passages.docid: 82083
negative_passages.text: Solving $(z+1)^5 = z^5$
negative_passages.docid: 100399
negative_passages.text: A doubt with a part of a certain proof.
negative_passages.docid: 88188
negative_passages.text: Explain proof by contradiction.
negative_passages.docid: 76032
negative_passages.text: Prove that if m is a square integer then m is neither congruent to 2 modulo 5 nor congruent to 3 modulo 5
negative_passages.docid: 111298
negative_passages.text: Direct Proof that $1 + 3 + 5 + \cdots+ (2n - 1) = n\cdot n$
negative_passages.docid: 140167
negative_passages.text: Proving $A+A'B=A+B$ without truth tables
negative_passages.docid: 59653
negative_passages.text: $x^2-y^2=2s$, s cannot be an odd integer