query: Euler's theorem modification?
positive_passages.docid: 29231
positive_passages.text: Proof of : $x^{n}\equiv x^{\varphi(m)+[n \bmod \varphi(m)]} \mod m$
negative_passages.docid: 57944
negative_passages.text: Euler's Formula application for distinct odd primes with gcd 1
negative_passages.docid: 147275
negative_passages.text: Finding a Eulerian Tour
negative_passages.docid: 8311
negative_passages.text: Is there another proof for Euler–Mascheroni Constant?
negative_passages.docid: 90537
negative_passages.text: Converse of Fermat's Little Theorem.
negative_passages.docid: 157652
negative_passages.text: Fermat's Last Theorem for Gaussian Integers (excluding the integers or  same pure imaginaries)
negative_passages.docid: 81723
negative_passages.text: Infinitely many primes proof using Euler's totient
negative_passages.docid: 49938
negative_passages.text: Proof of $a^{\phi (n) +1} \equiv a \pmod{\! n} $ Carmichael generalization of Fermat-Euler's theorem.
negative_passages.docid: 742
negative_passages.text: How to prove Euler's formula: $e^{i\varphi}=\cos(\varphi) +i\sin(\varphi)$?
negative_passages.docid: 5486
negative_passages.text: RSA: How Euler's Theorem is used?
negative_passages.docid: 92959
negative_passages.text: How to show $\gamma$ aka Euler's constant is convergent?
negative_passages.docid: 3178
negative_passages.text: How do I make a Theorem n followed by a Theorem n' ?
negative_passages.docid: 125734
negative_passages.text: Has anyone talked themselves into understanding Euler's identity a bit?
negative_passages.docid: 25729
negative_passages.text: Why is Euler's Gamma function the "best" extension of the factorial function to the reals?
negative_passages.docid: 80754
negative_passages.text: A slight modification in Chinese Remainder Theorem
negative_passages.docid: 23451
negative_passages.text: The new introduced EulerMatrix problem
negative_passages.docid: 20550
negative_passages.text: Generalized Euler sum $\sum_{n=1}^\infty \frac{H_n}{n^q}$