query: Proof of a six digit number
positive_passages.docid: 142135
positive_passages.text: A number with 6 distinct digits which get multiplied by 5 if we move the last digit to front
negative_passages.docid: 94958
negative_passages.text: Prob. 6 (d), Chap. 1, in Baby Rudin, 3rd ed: How to complete this proof?
negative_passages.docid: 71564
negative_passages.text: Combinatorial proof of identity involving central binomial coefficients
negative_passages.docid: 60706
negative_passages.text: Proof that there are infinitely many prime numbers starting with a given digit string
negative_passages.docid: 149961
negative_passages.text: Two digit numbers
negative_passages.docid: 150652
negative_passages.text: Number of 4-digit numerals with at most 2 different digits
negative_passages.docid: 9105
negative_passages.text: Finding the last two digits $123^{562}$
negative_passages.docid: 147485
negative_passages.text: A conjecture about numbers of the form $10^{m}(2^{k}−1)+2^{k-1}−1$, where $m$ is the number of decimal digits of $ 2^{k-1}$.
negative_passages.docid: 6918
negative_passages.text: Primes congruent to 1 mod 6
negative_passages.docid: 88350
negative_passages.text: Prove that the number 14641 is the fourth power of an integer in any base greater than 6?
negative_passages.docid: 80365
negative_passages.text: Prove that $n$ is divisible by $6$
negative_passages.docid: 100613
negative_passages.text: Prove that if an average of a thousand numbers is less than 7, then at least one of the numbers being averaged is less than 7
negative_passages.docid: 91044
negative_passages.text: Why is a number that is divisible by $2$ and $3$, also divisible by $6$?
negative_passages.docid: 145466
negative_passages.text: Is this a valid mathematical proof?
negative_passages.docid: 124917
negative_passages.text: Fibonacci numbers and proof by induction
negative_passages.docid: 147140
negative_passages.text: Prove the divisibility test by $7,11,13$ for numbers more than six digits
negative_passages.docid: 130027
negative_passages.text: Give a direct proof of the fact that $a^2-5a+6$ is even for any $a \in \mathbb Z$