query: Find all relatively prime successive binomial coefficients
positive_passages.docid: 147079
positive_passages.text: $\gcd\left(\binom{n}{k},n\right)>1$ for nontrivial values?
negative_passages.docid: 126587
negative_passages.text: Divisiblity of binomial coefficients
negative_passages.docid: 79814
negative_passages.text: Calculate sums of inverses of binomial coefficients
negative_passages.docid: 112120
negative_passages.text: Find all primes of the form $2^{2^n} + 5$ for a nonnegative integer n
negative_passages.docid: 25229
negative_passages.text: Can any set of $n$ relatively prime elements be extended to an invertible matrix?
negative_passages.docid: 64883
negative_passages.text: What is the most efficient algorithm to find the closest prime less than a given number $n$
negative_passages.docid: 59638
negative_passages.text: How to prove this result on binomial coefficients?
negative_passages.docid: 65983
negative_passages.text: Combinatorial proof of binomial coefficient summation identity
negative_passages.docid: 105237
negative_passages.text: Alternating sum of binomial coefficients identity
negative_passages.docid: 31184
negative_passages.text: Sums of powers below a prime
negative_passages.docid: 80155
negative_passages.text: Binomial coefficient problem
negative_passages.docid: 27069
negative_passages.text: sum of all positive integers less than $n$ and relatively prime to $n$
negative_passages.docid: 70967
negative_passages.text: Permutation with prime order, fixed point
negative_passages.docid: 17233
negative_passages.text: are two consecutive numbers relatively prime?
negative_passages.docid: 151636
negative_passages.text: Fast way to calculate n! mod m where m is prime?
negative_passages.docid: 2264
negative_passages.text: Conjecture: the sequence of sums of all consecutive primes contains an infinite number of primes
negative_passages.docid: 79940
negative_passages.text: $\binom{p}{i}$ divisible by $p$, with $p$ prime