query: Number of pairs with product less than a given number.
positive_passages.docid: 149939
positive_passages.text: Number of ordered pairs $(a,b)$ such that $ab \le 3600$
negative_passages.docid: 128051
negative_passages.text: Calculating possible option of switching pairs in group
negative_passages.docid: 82207
negative_passages.text: Number of Pairs of Subsets
negative_passages.docid: 17268
negative_passages.text: Cycles in permutations of a given size
negative_passages.docid: 8742
negative_passages.text: Examples and further results about the order of the product of two elements in a group
negative_passages.docid: 108885
negative_passages.text: Systems of equations with a single number
negative_passages.docid: 143573
negative_passages.text: Problem (1.8) A Path to Combinatorics Solution Verification.
negative_passages.docid: 142978
negative_passages.text: combinatorics: sum of product of integer compositions
negative_passages.docid: 50781
negative_passages.text: $(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
negative_passages.docid: 58103
negative_passages.text: number of permutations in which no two consecutive numbers are adjacent
negative_passages.docid: 96086
negative_passages.text: Double Factorial: Number of possibilities to partition a set of $2n$ items into $n$ pairs
negative_passages.docid: 150679
negative_passages.text: Number of n-words such that a and b are not neighbors.
negative_passages.docid: 64075
negative_passages.text: Prove that a set of connectives is inadequate
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: 41205
negative_passages.text: Help me solve a combinatorial problem
negative_passages.docid: 50249
negative_passages.text: Pairs of numbers with a given LCM
negative_passages.docid: 69827
negative_passages.text: Set conditions at a permutation