pronic造句

• Thus a pronic number is squarefree if and only if and are also squarefree.
• These numbers are also called pronic numbers or " oblong numbers ".
• The th pronic number is also the difference between the odd square and the st centered hexagonal number.
• 156 is an abundant number, a pronic number, a dodecagonal number, a refactorable number and a Harshad number.
• However, a singly even number can be represented as the difference of two pronic numbers or of two powerful numbers.
• The number of distinct prime factors of a pronic number is the sum of the number of distinct prime factors of and.
• The fact that consecutive integers are coprime and that a pronic number is the product of two consecutive integers leads to a number of properties.
• Moving inwards, the next pair of diagonals contain the " quarter-squares " ( ), or the square numbers and pronic numbers interleaved.
• The th pronic number is twice the th triangular number and more than the th square number, as given by the alternative formula for pronic numbers.
• The th pronic number is twice the th triangular number and more than the th square number, as given by the alternative formula for pronic numbers.
• Each distinct prime factor of a pronic number is present in only one of the factors " n " or " n " + 1.
• The difference between and the th centered hexagonal number is a number of the form, while the difference between and the th centered hexagonal number is a pronic number.
• Composite numbers have also been called " rectangular numbers ", but that name can also refer to the pronic numbers, numbers that are the product of two consecutive integers.
• If 25 is appended to the decimal representation of any pronic number, the result is a square number e . g . 625 = 25 2, 1225 = 35 2.
• It is also a idoneal number, a pentatope number, a pronic number, a Harshad number, and an untouchable number . 210 is also the first adjacent to 2 primes ( 211 is prime, but 209 is not ).
• :I'd recommend not a cross-reference, but a category might be appropriate : Mathworld suggests the term figurate number . ( Also, Mathworld agrees with " pronic "-- if it was just an error for " promic " at one point, I think it's become pervasive enough to be called correct now . ) Chuck 21 : 30, 22 June 2006 ( UTC)
• :As no one has mentioned this, there's an easy way to find out if there's a name : just calculate the first few values and search in Sloane's OEIS . It says " Oblong ( or pronic, or heteromecic ) numbers : n ( n + 1 ) " and then later " The word " pronic " ( used by Dickson ) is incorrect .-Michael Somos.
• :As no one has mentioned this, there's an easy way to find out if there's a name : just calculate the first few values and search in Sloane's OEIS . It says " Oblong ( or pronic, or heteromecic ) numbers : n ( n + 1 ) " and then later " The word " pronic " ( used by Dickson ) is incorrect .-Michael Somos.