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- Prime_k-tuple abstract "In number theory, a prime k-tuple is a set of values (i.e., a vector) representing a repeatable pattern of differences between prime numbers. A k-tuple is represented as (a, b, ...) to represent any set of values (n + a, n + b, ...) for all values of n. In practice, 0 is usually used for the lowest value of the k-tuple.Several of the shortest k-tuples are known by other common names:A prime k-tuple is sometimes referred to as an admissible k-tuple. In order for a k-tuple to be admissible, it must not include the complete modulo set of residue classes (i.e. the values 0 through p − 1) of any prime p less than or equal to k. For example, the complete modulo residue of p = 3 is 0, 1, and 2, so the numbers in a k-tuple modulo 3 would have to include at most two of these values to be admissible; otherwise the resulting numbers would always include a multiple of 3 and therefore could not all be prime unless one of the numbers is 3 itself. Although (0, 2, 4) is not admissible it does produce the single set of primes, (3, 5, 7). Some inadmissible k-tuples have more than one all-prime solution. The smallest of these is (0, 2, 8, 14, 26), which has two solutions: (3, 5, 11, 17, 29) and (5, 7, 13, 19, 31) where all congruences (mod 5) are included in both cases.".
- Prime_k-tuple wikiPageID "11421646".
- Prime_k-tuple wikiPageRevisionID "597738961".
- Prime_k-tuple hasPhotoCollection Prime_k-tuple.
- Prime_k-tuple subject Category:Prime_numbers.
- Prime_k-tuple type Abstraction100002137.
- Prime_k-tuple type DefiniteQuantity113576101.
- Prime_k-tuple type Measure100033615.
- Prime_k-tuple type Number113582013.
- Prime_k-tuple type Prime113594005.
- Prime_k-tuple type PrimeNumber113594302.
- Prime_k-tuple type PrimeNumbers.
- Prime_k-tuple comment "In number theory, a prime k-tuple is a set of values (i.e., a vector) representing a repeatable pattern of differences between prime numbers. A k-tuple is represented as (a, b, ...) to represent any set of values (n + a, n + b, ...) for all values of n. In practice, 0 is usually used for the lowest value of the k-tuple.Several of the shortest k-tuples are known by other common names:A prime k-tuple is sometimes referred to as an admissible k-tuple.".
- Prime_k-tuple label "Prime k-tuple".
- Prime_k-tuple sameAs m.02rc08y.
- Prime_k-tuple sameAs Q7243373.
- Prime_k-tuple sameAs Q7243373.
- Prime_k-tuple sameAs Prime_k-tuple.
- Prime_k-tuple wasDerivedFrom Prime_k-tuple?oldid=597738961.
- Prime_k-tuple isPrimaryTopicOf Prime_k-tuple.