SPT: Difference between revisions
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A prime k-tuple is a finite collection of values (p + a1, p + a2, p + a3, …, p + ak), | A prime k-tuple is a finite collection of values (p + a1, p + a2, p + a3, …, p + ak), | ||
where p, p + a1, p + a2, p + a3, …, p + ak are prime numbers, (a1, a2, a3, …, ak) are pattern. Typically the first value in the pattern is 0 and the rest are distinct positive even numbers. [ | where p, p + a1, p + a2, p + a3, …, p + ak are prime numbers, (a1, a2, a3, …, ak) are pattern. Typically the first value in the pattern is 0 and the rest are distinct positive even numbers. [https://en.wikipedia.org/wiki/Prime_k-tuple] | ||
We consider the k-tuple, where p + a1, p + a2, p + a3, ..., p + ak are consecutive primes. | We consider the k-tuple, where p + a1, p + a2, p + a3, ..., p + ak are consecutive primes. | ||
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'''''Definition 4''''' | '''''Definition 4''''' | ||
The diameter d of k-tuple is the difference of its largest and smallest elements. [ | The diameter d of k-tuple is the difference of its largest and smallest elements.[http://oeis.org/A055380] | ||
Example | Example | ||
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It has a diameter d = 26. | It has a diameter d = 26. | ||
Known solutions with a minimal diameter and a minimal value of p for k = 2, 4, 6, 8 see in [ | Known solutions with a minimal diameter and a minimal value of p for k = 2, 4, 6, 8 see in [http://oeis.org/A081235] | ||
Further, | Further, | ||