login
A246548
Start of the least 5-tuple of consecutive squarefree numbers each of which has exactly n distinct prime factors.
3
462807341, 115, 6302, 294590, 106985762
OFFSET
1,1
COMMENTS
By "consecutive squarefree numbers" we mean consecutive terms of A005117, not consecutive integers that also happen to be squarefree.
EXAMPLE
462807341, 462807343, 462807347, 462807349, and 462807353 are the smallest 5 primes that are also consecutive squarefree numbers, so a(1) = 462807341.
115, 118, 119, 122, and 123 are the smallest 5 semiprimes that are also consecutive squarefree numbers, so a(2) = 115.
6302, 6303, 6305, 6306, and 6307 is the smallest 5-tuple of consecutive squarefree numbers each of which has exactly 3 prime factors, so a(3) = 6302.
CROSSREFS
Cf. A005117, A242621 (triple version), A246470 (quadruplet version), A246471.
Sequence in context: A286846 A349747 A323653 * A260524 A091677 A147717
KEYWORD
nonn
AUTHOR
Hans Havermann, Aug 29 2014
STATUS
approved