A246548 Start of the least 5-tuple of consecutive squarefree numbers each of which has exactly n distinct prime factors.

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.

Links

Table of n, a(n) for n=1..5.

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

Adjacent sequences: A246545 A246546 A246547 * A246549 A246550 A246551

Keyword

nonn

Author

Hans Havermann, Aug 29 2014

Status

approved