A124058 Smallest of the first occurrence of n consecutive integers with all different prime signatures.

2, 3, 4, 6, 8, 23, 24, 1804, 1968, 8375, 53750, 243864, 639324, 41381620, 102621343, 7802708736, 7802708736, 178874468615, 1133934949368

Offset

1,1

Comments

Essentially the same as A083790. - T. D. Noe, Nov 10 2006

a(18) > 10^11. - Donovan Johnson, Oct 24 2009

a(20) > 10^13. - Giovanni Resta, Jul 13 2015

Links

Table of n, a(n) for n=1..19.

Eric Weisstein's World of Mathematics, Prime Signature.

Example

a(6) = 23 because it begins the first occurrence of 6 consecutive integers that have all different prime signatures ({1}, {1,3}, {2}, {1,1}, {3}, {1,2} respectively for 23 through 28).

Crossrefs

Cf. A034173, A025487, A083790, A083788.

Sequence in context: A084074 A144722 A105808 * A274423 A118080 A136561

Adjacent sequences: A124055 A124056 A124057 * A124059 A124060 A124061

Keyword

nonn,more

Author

Joe McCauley (mccauleyj(AT)insightbb.com), Nov 03 2006

Extensions

a(12)-a(15) added from A083790, Nov 10 2006

a(16)-a(17) from Donovan Johnson, Oct 24 2009

a(18)-a(19) from Giovanni Resta, Jul 13 2015

Status

approved