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

Author

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

Keywords

• nonn
• more

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

Examples

			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).
		

Links

• Eric Weisstein's World of Mathematics, Prime Signature.

Crossrefs

Cf. A034173, A025487, A083790, A083788.

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