A124058 - OEIS

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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

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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