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%I A124058 #20 Mar 05 2023 13:23:50
%S A124058 2,3,4,6,8,23,24,1804,1968,8375,53750,243864,639324,41381620,
%T A124058 102621343,7802708736,7802708736,178874468615,1133934949368
%N A124058 Smallest of the first occurrence of n consecutive integers with all different prime signatures.
%C A124058 Essentially the same as A083790. - _T. D. Noe_, Nov 10 2006
%C A124058 a(18) > 10^11. - _Donovan Johnson_, Oct 24 2009
%C A124058 a(20) > 10^13. - _Giovanni Resta_, Jul 13 2015
%H A124058 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeSignature.html">Prime Signature</a>.
%e A124058 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).
%Y A124058 Cf. A034173, A025487, A083790, A083788.
%K A124058 nonn,more
%O A124058 1,1
%A A124058 Joe McCauley (mccauleyj(AT)insightbb.com), Nov 03 2006
%E A124058 a(12)-a(15) added from A083790, Nov 10 2006
%E A124058 a(16)-a(17) from _Donovan Johnson_, Oct 24 2009
%E A124058 a(18)-a(19) from _Giovanni Resta_, Jul 13 2015

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