A335293 - OEIS

A335293

a(n) is the positive integer with signature s that is the most frequent prime signature up to a(n)-1 such that there is a tie with a different signature. a(1) = 1.

%I #9 Jun 20 2020 01:15:15

%S 1,3,58,61,65,73,77,1279789,1280057,1280066,1280073,1280437,1280441,

%T 1281155,1281161,1281165,1281179,1281190,1281243,1281247,1281262,

%U 1281271,1281313,1281365

%N a(n) is the positive integer with signature s that is the most frequent prime signature up to a(n)-1 such that there is a tie with a different signature. a(1) = 1.

%e Up to 57, primes and semiprimes occur equally often (16 times each). 58 is a semiprime, becoming the most frequently seen prime signature until then. Another tie occurs at 59 when primes are most frequently seen at 61 (18 times) but not at 60. Hence 61 is a term.

%K nonn,more

%O 1,2

%A _David A. Corneth_, May 30 2020