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.

1, 3, 58, 61, 65, 73, 77, 1279789, 1280057, 1280066, 1280073, 1280437, 1280441, 1281155, 1281161, 1281165, 1281179, 1281190, 1281243, 1281247, 1281262, 1281271, 1281313, 1281365

Offset

1,2

Links

Table of n, a(n) for n=1..24.

Example

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.

Crossrefs

Sequence in context: A133060 A198915 A037107 * A041735 A156487 A254653

Adjacent sequences: A335290 A335291 A335292 * A335294 A335295 A335296

Keyword

nonn,more

Author

David A. Corneth, May 30 2020

Status

approved