A376949 Products of 5 distinct primes that are sandwiched between squarefree semiprime numbers.

5610, 6510, 6630, 7770, 9570, 10230, 12558, 13530, 14190, 14586, 14790, 15834, 16590, 16770, 17710, 19734, 20670, 21630, 22610, 22890, 23478, 23730, 24882, 25662, 26970, 28490, 28938, 29370, 31110, 31710, 33306, 33558, 33990, 34410, 34710, 35178, 35742, 36330, 37230, 37758, 38346, 39130, 40890

Offset

1,1

Comments

All terms are even.

Links

Table of n, a(n) for n=1..43.

Example

5610 is a term because 5610=2*3*5*11*17 is the product of five distinct primes and 5609=71*79, 5611=31*181 are semiprime numbers.
6510 is a term because 6510=2*3*5*7*31 is the product of five distinct primes and 6509=23*283, 6511=17*383 are semiprime numbers.

Mathematica

SequencePosition[Map[#[[;; , 2]] &, FactorInteger[Range[41000]]], {{1, 1}, {1, 1, 1, 1, 1}, {1, 1}}][[;; , 1]] + 1 (* Amiram Eldar, Oct 10 2024 *)

Crossrefs

Intersection of A046387 and 2*A350101.

Cf. A046387, A376380, A006881.

Sequence in context: A126784 A071813 A074242 * A032737 A237507 A198164

Adjacent sequences: A376946 A376947 A376948 * A376950 A376951 A376952

Keyword

nonn

Author

Massimo Kofler, Oct 10 2024

Status

approved