211673
domain: N
Appears in sequences
- Numbers m such that the factorizations of m..m+5 have the same number of primes (including multiplicities).at n=20A045942
- a(n) = smallest number m such that factorizations of n consecutive integers starting at m have same number of primes (counted with multiplicity).at n=6A045984
- Start of a record-breaking run of consecutive integers with a number of prime factors (counted with multiplicity) equal to 3.at n=5A067813
- Least number with exactly n consecutive successors, all having the same number of prime factors (counted with multiplicity).at n=6A077657
- Start of least run of maximal length of consecutive n-almost primes.at n=2A117969
- Numbers m such that the factorizations of m..m+6 have the same number of primes (including multiplicities).at n=0A123103
- Numbers n such that numbers n through n+6 are the product of exactly three (not necessarily distinct) primes.at n=0A259756
- Least nonzero starting number in the first run of exactly n consecutive numbers having the same number of prime factors counted with multiplicity, or -1 if no such number exists.at n=6A356953
- Triangle read by rows: T(m,k) is the first number that starts a sequence of exactly k consecutive numbers with m prime factors, counted with multiplicity, if such a sequence is possible.at n=11A374449
- Square array T(n, k), n >= 2 and k >= 1, read by antidiagonals in ascending order, give the smallest number that starts a sequence of exactly k consecutive numbers each having exactly n prime factors (counted with multiplicity), or -1 if no such number exists.at n=34A375160
- Numbers k such that k, k+1, ..., k+5 all have 3 prime factors (counted with multiplicity).at n=19A375239
- Smallest number m such that m, m+1, m+2, m+3, m+4, m+5 and m+6 have exactly n prime factors (counted with multiplicity).at n=0A387702