204323

Appears in sequences

• a(n) is minimal such that prime factorizations of a(n), ..., a(n)+n-1 have same exponents.at n=4A034173
• Numbers m such that the factorizations of m..m+5 have the same number of primes (including multiplicities).at n=19A045942
• Starts of runs of exactly 6 consecutive nonsquarefree numbers.at n=19A049535
• The start of a record-breaking run of consecutive integers with a number of prime factors (counted with multiplicity) equal to 4.at n=5A067814
• Least of five consecutive numbers which are cubefree and not squarefree, i.e., {k, k+1, k+2, k+3, k+4} are in A067259.at n=5A071124
• Triangle read by rows in which the n-th row gives the smallest set of n consecutive numbers with the same prime signatures.at n=10A083785
• Square array read by antidiagonals: a(n, d) is the smallest number that begins an arithmetic progression with common difference d of n numbers with the same prime signature.at n=10A113456
• Numbers k with prime signature(k) = prime signature(k+1) = prime signature(k+2) = prime signature(k+3).at n=6A175590
• First of a run of 5 consecutive numbers with same prime signature.at n=0A218448
• T(n,k) is the start of the first run of exactly k consecutive integers having exactly 2n divisors. Table read by rows.at n=24A292580
• a(n) is the smallest number k such that n consecutive integers starting at k have the same number of nonprime divisors (A033273).at n=4A324594
• a(n) is the start of the least run of exactly n consecutive numbers with the same number of nonunitary divisors.at n=5A349305
• a(n) is the least start of exactly n consecutive numbers that have an equal sum of even and odd exponents in their prime factorization (A356413), or -1 if no such run of consecutive numbers exists.at n=4A356416
• 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=17A374449
• 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=33A375160
• Smallest number m such that m, m+1, m+2, m+3, m+4 and m+5 have exactly n prime factors (counted with multiplicity).at n=1A387701