OFFSET
1,1
COMMENTS
Subset of A045940 Numbers n such that factorizations of n through n+3 have same number of primes (including multiplicities). Cf. A124057, A124729 Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3,5 primes. There are no numbers n such that n, n+1, n+2 and n+3 are products of exactly 6 primes(?)
LINKS
D. W. Wilson, Table of n, a(n) for n = 1..10000
EXAMPLE
4023=3^3*149, 4024=2^3*503, 4025=5^2*7*23, 4026=2*3*11*61 (all products of 4 primes).
MATHEMATICA
Transpose[Select[Partition[Range[65000], 4, 1], Union[PrimeOmega[#]] == {4}&]] [[1]] (* Harvey P. Dale, Nov 01 2011 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Nov 05 2006
STATUS
approved