A045984 a(n) = smallest number m such that factorizations of n consecutive integers starting at m have same number of primes (counted with multiplicity).

1, 2, 33, 602, 602, 2522, 211673, 3405122, 3405122, 49799889, 202536181, 3195380868, 5208143601, 85843948321, 97524222465

Offset

1,2

Comments

a(16) > 10^13. a(16) must have at least 5 prime factors (counted with multiplicity) because one of the 16 consecutive numbers is divisible by 2^4. - Donovan Johnson, Apr 01 2013

Links

Table of n, a(n) for n=1..15.

Example

a(4) = 602 as 602 = 2 * 7 * 43, 603 = 3 * 3 * 67, 604 = 2 * 2 * 151, 605 = 5 * 11 * 11 so four consecutive positive integers have the same number of prime factors starting at 602, the first such number. - David A. Corneth, Feb 24 2024

Crossrefs

Cf. A001222, A045920, A045939, A045940, A045941, A045942, A077657, A117969, A356953.

Sequence in context: A083143 A064008 A093752 * A077657 A219342 A256278

Adjacent sequences: A045981 A045982 A045983 * A045985 A045986 A045987

Keyword

nonn,more

Author

David W. Wilson

Extensions

More terms from Vladeta Jovovic, Aug 06 2002

More terms from Martin Fuller, Nov 21 2006

Status

approved