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

Author

David W. Wilson

Keywords

• nonn
• more

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

Examples

			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.

Extensions

More terms from Vladeta Jovovic, Aug 06 2002

More terms from Martin Fuller, Nov 21 2006