A075031 a(n) is the smallest number k such that the number of divisors of the n numbers from k through k+n-1 are nonincreasing.

1, 2, 20, 20, 714, 714, 25550, 90180, 142803, 809300, 27195648, 27195648, 6973441007, 37962822225, 37962822225, 114296059262, 265228019405583, 394047434860662, 2493689139940250

Offset: 1

Author

Amarnath Murthy, Sep 02 2002

Keywords

• nonn
• more

Comments

tau(k) >= tau(k+1) >= ... >= tau(k+n-1).

Next term is > 2000000. - David Wasserman, May 06 2005

a(17) > 10^12. [Donovan Johnson, Oct 13 2009]

a(20) > 2.64x10^15. - Jud McCranie, Mar 27 2019

Examples

			a(3)=a(4) = 20 as tau(20) > tau(21) = tau(22) > tau(23).
		

Crossrefs

Cf. A075028, A075029, A075046.

Extensions

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 19 2003

a(11)-a(16) from Donovan Johnson, Oct 13 2009

a(17)-a(19) from Jud McCranie, Mar 27 2019