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

1,2

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

Links

Table of n, a(n) for n=1..19.

Example

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

Crossrefs

Cf. A075028, A075029, A075046.

Sequence in context: A221921 A012739 A261753 * A273466 A278938 A303157

Adjacent sequences: A075028 A075029 A075030 * A075032 A075033 A075034

Keyword

nonn,more

Author

Amarnath Murthy, Sep 02 2002

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

Status

approved