The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A343375

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A343375

a(n) is the least k such that Sum_{i=1..k} (i/prime(i))^n > 1.
(history; published version)

#16 by Jon E. Schoenfield at Tue Jan 25 02:01:09 EST 2022

STATUS

editing

approved

#15 by Jon E. Schoenfield at Tue Jan 25 02:01:05 EST 2022

EXAMPLE

(1/2)^2 + (2/3)^2 < 1, but (1/2)^2 + (2/3)^2 + (3/5)^2 > 1.

(1/2)^3 + (2/3)^3 + (3/5)^3 + (4/7)^3 + (5/11)^3 + (6/13)^3 > 1.

STATUS

approved

editing

#14 by Peter Luschny at Tue May 04 11:10:57 EDT 2021

STATUS

reviewed

approved

#13 by Michel Marcus at Tue May 04 11:07:38 EDT 2021

STATUS

proposed

reviewed

#12 by Daniel Suteu at Tue May 04 11:04:36 EDT 2021

STATUS

editing

proposed

#11 by Daniel Suteu at Tue May 04 11:04:07 EDT 2021

DATA

2, 3, 6, 129, 107103, 19562634, 2433065908

EXTENSIONS

a(7) from Daniel Suteu, May 04 2021

STATUS

approved

editing

#10 by N. J. A. Sloane at Sat May 01 22:23:05 EDT 2021

STATUS

proposed

approved

#9 by Jon E. Schoenfield at Tue Apr 13 21:22:52 EDT 2021

STATUS

editing

proposed

#8 by Jon E. Schoenfield at Tue Apr 13 21:22:45 EDT 2021

NAME

a(n) is the least K k such that Sum_{i=1..Kk} (i/prime(i))^n > 1.

EXAMPLE

a(2)=3 because 3 terms are needed for a sum > 1:

a(3)=6 because 6 terms are needed for a sum > 1:

STATUS

proposed

editing

Discussion

Tue Apr 13

21:22

Jon E. Schoenfield: Okay?

#7 by Alex Ratushnyak at Tue Apr 13 07:55:55 EDT 2021

STATUS

editing

proposed