id:A072633 - OEIS Search Results

Search: id:A072633

Displaying 1-1 of 1 results found.

page 1

Smallest positive integer m where 1^n+2^n+3^n+...+m^n is greater than or equal to (m+1)^n.

+0
2

1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 15, 17, 18, 20, 21, 23, 24, 26, 27, 28, 30, 31, 33, 34, 36, 37, 39, 40, 41, 43, 44, 46, 47, 49, 50, 51, 53, 54, 56, 57, 59, 60, 62, 63, 64, 66, 67, 69, 70, 72, 73, 75, 76, 77, 79, 80, 82, 83, 85, 86, 88, 89, 90, 92, 93, 95, 96, 98, 99, 101 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`The two trivial cases of equality are n=0, m=1 and n=1, m=2, i.e. 1^0=2^0 and 1^1+2^1=3^1. The references state that there are no other equalities for m<10^2000000.`
	REFERENCES	`R. K. Guy, Unsolved Problems in Number Theory, D10.`
	LINKS	`Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.`
	EXAMPLE	`a(3)=5 since 1^3+2^3+3^3+4^3<5^3 but 1^3+2^3+3^3+4^3+5^3>=6^3, i.e. since 100<125 but 225>=216.`
	CROSSREFS	`Close to A037087 (offset).` `Sequence in context: A059539 A078934 A056127 this_sequence A037087 A062005 A039018` `Adjacent sequences: A072630 A072631 A072632 this_sequence A072634 A072635 A072636`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Jun 28 2002`

page 1

Search completed in 0.002 seconds

Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

AT&T Labs Research