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Flawless Series? (Posted on 2003-11-29) Difficulty: 3 of 5
What are the next three numbers in this sequence? 6, 28, 496, 8128, ... ? Please explain how you determined these three numbers.

  Submitted by SilverKnight    
Rating: 2.8889 (9 votes)
Solution: (Hide)
The next three numbers in this sequence are:
33550336,
8589869056, and
137438691328.

These are the first few elements of the perfect numbers. Perfect numbers are those positive integers that equal the sum of all their factors (not including themselves).

For example,
6 = 1 + 2 + 3
28 = 1 + 2 + 4 + 7 + 14

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Some thoughts on the problemEd2007-10-19 20:04:28
my solutionEd2007-10-19 19:56:46
Some ThoughtsSome thoughts on the problemK Sengupta2007-04-07 11:19:45
moreLeming2006-02-22 19:54:42
wow..Amon2005-04-29 16:51:26
Penny. Childish and immature!john2005-03-14 17:14:21
?Minion1232003-12-11 23:12:02
New Mersenne prime discoveredPenny2003-12-11 22:17:23
Solutionm-e-hMinion1232003-12-01 22:50:41
Penny... I've had enough of thisSilverKnight2003-12-01 07:51:55
re: Penny... having trouble staying on task?SilverKnight2003-12-01 07:44:41
SilverKnight...there's nothing impressive about youPenny2003-12-01 07:32:06
Penny... having trouble staying on task?SilverKnight2003-12-01 07:27:16
No SubjectPenny2003-12-01 07:13:41
Penny - please stop changing previous postsSilverKnight2003-12-01 07:01:57
re: That's right, Penny!Penny2003-12-01 07:01:08
That's right, Penny!SilverKnight2003-12-01 06:58:23
QuestionThat's it, SilverKinghtPenny2003-12-01 06:53:01
re(9): Real AnswerSilverKnight2003-12-01 06:36:57
re(8): Real AnswerPenny2003-12-01 06:03:37
re(7): Real AnswerSilverKnight2003-12-01 05:57:03
re(6): Real AnswerPenny2003-12-01 05:44:48
re(5): Real AnswerSilverKnight2003-12-01 04:44:54
Some Thoughtsre(4): Real AnswerPenny2003-12-01 04:20:39
re(3): Real AnswerSilverKnight2003-12-01 00:23:08
Re: Let it beVictor Zapana2003-11-30 18:59:44
SolutionLet it beMinion1232003-11-30 18:56:26
re: The original post in this thread.....Gamer2003-11-30 18:37:56
Patterns in the Periodic Table of ElementsHal90002003-11-30 18:29:30
re: The original post in this thread.....rerun1412003-11-30 18:28:28
The original post in this thread.....Penny2003-11-30 18:05:41
re(2): Real AnswerHal90002003-11-30 18:02:18
re: Real AnswerCharlie2003-11-30 17:48:38
No SubjectHal90002003-11-30 16:47:54
Perfect ShmerfectHal90002003-11-30 16:43:07
re: Real AnswerHal90002003-11-30 16:38:13
re(2): deja vuGamer2003-11-30 16:37:57
Real AnswerHal90002003-11-30 16:37:32
re: deja vuPenny2003-11-30 16:23:38
deja vuTomM2003-11-30 16:12:57
re: About attacksPenny2003-11-30 16:12:29
About attacksGamer2003-11-30 15:54:58
re(4): In fact... (another solution)Victor Zapana2003-11-30 15:50:30
re(4): In fact... (another solution)Minion1232003-11-30 15:28:24
re(2): Explain...Charlie2003-11-30 15:26:44
re: Explain...Charlie2003-11-30 15:22:37
re(3): In fact... (another solution)Penny2003-11-30 15:17:01
re: In fact... (another solution)Penny2003-11-30 15:08:54
re(2): In fact... (another solution)Minion1232003-11-30 14:55:52
re: In fact... (another solution)Penny2003-11-30 14:22:03
Hints/Tipsre: Explain...Penny2003-11-30 13:34:10
QuestionExplain...Tristan2003-11-30 12:34:54
re(3): Penny: Smart enough to stay silentGamer2003-11-30 12:22:42
re(2): Penny: Too cheap to not be copper.Victor Zapana2003-11-30 11:25:19
SolutionIn fact... (another solution)Charlie2003-11-30 11:16:54
re: Penny: Too cheap to not be copper.Gamer2003-11-30 07:30:29
re: (unfortunately...) Penny always returnsSilverKnight2003-11-30 03:35:16
A good Penny always returns....Penny2003-11-30 03:16:15
Penny's thoughts... not worth her name...SilverKnight2003-11-29 20:28:57
re: Thanks for your thoughts!...Gamer2003-11-29 19:41:42
SK and Gamer, a Penny for your thoughts...Penny2003-11-29 18:54:01
re: A synonym forSilverKnight2003-11-29 17:52:08
re(3): And a synonym for this posting is......Gamer2003-11-29 17:04:59
re(2): And a synonym for this posting is......Penny2003-11-29 16:04:09
re: And a synonym for this posting is......Gamer2003-11-29 15:04:56
QuestionAnd a synonym for this posting is......Penny2003-11-29 14:17:35
SolutionA synonym for "FLAWLESS" is.......Penny2003-11-29 13:15:26
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