Comments on: A brain teaser to the end of times

By: suineg

suineg — Fri, 17 Oct 2008 12:56:19 +0000

thanks MichaelC; my error was assuming that in every century you have 25 leap years and 75 normal years; because I did not know that if a year was divisible by 100 but not by 400 is not considered a leap year, cool, everyday is a good time to learn new things thanks.

By: michaelc

michaelc — Fri, 17 Oct 2008 02:05:28 +0000

Hi Suineg,

Pehaps this will shed some sort of flickering light on the subject…

With a little help from Wiki…

Julian calendars had a leap year every 4 years, but Gregorian calendar corrected the Julian calendar by a little bit. Years that are divisible by 100, are not leap years unless, they are divisible by 400 years. Such as the year 1900 was not a leap year, but the year 2000 is in fact a leap year.

1/1/2001 was on a Monday.
There were 24 leap years, and 76 regular years from 1/1/2001 to 1/1/2101.

24*366 + 76*365 = 8784 + 27740 = 36524 days

36,519 + 5 = 5217 weeks and 5 days. 1/1/2101 was on a Saturday.

Same scenario from 1/1/2101 to 1/1/2201. 1/1/2201 was on a Thursday (Saturday + 5 days).

Same scenario again from 1/1/2201 to 1/1/2301. 1/1/2301 was on a Tuesday.

Different Scenario from 1/1/2301 to 1/1/2401, because the year 2400 is divisible by 400.

25 leap years, 75 regular years.
25*366 + 75*365 = 9150 + 27375 = 36525
5217 weeks and 6 days.

Which means 1/1/2401 is again on a Monday, and the cycle repeats.

Clear as mud?

By: suineg

suineg — Thu, 16 Oct 2008 18:58:04 +0000

MattHogan gave me a good explanation of what could be wrong, however I review my calculations and I think I took that in consideration, I know something is wrong for the cycling every 400 years, however can someone please tell me what was wrong in my reasoning?

By: michaelc

michaelc — Mon, 06 Oct 2008 16:26:53 +0000

Ah, nevermind.

I researched it on wiki. There was no year 0, only 1 BC, and then 1 AD. So the first century was 1AD – 100AD, and so forth.

Maybe there was no 12:00 minute on the first day.

By: michaelc

michaelc — Mon, 06 Oct 2008 13:39:52 +0000

I notice some folks, (actually the majority I think), got their start of the century as 1/1/XX01. So I’d guess you’d probably be right, but just me thinking about it, I’d think it’s like 12AM, and 12 PM. at 11:59PM you’re still in PM, but when the clock strikes 12:00 you’re in AM. Same logic with the century deal.

Can someone else explain the difference logic for the XX01 being the turn of the century?

By: suineg

suineg — Mon, 06 Oct 2008 13:32:12 +0000

thanks MattHogan, that might be it, because I thought that leap years occur every 4 years without any interruption, the series I propose counts like that, but it seems to be irregularities in the positions of days, jumping some days( sunday included),I think that might because the leap years dont occur every 4 years or because it also occur on some other irregular times like every 400 years; however 4*100= 400 seems like included in my reasoning but maybe its not, cool.

By: MattHogan

MattHogan — Mon, 06 Oct 2008 11:50:54 +0000

suineg, I believe you forgot about the leap years that occur every 400 years. Which might cause some problems in that heap of calculations. I could be wrong though, since I didn’t look at your work very thoroughly.

By: suineg

suineg — Fri, 03 Oct 2008 18:42:26 +0000

WOW MAYBE I AM FAMILY OF NOSTRADAMUS: “A PROBABLY BIG MISTAKE JAJAJA”. ok however can someone please tell me what is wrong with my reasoning, cause i could not see my error in it.

By: suineg

suineg — Fri, 03 Oct 2008 17:57:15 +0000

Ok, let me try it:
Info:
you have 25 leap years by century, by a milleniun you have 250 leap years, the leap years have 366 days.

the first day of 2008 was a tuesday.
the week has 7 days.
this century has 23 leap years remaining, including 2008
Logic(I guess):
+ 1 century:
23*366+ 69*365= 8418 + 25185 = 33603= 33600 + 3 = tuesday + 3= friday

+ 2 century:
25*366 + 75*365 = 9150 + 27375 = 36525= 36519 + 6 –> friday + 6 = thursday
Now for every new century you have a + 6 days to change the days of the next century so first days of the centuries of this millenium are:
friday; thursday; wednesday; tuesday; monday; sunday; saturday; friday; thursday ;wednesday
the chances for this millenium are 1/10
next millenium:
tuesday;monday;sunday;saturday;friday;thursday;wednesday;tuesday;monday;sunday
2/10
saturday; friday;thursday;wednesday;tuesday; monday;sunday;saturday;friday;thursday
jajaja this is hard; but there is a pattern; every millenium starts three days before the previous millenium;
and the probability is 2/10 if sunday is in the first 3 days of the millenium otherwise is 1/10 so: 1000: sunday 2,9; 2000: sunday 6, 3000: sunday 3,10; 4000: sunday 7;
5000: sunday 4; 6000: sunday 1,8; 7000: sunday 5; 8000; sunday 2,9; 9000: sunday 6; 10000: sunday 3,10
take the first 8 terms of the series:
2/10 (3) ; 1/10 (5) –> now a ponderate rate;
11/10/8; 11/80 this I think is the probability wow what a hard work to a “probably” big mistake jajajaja but cool.

By: RK

RK — Fri, 03 Oct 2008 17:05:28 +0000

Hi Suineg,
yes, I belive it means any new centure. thanks, RK

By: LaDana

LaDana — Fri, 03 Oct 2008 16:58:14 +0000

0% – Centuries never start on a Sunday

By: suineg

suineg — Fri, 03 Oct 2008 16:01:45 +0000

RK, I have a question, the problem say the first day of a new century, it mean any new century (2100; 2200 ; 2300; to infinity) like a geometric progression???

By: bilbao

bilbao — Fri, 03 Oct 2008 08:48:51 +0000

According to Julian calendar, there were 24 leap years in 17th, 18th and 19th centuries, which consisted of 36524 days. There were 25 leap years in 20th century as year 2000 was leap year and thus 20th century had 36525 days. From now onwards this cycle will keep repeating itself.
First day of 21st century, 01/01/2001 was Monday. For 3 centuries the first day will shift 5 days and the fourth century will shift 6 days.
Then: 22nd century-Saturday; 23rd-Thursday; 24th-Tuesday; 25th-Monday again
There will never be a first day of century on a Sunday (unless days are added or deleted from calendar, as it happened in october 1582)

By: Gray-T

Gray-T — Fri, 03 Oct 2008 07:09:51 +0000

based on experience, it always was on a Monday :-D

or I´ll put it like this: god created the world in 6 days, starting on Monday, and had a rest on the 7th, Sunday.
So the last apocalypse might have been beetween Sunday and Monday, because without a pre-apocalypse, god had not had a need at all to create a new one.

;-)

yes, I know, I´ve missed the point, again…

I guess, Suineg, got it in a snap.

By: Sue

Sue — Thu, 02 Oct 2008 20:49:28 +0000

The chances are 0% that it will happen on a Sunday or Wednesday or Friday. The Gregorian Calendar repeats every 400 years.