mersenneforum.org

mersenneforum.org (https://www.mersenneforum.org/index.php)
-   Lounge (https://www.mersenneforum.org/forumdisplay.php?f=7)
-   -   Number of miles in a light year is prime! (https://www.mersenneforum.org/showthread.php?t=16433)

Stargate38 2012-01-08 19:35

Number of miles in a light year is prime!
 
Did you know that the number of miles in a light-year, rounded to the nearest integer, is prime? Here's the number:

5874601673407

The real value is 5874601673407+2/(11*127) miles. Google doesn't show any results for "5874601673407 prime number", so I guess no one knew.

diamonddave 2012-01-08 19:45

[QUOTE=Stargate38;285424]Did you know that the number of miles in a light-year, rounded to the nearest integer, is prime? Here's the number:

5874601673407

The real value is 5874601673407+2/(11*127) miles. Google doesn't show any results for "5874601673407 prime number", so I guess no one knew.[/QUOTE]

Is it this year light year? Because this year we have a leap second on June 30th.

Stargate38 2012-01-08 19:56

It's the definition for a non-leap-year. In other words, it worked for 2009, 2010, and 2011, and it will also work for 2013, 2014, 2015, and every year that isn't of the form 4*x

Mini-Geek 2012-01-08 20:14

According to Wikipedia, a [URL="http://en.wikipedia.org/wiki/Light-year"]light year[/URL] is actually defined as the distance light travels in one Julian year, i.e. 365.25 days precisely, (regardless of leap years and leap seconds) which is about 5,878,625,373,183.608 miles. [URL="http://factordb.com/index.php?id=5878625373183"]5878625373184[/URL] = 2[SUP]10[/SUP] * 5107 * 1124113. You've given the distance for [URL="http://www.wolframalpha.com/input/?i=365.0000000000000+light+days+in+miles"]365 light days[/URL]. While still an interesting bit of trivia, that likely explains the lack of others noting it previously (at least, as far as you could find).

Dubslow 2012-01-08 20:40

[QUOTE=Mini-Geek;285431] [URL="http://factordb.com/index.php?id=5878625373184"]5878625373184[/URL][/QUOTE]

fixd

Flatlander 2012-01-08 21:46

This thread could be why we don't attract women.

ATH 2012-01-09 01:04

I'm not sure what is the official definition of a lightyear, there are many different values:

Wikipedia: 5,878,625,373,183.608 miles (9,460,730,472,580.8 km)
Online Conversion: [URL="http://www.onlineconversion.com/length_all.htm"]http://www.onlineconversion.com/length_all.htm[/URL]
Light year (Julian): 5,878,625,373,200 miles (9,460,730,472,600 km)
Light year (Tropical): 5,878,499,814,100 miles (9,460,528,404,900 km)
Light year (traditional): 5,874,601,673,400 miles (9,454,254,955,500 km)

My old Texas TI-85 calculator conversion: 5,878,499,814,135.1 miles (9,460,528,404,879.4 km)

science_man_88 2012-01-09 01:44

[QUOTE=ATH;285452]I'm not sure what is the official definition of a lightyear, there are many different values:

Wikipedia: 5,878,625,373,183.608 miles (9,460,730,472,580.8 km)
Online Conversion: [URL="http://www.onlineconversion.com/length_all.htm"]http://www.onlineconversion.com/length_all.htm[/URL]
Light year (Julian): 5,878,625,373,200 miles (9,460,730,472,600 km)
Light year (Tropical): 5,878,499,814,100 miles (9,460,528,404,900 km)
Light year (traditional): 5,874,601,673,400 miles (9,454,254,955,500 km)

My old Texas TI-85 calculator conversion: 5,878,499,814,135.1 miles (9,460,528,404,879.4 km)[/QUOTE]

[url]http://www.google.ca/search?sourceid=chrome&ie=UTF-8&q=define%3Alight+year#hl=en&q=light+year&tbs=dfn:1&tbo=u&sa=X&ei=MkYKT6HhD8f-ggeSsayhAg&ved=0CDQQkQ4&bav=on.2,or.r_gc.r_pw.,cf.osb&fp=e2d3beeb13884780&biw=1600&bih=775[/url]

LaurV 2012-01-09 02:01

[QUOTE=Flatlander;285443]This thread could be why we don't attract women.[/QUOTE]
:ick: 13 points for the joke! (could not give 10, is not prime, and 11 is not an exponent of a mersenne prime...). Nice one! But next time, talk in your name only :yucky::redface:

Dubslow 2012-01-09 02:13

[QUOTE=ATH;285452]I'm not sure what is the official definition of a lightyear, there are many different values:

Wikipedia: 5,878,625,373,183.608 miles (9,460,730,472,580.8 km)
Online Conversion: [URL="http://www.onlineconversion.com/length_all.htm"]http://www.onlineconversion.com/length_all.htm[/URL]
Light year (Julian): 5,878,625,373,200 miles (9,460,730,472,600 km)
Light year (Tropical): 5,878,499,814,100 miles (9,460,528,404,900 km)
Light year (traditional): 5,874,601,673,400 miles (9,454,254,955,500 km)

My old Texas TI-85 calculator conversion: 5,878,499,814,135.1 miles (9,460,528,404,879.4 km)[/QUOTE]
[url]http://www.iau.org/public/measuring/[/url]
[quote]For studies of the structure of the Milky Way, our local galaxy, the parsec (pc) is the usual choice. This is equivalent to about 30.857×1012 km, or about 206,000 AUs, and is itself defined in terms of the AU – as the distance at which one Astronomical Unit subtends an angle of one arcsecond. Alternatively the light-year (ly) is sometimes used in scientific papers as a distance unit, although its use is mostly confined to popular publications and similar media. The light-year is roughly equivalent to 0.3 parsecs, and [b]is equal to the distance traveled by light in one Julian year in a vacuum, according to the IAU. To think of it in easily accessible terms, the light-year is 9,460,730,472,580.8 km or 63,241 AU.[/b][/quote]

Mini-Geek 2012-01-09 02:17

[QUOTE=ATH;285452]I'm not sure what is the official definition of a lightyear...[/QUOTE]

Wikipedia's source is [url]http://www.iau.org/public/measuring/[/url], which looks official enough to me! Besides defining the "year" as 365.25 days, it gives the distance in KM, which converts to the number I gave.
Of course, non-standard usages can be used anyway (and are, given your links; which also show a level of precision too low to give the precise integer), but regardless, an official standard definition exists.


All times are UTC. The time now is 22:36.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.