22 replies to this topic

[NomadRock]

The Prime Glossary said:

By Dirichlet's theorem on primes in arithmetic progression, we know that for each fixed integer b relatively prime to k, there are infinitely many primes ak+b.

Because gzip files are null terminated (and characters after that are ignored), if we choose a to be a power of 256 larger than b, the resulting number can still be unzipped to get the original file. This means there are infinitely many prime numbers which yield the same code. Phil proved that these include:

* k*2562+2083 and
* k*256211+99.

4
8565078965 7397829309 8418946942 8613770744 2087351357
9240196520 7366869851 3401047237 4469687974 3992611751
0973777701 0274475280 4905883138 4037549709 9879096539
5522701171 2157025974 6669932402 2683459661 9606034851
7424977358 4685188556 7457025712 5474999648 2194184655
7100841190 8625971694 7970799152 0048667099 7592359606
1320725973 7979936188 6063169144 7358830024 5336972781
8139147979 5551339994 9394882899 8469178361 0018259789
0103160196 1835034344 8956870538 4520853804 5842415654
8248893338 0474758711 2833959896 8522325446 0840897111
9771276941 2079586244 0547161321 0050064598 2017696177
1809478113 6220027234 4827224932 3259547234 6880029277
7649790614 8129840428 3457201463 4896854716 9082354737
8356619721 8622496943 1622716663 9390554302 4156473292
4855248991 2257394665 4862714048 2117138124 3882177176
0298412552 4464744505 5834628144 8833563190 2725319590
4392838737 6407391689 1257924055 0156208897 8716337599
9107887084 9081590975 4801928576 8451988596 3053238234
9055809203 2999603234 4711407760 1984716353 1161713078
5760848622 3637028357 0104961259 5681846785 9653331007
7017991614 6744725492 7283348691 6000647585 9174627812
1269007351 8309241530 1063028932 9566584366 2000800476
7789679843 8209079761 9859493646 3093805863 3672146969
5975027968 7712057249 9666698056 1453382074 1203159337
7030994915 2746918356 5937621022 2006812679 8273445760
9380203044 7912277498 0917955938 3871210005 8876668925
8448700470 7725524970 6044465212 7130404321 1826101035
9118647666 2963858495 0874484973 7347686142 0880529443

Oh noes

[Mihail121]

MUHAHAHAHA... Nomad.. budy... you almost killed me with that one..

[LuciferX]

I don't get it.........
But try these;]

You Might Be A Redneck Jedi Knight If...

You ever uttered the phrase, "May the force be with y'all."
Your Jedi robe is camouflage.
You have ever used the force in conjunction with fishing/bowling.
You have ever used your light saber to open a bottle of Boone's Farm Strawberry Hill.
At least one wing of your X-wing is primer colored.
You have bantha horns on the front of your landspeeder.
You describe the taste of an Ewok as "jus' like chicken."
You have ever had a B-wing up on blocks in your yard.
The worst part of spending time on planet Dagobah is "them dadgum skeeters."
Wookies are offended by your B.O.
You have ever used the force to get yourself another beer so you wouldn't have to wait for a commercial.
Your father has ever said to you, "Shoot, son, come on over to the dark side...it'll be a hoot!"
You have ever had your R-2 unit use its self-defense electro-shock thingy to get the barbecue grill to light.
You have a confederate flag painted on your flight helmet.
You ever fantasized about Princess Leia wearing Daisy Duke shorts.
You have the doors of your X-wing welded shut and you have to get in through the window.
You kinda think that Jabba the Hutt had a pretty good handle on how to treat his women.
You have ever accidentally referred to Darth Vader's evil empire "them damn Yankees."
You have a cousin who bears a strong resemblance to Chewbacca.
In your opinion, that Cee-Threepio fellow "just ain't right."
You suggested that they outfit the Millennium Falcon with a Lazy-Boy recliner.
The REAL reason you got into a fight in the cantina was because you ordered Bud Light...and they didn't have it.
You knew Princess Leia was your sister all along.