Largest prime number

I have been thinking for a long time, yet I cannot discover wether there is a prime number that is greater than all the others. What do you think?

>>6
There is no infinity you kike-brainwashed toilet scrubber.

>>7
You should be able to mention the last number then.

Fuck off, fagshit.

>>7
There might not be an infinity, but if you give me a list of prime number I will always be able to give you one more.

>>8

∞ - 1

>>10
There is no infinity
You're not helping >>8-kun like that

I meant >>7-kun

prime numbers are as great as infinity

I know the largest prime, but you've probably never heard of it.

ONE WORD: THE FORCED FINITIZATION OF MATHEMATICS, THREAD OVER.

>>8
It depends on the domain in which the numbers are being used. Infinity is bullshit spewed by idiots who are of a long line of idiots who go all the way back to the mathematical realism told by the pederast Plato. There is no unifying property of math that are true in every domain, much less a universal property that can be used to stretch forever like you retards believe. If you are working on a 32 bit computer architecture, then the highest number is 2^32. If you are using software to represent them, then the highest number is the highest number you can get without running out of memory. If you are doing physics, then the highest temperature is that which can be reached before the matter is reduced to pure energy. Even if you could keep heating it, you would run out of energy in the universe and that would be the highest number. Also in physics, the highest speed is the speed of light. It makes no sense to say 'infinite speed' because the universe would break down.

^₆₆The obvious mathematical breakthrough would be the development of an easy way to factor large prime numbers^₉₉[1]

_{_____________________________________}
^[1] - ^{(Gates, The Road Ahead, 1995, p. 265).}

>>16
Z can be used to analyze Z/(2^32)Z. The lack of bounds actually make things simpler. Then theorems that hold for Z can be brought down to Z/(2^32)Z in various ways, and visa versa. There is a bridge between the two.

>>18
fuck you jewstorm

>>16
you clearly don't understand the concept of infinity.

>>20
ey has a point. Sometimes the model breaks down. But the solution is to just use an appropriate model and argue for its relevance. Then make sure all statements on the model will hold given its restrictions.

>>21
ey
u mena ``e''

Learn your gender neutral pronouns, ``faggot''.

there is no `model' for infinity.

>>21
ey
It's ,,they'' you fucking piece of shit.

Sure, ultrafinitism is retarded, but is it Abelson retarded?

Suppose the number of primes is finite: p₁, p₂, ..., p_k, and let n be the product of all these primes. n - 1 > p_k so is not prime, so there is some i such that p_i divides n - 1. Since p_i also divides n, p_i divides n - (n - 1) = 1, which is absurd. Thus the number of primes is infinite.
http://www.hermetic.ch/pns/proof.htm

>>26
Beautiful!

>>16
Now I understand why they call her Jewkari.

You're saying everything has a lower and upper bound.

Yukari could remove the bounds, making something effectively infinite. Thus, Yukari is a Jew.

Terrible!

>>16
It should be easy for you to tell us the biggest number, since we live in a finite world and it's absolutely true that we will never need a number greater than the biggest number you're about to tell us.

43,154,247,973,881,626,
480,552,355,163,379,198,390,539,350,432,267,115,051,652,505,414,033,306,801,
376,580,911,304,513,629,318,584,665,545,269,938,257,648,835,317,902,217,334,
584,413,909,528,269,154,609,168,019,007,875,343,741,396,296,801,920,114,486,
480,902,661,414,318,443,276,980,300,066,728,104,984,095,451,588,176,077,132,
969,843,762,134,621,790,396,391,341,285,205,627,619,600,513,106,646,376,648,
615,994,236,675,486,537,480,241,964,350,295,935,168,662,363,909,047,948,347,
692,313,978,301,377,820,785,712,419,054,474,332,844,529,183,172,973,242,310,
888,265,081,321,626,469,451,077,707,812,282,829,444,775,022,680,488,057,820,
028,764,659,399,164,766,265,200,900,561,495,800,344,054,353,690,389,862,894,
061,792,872,011,120,833,614,808,447,482,913,547,328,367,277,879,565,648,307,
846,909,116,945,866,230,169,702,401,260,240,187,028,746,650,033,445,774,570,
315,431,292,996,025,187,780,790,119,375,902,863,171,084,149,642,473,378,986,
267,503,308,961,374,905,766,340,905,289,572,290,016,038,000,571,630,875,191,
373,979,555,047,468,154,333,253,474,991,046,248,132,504,516,341,796,551,470,
575,481,459,200,859,472,614,836,213,875,557,116,864,445,789,750,886,277,996,
487,304,308,450,484,223,420,629,266,518,556,024,339,339,190,844,368,921,018,
424,844,677,042,727,664,601,852,914,925,277,280,922,697,538,426,770,257,333,
928,954,401,205,465,895,610,347,658,855,386,633,902,546,289,962,132,643,282,
425,748,035,786,233,580,608,154,696,546,932,563,833,327,670,769,899,439,774,
888,526,687,278,527,451,002,963,059,146,963,875,715,425,735,534,475,979,734,
463,100,678,367,393,327,402,149,930,968,778,296,741,391,514,599,602,374,213,
629,898,720,611,431,410,402,147,238,998,090,962,818,915,890,645,693,934,483,
330,994,169,632,295,877,995,848,993,366,747,014,871,763,494,805,549,996,163,
051,541,225,403,465,297,007,721,146,231,355,704,081,493,098,663,065,733,677,
191,172,853,987,095,748,167,816,256,084,212,823,380,168,625,334,586,431,254,
034,670,806,135,273,543,270,714,478,876,861,861,983,320,777,280,644,806,691,
125,713,197,262,581,763,151,313,596,429,547,763,576,367,837,019,349,835,178,
462,144,294,960,757,190,918,054,625,114,143,666,384,189,433,852,576,452,289,
347,652,454,631,535,740,468,786,228,945,885,654,608,562,058,042,468,987,372,
436,921,445,092,315,377,698,407,168,198,376,538,237,748,614,196,207,041,548,
106,379,365,123,192,817,999,006,621,766,467,167,113,471,632,715,481,795,877,
005,382,694,393,400,403,061,700,457,691,135,349,187,874,888,923,429,349,340,
145,170,571,716,181,125,795,888,889,277,495,426,977,149,914,549,623,916,394,
014,822,985,025,331,651,511,431,278,802,009,056,808,456,506,818,877,266,609,
831,636,883,884,905,621,822,262,933,986,548,645,669,080,672,191,704,740,408,
891,349,835,685,662,428,063,231,198,520,436,826,329,415,290,752,972,798,343,
429,446,509,992,206,368,781,367,154,091,702,655,772,727,391,329,424,277,529,
349,082,600,585,884,766,523,150,957,417,077,831,910,016,168,475,685,658,673,
192,860,882,070,179,760,307,269,849,987,354,836,042,371,734,660,257,694,347,
235,506,301,744,118,874,141,292,438,958,141,549,100,609,752,216,882,230,887,
611,431,996,472,330,842,380,137,110,927,449,483,557,815,037,586,849,644,585,
749,917,772,869,926,744,218,369,621,137,675,101,083,278,543,794,081,749,094,
091,043,084,096,774,144,708,436,324,279,476,892,056,200,427,227,961,638,669,
149,805,489,831,121,244,676,399,931,955,371,484,012,886,360,748,706,479,568,
669,048,574,782,855,217,054,740,113,945,929,622,177,502,575,565,811,067,452,
201,448,981,991,968,635,965,361,551,681,273,982,740,760,138,899,638,820,318,
776,303,668,762,730,157,584,640,042,798,880,691,862,640,268,612,686,180,883,
874,939,573,818,125,022,279,689,930,267,446,255,773,959,542,469,831,637,863,
000,171,279,227,151,406,034,129,902,181,570,659,650,532,600,775,823,677,398,
182,129,087,394,449,859,182,749,999,007,223,592,423,334,567,850,671,186,568,
839,186,747,704,960,016,277,540,625,331,440,619,019,129,983,789,914,712,515,
365,200,336,057,993,508,601,678,807,687,568,562,377,857,095,255,541,304,902,
927,192,220,184,172,502,357,124,449,911,870,210,642,694,565,061,384,919,373,
474,324,503,966,267,799,038,402,386,781,686,809,962,015,879,090,586,549,423,
504,699,190,743,519,551,043,722,544,515,740,967,829,084,336,025,938,225,780,
730,880,273,855,261,551,972,044,075,620,326,780,624,448,803,490,998,232,161,
231,687,794,715,613,405,793,249,545,509,528,052,518,010,123,087,258,778,974,
115,817,048,245,588,971,438,596,754,408,081,313,438,375,502,988,726,739,523,
375,296,641,615,501,406,091,607,983,229,239,827,240,614,783,252,892,479,716,
519,936,989,519,187,808,681,221,191,641,747,710,902,480,633,491,091,704,827,
441,228,281,186,632,445,907,145,787,138,351,234,842,261,380,074,621,914,004,
818,152,386,666,043,133,344,875,067,903,582,838,283,562,688,083,236,575,482,
068,479,639,546,383,819,532,174,522,502,682,372,441,363,275,765,875,609,119,
783,653,298,312,066,708,217,149,316,773,564,340,379,289,724,393,986,744,139,
891,855,416,612,295,739,356,668,612,658,271,234,696,438,377,122,838,998,040,
199,739,078,061,443,675,415,671,078,463,404,673,702,403,777,653,478,173,367,
084,844,734,702,056,866,636,158,138,003,692,253,382,209,909,466,469,591,930,
161,626,097,920,508,742,175,670,306,505,139,542,860,750,806,159,835,357,541,
032,147,095,084,278,461,056,701,367,739,794,932,024,202,998,707,731,017,692,
582,046,210,702,212,514,120,429,322,530,431,789,616,267,047,776,115,123,597,
935,404,147,084,870,985,465,426,502,772,057,300,900,333,847,905,334,250,604,
119,503,030,001,704,002,887,892,941,404,603,345,869,926,367,501,355,094,942,
750,552,591,581,639,980,523,190,679,610,784,993,580,896,683,299,297,681,262,
442,314,008,657,033,421,868,094,551,740,506,448,829,039,207,316,711,307,695,
131,892,296,593,509,018,623,094,810,557,519,560,305,240,787,163,809,219,164,
433,754,514,863,301,000,915,916,985,856,242,176,563,624,771,328,981,678,548,
246,297,376,249,530,251,360,363,412,768,366,456,175,077,031,977,457,534,912,
806,433,176,539,995,994,343,308,118,470,147,158,712,816,149,394,421,276,614,
228,262,909,950,055,746,981,053,206,610,001,560,295,784,656,616,193,252,269,
412,026,831,159,508,949,671,513,845,195,883,217,147,982,748,879,261,851,417,
819,979,034,417,285,598,607,727,220,866,677,680,426,090,308,754,823,803,345,
446,566,305,619,241,308,374,452,754,668,143,015,487,710,877,728,011,086,004,
325,892,262,259,413,968,285,283,497,045,571,062,757,701,421,761,565,262,725,
153,407,407,625,405,149,931,989,494,459,106,414,660,534,305,378,576,709,862,
520,049,864,880,961,144,869,258,603,473,714,363,659,194,013,962,706,366,851,
389,299,692,869,491,805,172,556,818,508,298,824,954,954,815,796,063,169,517,
658,741,420,159,798,754,273,428,026,723,452,481,263,569,157,307,213,153,739,
781,041,627,653,715,078,598,504,154,797,287,663,122,946,711,348,158,529,418,
816,432,825,044,466,692,781,137,474,494,898,385,064,375,787,507,376,496,345,
148,625,306,383,391,555,145,690,087,891,955,315,994,462,944,493,235,248,817,
599,907,119,135,755,933,382,121,706,191,477,185,054,936,632,211,157,222,920,
331,148,502,487,563,303,118,018,805,685,073,569,841,580,518,118,710,778,653,
953,571,296,014,372,940,865,270,407,021,924,383,167,290,323,231,567,912,289,
419,486,240,594,039,074,452,321,678,019,381,871,219,092,155,460,768,444,573,
578,559,513,613,304,242,206,151,356,457,513,937,270,939,009,707,237,827,101,
245,853,837,678,338,161,023,397,586,854,894,230,696,091,540,249,987,907,453,
461,311,923,963,852,950,754,758,058,205,625,956,600,817,743,007,191,746,812,
655,955,021,747,670,922,460,866,747,744,520,875,607,859,062,334,750,627,098,
328,593,480,067,789,456,169,602,494,392,813,763,495,657,599,847,485,773,553,
990,957,557,313,200,809,040,830,036,446,492,219,409,934,096,948,730,547,494,
301,216,165,686,750,735,749,555,882,340,303,989,874,672,975,455,060,957,736,
921,559,195,480,815,514,035,915,707,129,930,057,027,117,286,252,843,197,413,
312,307,617,886,797,506,784,260,195,436,760,305,990,340,708,481,464,607,278,
955,495,487,742,140,753,570,621,217,198,252,192,978,869,786,916,734,625,618,
430,175,454,903,864,111,585,429,504,569,920,905,636,741,539,030,968,041,471

>>30
Is this one of those illegal primes?

Welp, time to dban my hard drive.

>>31
How can a number be illegal?

>>32
https://en.wikipedia.org/wiki/Illegal_number

>>33
Woah... that actually makes sense.

So somewhere on the web, illegal stuff like CP is probably being shared openly just by posting numbers, right?

>>34
Would you believe me if I told you that all data can be represented as a string of numbers?

wait what the fuck

microsoft excel, for instance, can be represented by one single big ass number?

what's 4chan's number?

>>35
Not without blowing my mind... does that mean that life itself can be boiled down to numbers? When I walk down the street to the store, are there numbers behind each step? Behind each breath I take? Shit's crazy.

>>33
But as the sum of what we all know and agree, the wisdom of crowds has no greater value than Trivial Pursuit. Wikipedia is full of mistakes, half truths and misunderstandings.

So if an image can be represented by a number, does that mean there are certain functions behind some images?

If I posted an image, how would you find it's numerical representation?

>>37
https://dis.4chan.org/read/prog/1350710985/
May be relevant to your interests.

>>39
_{data:image/png;base64,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}

Paste that into your browser's address bar.

>>41
javascript: and data: URIs typed or pasted in the address bar are disabled to prevent social engineering attacks.
No thank you!

>>42
What the fuck is a ``social engineering attack''?

>>37
We use binary computers.
Every binary number has a base 10 representation.

You can't be this fucking retarded, of course you can represent anything binary with a huge ass number.

>>43
Are you serious?
http://en.wikipedia.org/wiki/Social_engineering_(security)
Fuck off back to /g/, retard.

>>45
I know what social engineering is, but how do you do an ``attack'', particularly through use of a data: URI?

>>46
``hey faggot look at this cool pic of a le base64 reddit XD''
and it's actually a javashit script, like those they use for spamming freenode and the one they used to spam the imageboards a few years ago

>>47
But they begin with a MIME type.

And why block that client-side?

Why not block http:// URLs? I hear sometimes those ask for your credit card number!

>>33,40
https
Terrible!

So somewhere on the web, illegal stuff like CP is probably being shared openly just by posting numbers, right?
http://sageru.org/kareha.pl/1180582751/

>>48
But they begin with a MIME type.
you think normal people know what a MIME type is?

>>51
They're the guys in striped shirts that don't talk. Everybody knows that.

>>50
not clicking that

>>53
fuck off paranoid fagstorm

it's a stupid textboard
if you're so paranoid, you should have noscript, so you should be safe

you know what, go jump in a lake of jewish cut dicks

you know what, go jump in a lake of jewish cut dicks
I don't think I have one of those nearby, time to do some cutting…

>>53
Your browser probably already preloaded it.

>>56
What kind of shit browser preloads random links?

>>57
There are image board extensions that do this. No joke.

>>57
The kind of shit browser a moron like you would use.

>>58
Extensions.

>>59
fuck off fagfuckingcockdickshit

soo, >>30, what is it? .jpg.gz again, or regular prime number?

Wait, aren't prime only based of the base 10 notation?

If so, then don't we have to start a base 16 prime algorithms?

I wonder if we can make one better than Mersenne prime using base changes, assume by headache is correct.

I cannot seem to mentally express 0111 is divisible by 0010, so 0111 is not a prime.

>>63
Wait, aren't prime only based of the base 10 notation?
Of course not, a prime is a prime in all bases.

>>64
Not in the the bases I command!

Wait, aren't prime only based of the base 10 notation?

Holy fuck this guy is retarded as a Redditshit

>>62
.jpg.gz again? Explain.

>>63
This is why I ask my bank to convert my balance to base-8, because it means I get more money.

>>67
See >>50.

>>69
Not clicking that.

>>70
I guess you won't get an explanation, then.

>>41
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gret snek

derp snake looks a faggot

Have you read le SICP today?

>>77
largest dubs

mine

have you tried symta?

>>38
But as the sum of what we all know and agree, the wisdom of crowds has no greater value than Trivial Pursuit. Wikipedia is full of mistakes, half truths and misunderstandings.
Crows are wise birds.

>>16

he didn't ask what the highest prime in the universe is, more likely he's asking mathematically which doesn't actually exist so infinite is a valid answer.

Infinity exists. It's real. WTF are you idiots talking about.

>>81

oh ya jerkoff? have you SEEN infinity before?

>>82
I don't need proof; Yahweh has spoken to his chosen people, a glorious message of the neverending sequence.

>>82
No, but I've never seen carbon molecules floating around in the air either.

>>83

holy shit i just choked on my coffee

If infinity doesn't exist, how do you measure 'distance', if pythagoras depends on infinity?

If infinity doesn't exist, how many times can I cut a piece of wood in half?

If infinity doesn't exist, why do I drive one?

If infinity doesn't exist, what is n+1?

>>86-89
You have my undying love, /prog/.

The world is not a matrix of discrete states. the world is a continuous infinity of points.

if infinity doesn't exist, what is Π? what is circle?

>>92
Π denotes product-of-series. It is not a number.

Neither is a circle. What are you on?

if infinity doesnt exist, how many points are there on a line?

>>94
4294967296.

no

>>93
Let's assume he means pi.

What's the last number of pi, ``finitist'' faggot?

Guys, its just the shit-spammer again, dont reply.

>>98
How do you pronounce your dumb name?

Is it viper? As in, "viper? I barely know her!"
or is it vipper as in, "Ouch! I just caught my foreskin in my zipper!"

^^
<..>
 WW -- faggot

VIPPER QUALITY

Saying that there is an infinite number of primes is not the same thing as saying there is no largest prime.

``There is no largest prime'' is a true statement and completely valid and provable under finitistic mathematics as defined by algebraic topology: a semi-ring representing the natural numbers. ``There are infinite number of primes'' is a false statement under rigorous finitistic mathematics (the only kind which is worth considering as realistic), although informally the word "infinite" could be interpreted as a metaphor for a non-halting recursive process that generates prime numbers.

/thread

>>102 never took a real analysis university mathematics class.

>>103
Actually, I did.

http://www.youtube.com/watch?v=Kcyitn0LHSM&t=11m54s

>>102
How do you solve integrals without infinitesimals?

>>104
Oh look, it's that lecture again.

It's true, it would be retarded to call int ``the set of all the integers'' and = the ``pick out the integer to the right side from the infinite set''.

That doesn't mean infinity can't be treated as an useful concept in mathematics, though. You can't simply say irrational numbers are worth shit because they're not infinite after all, you can't simply say imaginary numbers are worth shit because i isn't an actual number, and you can't say negative numbers are worth shit because you can't have -2 apples.