Today my computer found a 132-bit prime:

[Fri Apr 20 08:12:57 2012]
P-1 found a factor in stage #1, B1=10000000.
M798257 has a factor: 4593821825255405094261984523461159901759
k = 3 × 83 × 149 × 1163 × 1223 × 16561 × 794033 × 1425649 × 2908519

I'm running B1 = 10M, B2 = 200M for all numbers in the range 790K to 800K and this is the 7th prime found so far.

New P-1 all time high in this thread
 

[QUOTE=Brain;284711]How could I miss that... Sorry. Beat this![/QUOTE]

[QUOTE=alpertron;296925]Today my computer found a 132-bit prime:

[Fri Apr 20 08:12:57 2012]
P-1 found a factor in stage #1, B1=10000000.
M798257 has a factor: 4593821825255405094261984523461159901759
k = 3 × 83 × 149 × 1163 × 1223 × 16561 × 794033 × 1425649 × 2908519

I'm running B1 = 10M, B2 = 200M for all numbers in the range 790K to 800K and this is the 7th prime found so far.[/QUOTE]

It is prime. So, we have a new thread local record... Congrats!

[FONT=&quot]Found a notable one starting out my 84M run...
M84004787 has a factor: [B]12824399621243547529430624238490771516609 [/B]
k=2 ^ 5 x 3 x 313 x 4657 x [B]545482978807033815692147
[/B]Factors were-[/FONT][FONT=&quot][B]130229148576592177313 [/B]and [/FONT][FONT=&quot][B]98475646669079490593[/B], both found while taking to 67 bits. [B]XD[/B]
[/FONT]

[QUOTE=c10ck3r;297146][FONT=&quot]Found a notable one starting out my 84M run...
M84004787 has a factor: [B]12824399621243547529430624238490771516609 [/B]
k=2 ^ 5 x 3 x 313 x 4657 x [B]545482978807033815692147
[/B]Factors were-[/FONT][FONT=&quot][B]130229148576592177313 [/B]and [/FONT][FONT=&quot][B]98475646669079490593[/B], both found while taking to 67 bits. [B]XD[/B]
[/FONT][/QUOTE]

The notable part is that your misunderstanding of the "k" concept. :devil:

[QUOTE=c10ck3r;297146][FONT=&quot]Found a notable one starting out my 84M run...
M84004787 has a factor: [B]12824399621243547529430624238490771516609 [/B]
< snip >
Factors were-[/FONT][FONT=&quot][B]130229148576592177313[/B][/FONT][/QUOTE][FONT=&quot]k = [/FONT] 2[sup]4[/sup] [COLOR=green]×[/COLOR] 48445583143[FONT=&quot]

[/FONT][QUOTE]and [FONT=&quot][B]98475646669079490593[/B][/FONT][/QUOTE][FONT=&quot]k = [/FONT] 2[sup]4[/sup] [COLOR=green]×[/COLOR] 36633197563

[QUOTE=ckdo;297175]The notable part is that your misunderstanding of the "k" concept. :devil:[/QUOTE]

But [FONT=&quot][B]12824399621243547529430624238490771516609[/B][/FONT] = 2 [COLOR=green]×[/COLOR] (2[sup]5[/sup][COLOR=green]×[/COLOR]3[COLOR=green]×[/COLOR]313[COLOR=green]×[/COLOR]4657[COLOR=green]×[/COLOR][URL="http://wims.unice.fr/wims/wims.cgi?session=NK0946EC05.16&cmd=reply&calc=check&check=545482978807033815692147"]545482978807033815692147[/URL]) [COLOR=green]×[/COLOR] 84004787 + 1, so that k does have meaning, too. Even though composite, this factor is of the form 2kp + 1.

(Now, that last k should not be compared to either of the preceding k's on some equal basis, because it's algebraically derivable from them, as Dubslow shows below.)

[tex](2kp+1)*(2mp+1) = 4(km)(p^2)+2p(m+k)+1 = 2(2kmp+m+k)p+1 = 2(m[2kp+1]+k)p+1 = 2(k[2mp+1]+m)p+1[/tex]
[/sm88]

The guy made a joke (he is the joker, remember? see his id is "ciocker") and you all jumped to [strike]kill[/strike] adnotate (@cheesehead: :razz:) him, first of you saying nonsense, the second of you forgetting duplicated phrases in the text, and the third [B]losing a "p" on the way[/B] in that calculus, hehe, THAT is really funny :razz: :smile:

And by the way, you don't need to close the \tex box to write subscripts and superscripts...[TEX]x_1^2+x^3_4=x^{2^3}_{1_4}[/TEX]

[QUOTE=LaurV;297179]The guy made a joke (he is the joker, remember? see his id is "ciocker") and you all jumped to kill him,[/QUOTE]"kill" ???

How about "annotate" ?

Now it looks much better, last 3 posts could be deleted (my two including this one, and cheesehead's one in between). Well, we lose the fun, but the thread would be clearer. Or well... the thread would be clearer, but we will lose the fun...

[QUOTE=LaurV;297183]Now it looks much better, last 3 posts could be deleted (my two including this one, and cheesehead's one in between). Well, we lose the fun, but the thread would be clearer. Or well... the thread would be clearer, but we will lose the fun...[/QUOTE]

Since when was clarity ever our first goal? :razz::smile:
(Shows how little Tex I know :P)

(easy warm-up) M1091 has a prime factor 2·k·1091+1, where
[CODE]k = 179 · 69737 · 4086974693 · 7727500822367 · 10227820166017 · 196164761709907 · 8326159283085775335016522402181511923674994349944795840347158060798548700472189268029761648871175757465278359531733261197555258091948229635309347779196749685783
[/CODE]

M10169 has a prime factor 2·k·10169+1, where
[CODE]k = 2^4 · 3^3 · 11 · 18196183 · 967157656641434911 · 8437886386...17[SUB]<2988>[/SUB][/CODE]
:popcorn: