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-   -   New prime discovered (https://www.mersenneforum.org/showthread.php?t=17879)

kgr 2013-03-04 07:24

New prime discovered
 
M49 with exponent 536870911
M50 with exponent 2147483647

Batalov 2013-03-04 07:42

[QUOTE=kgr;331874]M49 with exponent [STRIKE]536870911[/STRIKE] <-- try again
M[STRIKE]50[/STRIKE]49 maybe? with exponent 2147483647[/QUOTE]
536870911 = 233 * 1103 * 2089 (deja vu? Just [URL="http://mersenneforum.org/showthread.php?t=17878"]saw this number[/URL]!)

LaurV 2013-03-04 07:46

[QUOTE=kgr;331874]M49 with exponent 536870911
M50 with exponent 2147483647[/QUOTE]
[CODE]gp > tf_60c(num,0,10^5)
M2147483647 has a factor: 295257526626031
gp > ##
*** last result computed in 140 ms.
gp >[/CODE]so much for your conjecture... :razz:

edit @SB: good catch, I did not realize, hehe, shame on me! I wasted the time to launch pari ... (and just few weeks ago I pretended to know all powers of 2 up to some limit, grrr...)

Raman 2013-03-04 09:20

[QUOTE=kgr;331874]M49 with exponent 536870911
M50 with exponent 2147483647[/QUOTE]
[COLOR=#000000]1399[/COLOR] | 2[SUP]536870911[/SUP]-1
2207 | 2[SUP]536870911[/SUP]-1
[COLOR=#000000]135607[/COLOR] | 2[SUP]536870911[/SUP]-1
622577 | 2[SUP]536870911[/SUP]-1
16673027617 | 2[SUP]536870911[/SUP]-1
4126110275598714647074087 | 2[SUP]536870911[/SUP]-1
116868129879077600270344856324766260085066532853492178431 | 2[SUP]536870911[/SUP]-1

295257526626031 | 2[SUP]2147483647[/SUP]-1
87054709261955177 | 2[SUP]2147483647[/SUP]-1
242557615644693265201 | 2[SUP]2147483647[/SUP]-1
178021379228511215367151 | 2[SUP]2147483647[/SUP]-1


:crank:


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