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Old 2013-03-04, 07:24   #1
kgr
 
Feb 2013
China

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Default New prime discovered

M49 with exponent 536870911
M50 with exponent 2147483647
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Old 2013-03-04, 07:42   #2
Batalov
 
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Phi(4,2^7658614+1)/2

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Quote:
Originally Posted by kgr View Post
M49 with exponent 536870911 <-- try again
M5049 maybe? with exponent 2147483647
536870911 = 233 * 1103 * 2089 (deja vu? Just saw this number!)
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Old 2013-03-04, 07:46   #3
LaurV
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Quote:
Originally Posted by kgr View Post
M49 with exponent 536870911
M50 with exponent 2147483647
Code:
gp > tf_60c(num,0,10^5)
M2147483647 has a factor: 295257526626031
gp > ##
  ***   last result computed in 140 ms.
gp >
so much for your conjecture...

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...)

Last fiddled with by LaurV on 2013-03-04 at 07:53
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Old 2013-03-04, 09:20   #4
Raman
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Quote:
Originally Posted by kgr View Post
M49 with exponent 536870911
M50 with exponent 2147483647
1399 | 2536870911-1
2207 | 2536870911-1
135607 | 2536870911-1
622577 | 2536870911-1
16673027617 | 2536870911-1
4126110275598714647074087 | 2536870911-1
116868129879077600270344856324766260085066532853492178431 | 2536870911-1

295257526626031 | 22147483647-1
87054709261955177 | 22147483647-1
242557615644693265201 | 22147483647-1
178021379228511215367151 | 22147483647-1


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