New prime discovered

kgr · 2013-03-04, 07:24

M49 with exponent 536870911
M50 with exponent 2147483647

Batalov · 2013-03-04, 07:42

Quote:

Originally Posted by kgr

M49 with exponent ~~536870911~~ <-- try again
M5049 maybe? with exponent 2147483647

536870911 = 233 * 1103 * 2089 (deja vu? Just saw this number!)

LaurV · 2013-03-04, 07:46

Quote:

Originally Posted by kgr

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...)

Raman · 2013-03-04, 09:20

Quote:

Originally Posted by kgr

M49 with exponent 536870911
M50 with exponent 2147483647

1399 | 2^536870911-1
2207 | 2^536870911-1
135607 | 2^536870911-1
622577 | 2^536870911-1
16673027617 | 2^536870911-1
4126110275598714647074087 | 2^536870911-1
116868129879077600270344856324766260085066532853492178431 | 2^536870911-1

295257526626031 | 2^2147483647-1
87054709261955177 | 2^2147483647-1
242557615644693265201 | 2^2147483647-1
178021379228511215367151 | 2^2147483647-1

2013-03-04, 07:24	#1
kgr Feb 2013 China 1₈ Posts	New prime discovered M49 with exponent 536870911 M50 with exponent 2147483647

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