Forum: Math
2013-06-15, 03:10
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Replies: 6
Views: 2,171
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Forum: Information & Answers
2013-03-07, 14:25
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Replies: 49
Views: 8,948
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Forum: Math
2012-04-10, 05:25
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Replies: 4
Views: 994
\text{ If } n \equiv 1 \pmod 4 ~\text { and...
\text{ If } n \equiv 1 \pmod 4 ~\text { and }~n\geq1 ~\text { then }~ 5 \mid 2^n+3 , so 5 is only prime number of the form 2^n+3 with property n \equiv 1 \pmod 4
Yes , I mean : S_{i-1} .
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Forum: Math
2012-04-10, 05:03
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Replies: 4
Views: 994
Lucasian Criteria for the Primality of 2^n+3
Definition : Let P_n be a number of the form :
P_n=2^n+3
Definition : Let's define starting seed S as :
S = \begin{cases} 3, & \text{if }n \equiv 0 \pmod 4 \\ 8, & \text{if }n \equiv 2...
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Forum: Math
2012-04-02, 12:31
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Replies: 15
Views: 5,279
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Forum: Math
2012-04-02, 09:03
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Replies: 15
Views: 5,279
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Forum: Math
2012-04-02, 07:40
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Replies: 15
Views: 5,279
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Forum: Math
2012-04-02, 05:20
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Replies: 15
Views: 5,279
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Forum: Miscellaneous Math
2011-11-28, 08:09
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Replies: 18
Views: 2,744
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Forum: Miscellaneous Math
2011-11-27, 05:33
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Replies: 18
Views: 2,744
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Forum: Miscellaneous Math
2011-11-26, 16:47
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Replies: 18
Views: 2,744
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Forum: Miscellaneous Math
2011-11-26, 09:55
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Replies: 18
Views: 2,744
Some Properties of Mersenne Number Factors
M_p=2^p-1
a)
(q=k\cdot 2^3+1 \wedge M_p \equiv 0 \pmod q) \Rightarrow (k\equiv 0 \pmod p \wedge \gcd(k-1,3)=1)
b)
(q=k\cdot 2^3-1 \wedge M_p \equiv 0 \pmod q) \Rightarrow (4 \cdot k\equiv...
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