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Difference between revisions of "Sophie Germain prime"

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(test table)
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A [[prime]] number p is called a '''Sophie Germain prime''' if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2*23+1 = 47, also prime.
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A [[prime]] number {{V|p}} is called a '''Sophie Germain prime''' if 2{{V|p}}+1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2*23+1 = 47, also prime.
  
 
It is not known whether there are infinitely many Sophie Germain primes.
 
It is not known whether there are infinitely many Sophie Germain primes.
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This is only a test.
 
This is only a test.
 
{| class="wikitable"
 
{| class="wikitable"
! No. !! p !! Link
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! No. !! {{V|p}} !! Link
 
|-
 
|-
 
| 1 || 2 || -
 
| 1 || 2 || -

Latest revision as of 04:26, 3 November 2020

A prime number p is called a Sophie Germain prime if 2p+1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2*23+1 = 47, also prime.

It is not known whether there are infinitely many Sophie Germain primes.

List of Sophie Germain primes

The next table includes the first 500 Sophie Germain primes.

Table

ToDo: List of primes as document

This is only a test.

No. p Link
1 2 -
2 3 Mersenne 22-1
3 5 Riesel 3•21-1
4 11 Riesel 3•22-1
5 23 Riesel 3•23-1
6 29 Riesel 15•21-1
7 41 Riesel 21•21-1
8 53 Riesel 27•21-1
9 83 Riesel 21•22-1
10 89 Riesel 45•21-1
11 113 Riesel 57•21-1
12 131 Riesel 33•22-1
13 173 Riesel 87•21-1
14 179 Riesel 45•22-1
15 191 Riesel 3•26-1
16 233 Riesel 117•21-1
17 239 Riesel 15•24-1
18 251 Riesel 63•22-1
19 281 Riesel 141•21-1
20 293 Riesel 147•21-1
212 11519 Riesel 45•28-1
100000 19391363 Riesel 4847841•22-1
145135534866431 Riesel 33•242-1
Note: Possible to give the No. (if available) in the comments of the Riesel prime page (see Template NVal)?

External links