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# Template:Riesel prime

## Description

Template Riesel prime

Display of current data for Riesel primes kbn-1, comments will be displayed as references at the bottom.

{{Riesel prime
|Rk=
|Rb=
|RCount=
|RNash=
|RMaxn=
|RDate=
|RReserved=
|RMultiRes=
|RNlist=
|RRemarks=
|RSieve=
}}

## Parameters

• Rk: the k-value of kbn-1
• Rb: the b-value of kbn-1
• RCount: the number of n-values given
If no count is given, this will be automatically counted. If given and differs from automated value, a warning will be shown.
• RNash: the Nash weight
• RMaxn: highest n-value of continuous searched range (from n=1)
• RDate: last date of edit
• RReserved: person(s) who reserved this sequence (comma separated)
• RMultiRes: number of Template:Multi Reservation: RMaxn and RDate will be taken from there
• RNlist: list of every n-value (one per row) with comments
• RSieve: if set a zip-file can be uploaded (filename is given then) if not available; if exists file is downloadable

## Categories set

In case of the following conditions special categories will be set automatically (b = 2 only)::

• If k-value is disvisible by 3 → category Riesel 3k is set
• If k-value is disvisible by 15 → category Riesel 15k is set
• If k-value is disvisible by 2145 → category Riesel 2145k is set
• If k-value is disvisible by 2805 → category Riesel 2805k is set
• If RCount=0 & RNash=0 & RMaxn=0 → category Riesel number is set

Any base (here given for base 2 only):

The category Riesel prime for base b is set by default.

## Example

{{Riesel prime
|Rk=15
|Rb=2
|RCount=8
|RNash=2390
|RMaxn=20
|RDate=2019-03-01
|RReserved=Karsten Bonath,Euclid
|RMultiRes=
|RNlist=
2;T:ST;C:'''[[M1]]''', Near Woodall: (1+1)*2^1-1
3;T:SW;C:[[M2]], Woodall: 2*2^2-1
5;C:[[M3]], Near Woodall: (3+1)*2^3-1
7;C:[[M4]], Near Woodall: (5-1)*2^5-1
13;C:[[M5]]
17;C:[[M6]]
19;C:[[M7]], Near Woodall: (15+1)*2^15-1
4253;43912;C:[[M19]]
|RRemarks=For this {{Vk}}-value theses are the [[Mersenne prime]]s.
|RSieve=
}}

will create:

## Current data

 k , b : 15 , 2 Type : Count : 8 Nash : 2390 Max n : 20 Date : 2019-03-01 Reserved : Karsten Bonath, Euclid
 2[1], 3[2], 5[3], 7[4], 13[5], 17[6], 19[7], 4253[8]
 Remarks : For this k-value theses are the Mersenne primes.

## Notes

1. S.G. n=2, Twin n=2, M1, Near Woodall: (1+1)*2^1-1
2. S.G. n=3, Woodall, M2, Woodall: 2*2^2-1
3. M3, Near Woodall: (3+1)*2^3-1
4. M4, Near Woodall: (5-1)*2^5-1
5. M5
6. M6
7. M7, Near Woodall: (15+1)*2^15-1
8. M19