Template:Riesel prime

Description

Template Riesel prime

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

Prototype

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

Parameters

• Rk: the k-value of k•bⁿ-1
• Rb: the b-value of k•bⁿ-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
• RRemarks: any helpful text or links for this sequence
• 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):

• If Nash-weight < 1000 → category Riesel Low weight is set
• If there are 100 n-values or more → category Riesel Count 100 is set
• If RCount=0 → category Riesel Count 0 is set
• According to the k-value the corresponding category is set to the Riesel problem.

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

See also

• Template:K-type

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 : 315 Count : 8 Nash : 2390 Max n : 20 Date : 2019-03-01 Reserved : Karsten Bonath, Euclid

2, 3, 5, 7, 13, 17, 19, 4253

Remarks :

For this k-value theses are the Mersenne primes.