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Admin of this Wikiw.
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{{#babel:de|en-3}}
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'''Admin''' of this Wiki.
 +
 
 +
==External links==
 +
*[https://www.rieselprime.de/default.htm RieselProth Database]: my Primes Homepage since 2007
 +
*[https://www.jigsaw-wiki.com/wiki/Main_Page Jigsaw Wiki]: my first Wiki since 2016 with ~10 000 jigsaw puzzles
 +
*[https://primes.utm.edu/bios/page.php?id=756 Top5000 Prover code]: My primes found, latest {{PP|126269|(290^124116-1)^2-2}}
 +
 
 +
==Internal links==
 +
*[[Special:MyUploads|My uploads]]
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*[[Special:MyContributions|My contributions]]
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*[[MediaWiki:Sitenotice]]
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*[[:Category:Karsten Bonath/PrimesFound]]
 +
 
 +
==PHP example==
 +
<code>number = 1234567.896</code>
 +
 
 +
{{#switch:{{Uselang}}
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|de=Zahlenformat Deutschland (de):
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<phptag>
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$number = 1234567.896;
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echo number_format($number, 2, ',', '.');
 +
</phptag>
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|#default=Number format English (en):
 +
<phptag>
 +
$number = 1234567.896;
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echo number_format($number, 2, '.', ',');
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</phptag>
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}}
 +
 
 +
==Example table for Sierpinski/Riesel problems==
 +
===Data explantation===
 +
Data given in the table:
 +
*base b and some data for this base
 +
**conjectured k (CK) and the covering set in {}
 +
**algebraic factors (if exist) and k-values with these
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**remaining k-values or proven and search range in [] sorted by GCD
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**10 highest primes/PRPs
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[...]
 +
 
 +
===Colors used===
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: <span style="background-color:#CEF2E0;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span> proven and all primes are defined primes
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: <span style="background-color:#FAECC8;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span> proven but some primes are only probable primes that have not been certified
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: <span style="background-color:#E0CEF2;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span> unproven
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===Table===
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{| class="wikitable"
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! Base || Data
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|-
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!rowspan="3" style="background-color:#E0CEF2;"|2
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| 78557 {3, 5, 7, 13, 19, 37, 73}
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|-
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| '''GCD = 1''': 21181, 22699, 24737, 55459, 65536 [8.589G], 67607 (other k at n=31M)
 +
|-
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| {{PP|122473|10223(31172165)}}, {{PP|80385|19249(13018586)}}, 27653 (9167433), 28433 (7830457), 33661 (7031232), 5359 (5054502), 4847 (3321063), 54767 (1337287), 69109 (1157446), 65567 (1013803)
 +
|-
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!rowspan="3" style="background-color:#E0CEF2;"|3
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|11047 {2, 5, 7, 13, 73}
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|-
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|'''GCD = 2''': 1187, 1801, 3007, 3047, 3061, 3307, 5321, 5743, 5893, 6427, 6569, 6575, 7927, 8161, 8227, 8467, 8609, 8863, 8987, 9263, 9449 (all at n=10K)
 +
|-
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| 621(20820), 10243(9731), 2747(7097), 10207(6089), 823(6087), 10741(6028), 821(5512), 5147(5153), 9721(5040), 41(4892)
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|-
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!rowspan="3" style="background-color:#CEF2E0;"|4
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|419 {3, 5, 7, 13}
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|-
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|none - proven
 +
|-
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|186(10458), 94(291), 176(228), 129(207), 89(167), 86(108), 174(103), 369(71), 101(66), 293(58)
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|-
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!rowspan="3" style="background-color:#CEF2E0;"|5
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|7 {2, 3}
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|-
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|none - proven
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|-
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|4(2), 3(2), 6(1), 5(1), 2(1), 1(1)
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|-
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!rowspan="3" style="background-color:#E0CEF2;"|6
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|174308 {7, 13, 31, 37, 97}
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|-
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|[[Sierpinski problem (extended definition) base 6 remain|113 k's remain]] (k = 1296 at n=268.4M, k = 1814 at n=12K, other k = 4 mod 5 at n=2.2K, other k at n=2M)
 +
|-
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|139413(1279992), 33706(910462), 125098(896696), 31340(833096), 59506(780877), 10107(559967), 113966(511831), 172257(349166), 121736(298935), 124221(278517)
 +
|-
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!rowspan="3" style="background-color:#FAECC8;"|105
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|319 {2, 53}
 +
|-
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|none - proven (with probable primes that have not been certified: k = 191)
 +
|-
 +
|191 (5045), 36 (675), 39 (348), 264 (275), 183 (210), 150 (193), 80 (177), 164 (146), 167 (140), 204 (105)
 +
|}

Latest revision as of 07:35, 3 July 2020

Babel user information
de-N Dieser Benutzer spricht Deutsch als Muttersprache.
en-3 This user has advanced knowledge of English.
Users by language

Admin of this Wiki.

External links

Internal links

PHP example

number = 1234567.896

Number format English (en): 1,234,567.90

Example table for Sierpinski/Riesel problems

Data explantation

Data given in the table:

  • base b and some data for this base
    • conjectured k (CK) and the covering set in {}
    • algebraic factors (if exist) and k-values with these
    • remaining k-values or proven and search range in [] sorted by GCD
    • 10 highest primes/PRPs

[...]

Colors used

      proven and all primes are defined primes
      proven but some primes are only probable primes that have not been certified
      unproven

Table

Base Data
2 78557 {3, 5, 7, 13, 19, 37, 73}
GCD = 1: 21181, 22699, 24737, 55459, 65536 [8.589G], 67607 (other k at n=31M)
10223(31172165), 19249(13018586), 27653 (9167433), 28433 (7830457), 33661 (7031232), 5359 (5054502), 4847 (3321063), 54767 (1337287), 69109 (1157446), 65567 (1013803)
3 11047 {2, 5, 7, 13, 73}
GCD = 2: 1187, 1801, 3007, 3047, 3061, 3307, 5321, 5743, 5893, 6427, 6569, 6575, 7927, 8161, 8227, 8467, 8609, 8863, 8987, 9263, 9449 (all at n=10K)
621(20820), 10243(9731), 2747(7097), 10207(6089), 823(6087), 10741(6028), 821(5512), 5147(5153), 9721(5040), 41(4892)
4 419 {3, 5, 7, 13}
none - proven
186(10458), 94(291), 176(228), 129(207), 89(167), 86(108), 174(103), 369(71), 101(66), 293(58)
5 7 {2, 3}
none - proven
4(2), 3(2), 6(1), 5(1), 2(1), 1(1)
6 174308 {7, 13, 31, 37, 97}
113 k's remain (k = 1296 at n=268.4M, k = 1814 at n=12K, other k = 4 mod 5 at n=2.2K, other k at n=2M)
139413(1279992), 33706(910462), 125098(896696), 31340(833096), 59506(780877), 10107(559967), 113966(511831), 172257(349166), 121736(298935), 124221(278517)
105 319 {2, 53}
none - proven (with probable primes that have not been certified: k = 191)
191 (5045), 36 (675), 39 (348), 264 (275), 183 (210), 150 (193), 80 (177), 164 (146), 167 (140), 204 (105)
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