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Difference between revisions of "User:Karbon"
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+ | {{#babel:de|en-3}} | ||
'''Admin''' of this Wiki. | '''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]] | ||
+ | *[[Special:MyContributions|My contributions]] | ||
+ | *[[MediaWiki:Sitenotice]] | ||
+ | *[[:Category:Karsten Bonath/PrimesFound]] | ||
+ | |||
+ | ==PHP example== | ||
+ | <code>number = 1234567.896</code> | ||
+ | |||
+ | {{#switch:{{Uselang}} | ||
+ | |de=Zahlenformat Deutschland (de): | ||
+ | <phptag> | ||
+ | $number = 1234567.896; | ||
+ | echo number_format($number, 2, ',', '.'); | ||
+ | </phptag> | ||
+ | |#default=Number format English (en): | ||
+ | <phptag> | ||
+ | $number = 1234567.896; | ||
+ | echo number_format($number, 2, '.', ','); | ||
+ | </phptag> | ||
+ | }} | ||
+ | |||
+ | ==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=== | ||
+ | : <span style="background-color:#CEF2E0;"> </span> proven and all primes are defined primes | ||
+ | : <span style="background-color:#FAECC8;"> </span> proven but some primes are only probable primes that have not been certified | ||
+ | : <span style="background-color:#E0CEF2;"> </span> unproven | ||
+ | |||
+ | ===Table=== | ||
+ | {| class="wikitable" | ||
+ | ! Base || Data | ||
+ | |- | ||
+ | !rowspan="3" style="background-color:#E0CEF2;"|2 | ||
+ | | 78557 {3, 5, 7, 13, 19, 37, 73} | ||
+ | |- | ||
+ | | '''GCD = 1''': 21181, 22699, 24737, 55459, 65536 [8.589G], 67607 (other k at n=31M) | ||
+ | |- | ||
+ | | {{PP|122473|10223(31172165)}}, {{PP|80385|19249(13018586)}}, 27653 (9167433), 28433 (7830457), 33661 (7031232), 5359 (5054502), 4847 (3321063), 54767 (1337287), 69109 (1157446), 65567 (1013803) | ||
+ | |- | ||
+ | !rowspan="3" style="background-color:#E0CEF2;"|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) | ||
+ | |- | ||
+ | !rowspan="3" style="background-color:#CEF2E0;"|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) | ||
+ | |- | ||
+ | !rowspan="3" style="background-color:#CEF2E0;"|5 | ||
+ | |7 {2, 3} | ||
+ | |- | ||
+ | |none - proven | ||
+ | |- | ||
+ | |4(2), 3(2), 6(1), 5(1), 2(1), 1(1) | ||
+ | |- | ||
+ | !rowspan="3" style="background-color:#E0CEF2;"|6 | ||
+ | |174308 {7, 13, 31, 37, 97} | ||
+ | |- | ||
+ | |[[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) | ||
+ | |- | ||
+ | |139413(1279992), 33706(910462), 125098(896696), 31340(833096), 59506(780877), 10107(559967), 113966(511831), 172257(349166), 121736(298935), 124221(278517) | ||
+ | |- | ||
+ | !rowspan="3" style="background-color:#FAECC8;"|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) | ||
+ | |} |
Latest revision as of 07:35, 3 July 2020
Babel user information | ||
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| ||
Users by language |
Admin of this Wiki.
Contents
External links
- RieselProth Database: my Primes Homepage since 2007
- Jigsaw Wiki: my first Wiki since 2016 with ~10 000 jigsaw puzzles
- Top5000 Prover code: My primes found, latest (290^124116-1)^2-2
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) |