Note: Due to changes in the Riesel prime template, most of those pages (and related) are not shown properly.
This will take some time!
Wanna help? Please move any Riesel prime page first, then edit/add the base parameter.
Navigation
Topics Register • News • History • How to • Sequences statistics • Template prototypes

User:Karbon

From Prime-Wiki
Jump to: navigation, search
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)