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Old 2017-01-01, 00:48   #1
pinhodecarlos
 
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"Carlos Pinho"
Oct 2011
Milton Keynes, UK

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Default Largest k*2^n-1 Primes Found In 2016

Here is the list of 100 largest "Riesel" primes (k*2^n-1, k>1) found in 2016.

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (as of January 1, 2017 at 0030 GMT)

Code:
---------------------------------------------------------------
 r1     r2     description                    digits    who 
---------------------------------------------------------------
1        28  3343*2^7166019-1                 2157191 L1884  
2        43  1243*2^5686715-1                 1711875 L1828  
3        84  151*2^4424321-1                  1331856 L1884  
4        92  1259*2^4196028-1                 1263134 L1828  
5       123  13*2^3675223-1                   1106354 L1862  
6       125  13*2^3664703-1                   1103187 L1862  
7       155  13*2^3527315-1                   1061829 L1862  
8       233  61*2^3286535-1                    989348 L4405  
9       320  65*2^2876718-1                    865981 L2484  
10      370  93*2^2708718-1                    815408 L1862  
11      397  57*2^2639528-1                    794579 L2484  
12      416  93*2^2602483-1                    783428 L1862  
13      495  201*2^2421514-1                   728951 L1862  
14      580  4161*2^2326875-1                  700463 L1959  
15      595  4063*2^2313843-1                  696540 L1959  
16      601  4063*2^2310187-1                  695440 L1959  
17      602  4063*2^2309263-1                  695162 L1959  
18      671  4161*2^2240358-1                  674419 L1959  
19      694  325*2^2223243-1                   669266 L2235  
20      807  405*2^2137280-1                   643388 L1862  
21      901  1455*2^2064103-1                  621361 L1134  
22      967  143*2^2007888-1                   604437  L384  
23      985  1323*2^1998103-1                  601493 L1828  
24     1011  4141*2^1986959-1                  598138 L1959  
25     1014  1133*2^1984488-1                  597394 L1828  
26     1020  1197*2^1977152-1                  595186 L1828  
27     1022  1149*2^1975451-1                  594674 L1828  
28     1028  4197*2^1970430-1                  593163 L1959  
29     1029  1387*2^1970033-1                  593043 L1828  
30     1037  1309*2^1967613-1                  592314 L1828  
31     1038  4025*2^1966732-1                  592049 L1959  
32     1049  4065*2^1961907-1                  590597 L1959  
33     1053  1111*2^1959625-1                  589909 L1828  
34     1056  1065*2^1957291-1                  589207 L1828  
35     1068  4027*2^1951909-1                  587587 L1959  
36     1072  4007*2^1949916-1                  586987 L1959  
37     1076  1167*2^1949013-1                  586715 L1828  
38     1079  1209*2^1946260-1                  585886 L1828  
39     1080  1339*2^1945965-1                  585797 L1828  
40     1082  4011*2^1945630-1                  585697 L1959  
41     1089  4173*2^1941820-1                  584550 L1959  
42     1103  1191*2^1935613-1                  582681 L1828  
43     1104  4047*2^1934881-1                  582461 L1959  
44     1108  1265*2^1932660-1                  581792 L1828  
45     1111  1095*2^1931213-1                  581357 L1828  
46     1115  1101*2^1929297-1                  580780 L1828  
47     1118  1071*2^1928515-1                  580544 L1828  
48     1121  1283*2^1924402-1                  579306 L1828  
49     1124  4005*2^1923385-1                  579001 L1959  
50     1143  4103*2^1909766-1                  574901 L1959  
51     1148  4035*2^1907685-1                  574275 L1959  
52     1155  4171*2^1901433-1                  572392 L1959  
53     1248  4171*2^1841157-1                  554248 L1959  
54     1287  91179*2^1823580-1                 548958 L2777 
55     1330  4089*2^1803463-1                  542901 L1959  
56     1445  4111*2^1754463-1                  528150 L1959  
57     1447  4171*2^1754017-1                  528016 L1959  
58     1460  4147*2^1748201-1                  526265 L1959  
59     2109  3435*2^1510156-1                  454606  L860  
60     2157  3465*2^1495986-1                  450341  L860  
61     2168  3771*2^1494095-1                  449771  L860  
62     2241  18455*2^1476402-1                 444446 L2777 
63     2299  6957*2^1461325-1                  439907  L860  
64     2311  2925*2^1457402-1                  438726 L2074  
65     2328  7383*2^1452124-1                  437137  L860  
66     2331  3615*2^1450771-1                  436730  L860  
67     2351  3615*2^1446921-1                  435571  L860  
68     2354  685*2^1446421-1                   435419 L2257  
69     2355  623*2^1445836-1                   435243 L2257  
70     2364  6957*2^1444729-1                  434911  L860  
71     2372  741*2^1441006-1                   433789 L2257  
72     2379  685*2^1438521-1                   433041 L2257  
73     2380  951*2^1438430-1                   433014 L2257  
74     2385  993*2^1437131-1                   432623 L2257  
75     2389  619*2^1436227-1                   432351 L2257  
76     2392  957*2^1435600-1                   432162 L2257  
77     2398  499*2^1434643-1                   431874 L3844  
78     2412  3825*2^1431720-1                  430995  L860  
79     2444  653*2^1428280-1                   429958 L2257  
80     2478  3867*2^1425184-1                  429027  L860  
81     2480  783*2^1425060-1                   428989 L2257  
82     2545  973*2^1420727-1                   427685 L2257  
83     2547  3465*2^1420684-1                  427673  L860  
84     2561  805*2^1418871-1                   427126 L2257  
85     2564  6405*2^1418647-1                  427060  L860  
86     2575  989*2^1418056-1                   426881 L2257  
87     2619  6405*2^1414047-1                  425675  L860  
88     2671  3867*2^1410726-1                  424675  L860  
89     2684  8707*2^1409397-1                  424275 L4113  
90     2701  3109*2^1407997-1                  423853 L4113  
91     2715  8783*2^1406894-1                  423522 L4113  
92     2719  7059*2^1406729-1                  423472  L860  
93     2731  2789*2^1405444-1                  423085 L4113  
94     2740  5779*2^1404659-1                  422849 L4113  
95     2743  1543*2^1404511-1                  422804 L4113  
96     2789  9241*2^1400567-1                  421617 L4113  
97     2868  7803*2^1394767-1                  419871  L860  
98     2878  7481*2^1394206-1                  419702  L860  
99     2939  7743*2^1389914-1                  418410  L860  
100    3063  7803*2^1381122-1                  415764  L860  
---------------------------------------------------------------
The list of 100 largest Riesel primes found in 2015 can be found http://mersenneforum.org/showthread.php?t=20808

Last fiddled with by pinhodecarlos on 2017-01-01 at 00:54
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Old 2017-01-01, 03:24   #2
Kosmaj
 
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Nov 2003

70468 Posts
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Hi Carlos,

Nice list!
Happy New year to you and other prime searchers.
Kosmaj is offline   Reply With Quote
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