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-   -   k=22544089918041953*E(130) generates 216 known primes (https://www.mersenneforum.org/showthread.php?t=18407)

robert44444uk 2013-08-13 09:37

[QUOTE=Lennart;349279]Primality testing 22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^531133-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^531133-1 is prime! (1873.5388s+0.0074s)

Lennart[/QUOTE]

Well done Lennart, that's 208!!

Antonio 2013-08-13 19:55

600,001-610,000 Range complete (2 Primes already reported)

Taking 630-635

lsoule 2013-08-13 23:31

614-620 complete, no primes.
Taking 635-640.

lsoule 2013-08-15 00:42

Primality testing 22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^639888-1 [N+1, Brillhart-Lehmer-Self
ridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^639888-1 is prime! (7410.2605s+0.0208s)

Batalov 2013-08-15 01:01

Will update on 620-630 here - almost done.

Taking 640-650.

Batalov 2013-08-15 05:15

Taking 650-680.

robert44444uk 2013-08-15 09:04

[QUOTE=lsoule;349597]Primality testing 22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^639888-1 [N+1, Brillhart-Lehmer-Self
ridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
22544089918041953*3*5*11*13*19*29*37*53*59*61*67*83*101*107*131*2^639888-1 is prime! (7410.2605s+0.0208s)[/QUOTE]

This one will run and run! 209!!!

devarajkandadai 2013-08-15 13:05

[QUOTE=robert44444uk;347841]I have posted the discovery this morning on the Yahoo Primeform group, with a short history of the search.

[url]http://tech.groups.yahoo.com/group/primeform/message/11407[/url]

the primes found to date:

[CODE]

1 1
2 2
3 11
4 14
5 16
6 36
7 41
8 52
9 53
10 64
11 65
12 73
13 75
14 80
15 91
16 124
17 131
18 140
19 156
20 158
21 166
22 170
23 189
24 194
25 223
26 224
27 233
28 240
29 250
30 275
31 284
32 288
33 354
34 374
35 405
36 478
37 486
38 489
39 498
40 500
41 521
42 527
43 556
44 562
45 591
46 596
47 623
48 642
49 643
50 650
51 708
52 802
53 839
54 850
55 867
56 883
57 960
58 985
59 1003
60 1070
61 1108
62 1173
63 1207
64 1238
65 1276
66 1322
67 1361
68 1374
69 1375
70 1509
71 1570
72 1592
73 1636
74 1717
75 1720
76 1800
77 1808
78 1999
79 2150
80 2251
81 2352
82 2373
83 2550
84 2576
85 2596
86 2692
87 2697
88 2791
89 2956
90 3076
91 3178
92 3325
93 3590
94 4221
95 4327
96 4344
97 4385
98 4505
99 4585
100 4913
101 5217
102 5599
103 6478
104 6864
105 7089
106 7106
107 8140
108 8382
109 8528
110 8784
111 8787
112 9399
113 11069
114 11311
115 11853
116 14292
117 15198
118 15320
119 15825
120 15999
121 17570
122 17840
123 17887
124 17935
125 18401
126 20262
127 20460
128 20503
129 22568
130 22887
131 25002
132 26252
133 26523
134 27251
135 28233
136 29803
137 30173
138 31212
139 31424
140 32583
141 33696
142 36106
143 36320
144 40172
145 42457
146 44900
147 46170
148 46787
149 47920
150 49784
151 53246
152 55579
153 59638
154 60260
155 64574
156 67190
157 67470
158 71221
159 73142
160 77776
161 80678
162 84684
163 87557
164 96045
165 102231
166 102651
167 104202
168 104655
169 111235
170 111239
171 118689
172 119254
173 129630
174 134337
175 134490
176 141805
177 146149
178 159874
179 163330
180 168072
181 174712
182 177119
183 177684
184 190958
185 193804
186 197942
187 210616
188 226559
189 227776
190 229069
191 245288
192 255530
193 294807
194 318934
195 334623
196 334645
197 363020
198 376732
199 403709
200 414907
201 449150
202 472040
203 479697
204 496187
205 498496

206 531133

207 608207
208 608462

209 639888
[/CODE]

[B]Current total: 209 primes[/B][/QUOTE]
How reliable is pfgw pl?
A.K. Devaraj

Thomas11 2013-08-15 14:07

[QUOTE=devarajkandadai;349650]How reliable is pfgw pl?
A.K. Devaraj[/QUOTE]

What do you mean by "reliable"?

Due to the size of k we run a PRP test first instead of a more demanding primality test (Brillhart-Lehmer-Selfridge). For a positive PRP test the BLS test is done manually afterwards. If it turns out prime, then it should be as "reliable" as if it would have been done by any other primality testing software (like LLR, Proth, Prime95, even if the latter are unable to test those numbers).

Batalov 2013-08-15 15:27

Taking 680-720.

lsoule 2013-08-15 17:03

635-640 complete with the one prime reported.


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