Primes found

MooooMoo · 2006-05-04, 00:07

We have found 373 single primes so far.
Out of those, 1 prime was a twin prime!

This is a list of them for k*2^195000-1:

k=

58708 digits

4610793
5612337
5647677
8507607

58709 digits

14565177
27204543
33409395
48407103
56985075
62205915
62977983
66532947
69833703
76110153
89562585
89572875
91188027
95253645
102917337
106105395
113040057
129255753
135544173
136907103
136948623
137183937
137391093

58710 digits

144684543
168367377
175653363
186002877
188277873
192890547
193308537
196134045 (+1 only)
197230035 (+1 only)
199675863 (+1 only)
201931413
211150695
211965945
219831687
227146953
227525877
230052405
240148857
240636867
244504353
256143375
257191305
258287577
261512115
268964355
269367765
276269325
277498455
285132237
293333253
296906745
305955045
310051095
310482993
322226817
323072235
333633723
341243235
345103743
345767133
346902537
347502045
353042547
361895397
367284915
369980097
370489683
377244717
380456043
383048475
384569127
392804403
397872093
398819817
414010935
420922665
424477077
426405705
428302287
430253943
434181015
434553513
438120405
444396417
457074117
470782965
485067825
485237967
500918385
504040563
514192935
525751677
529514895
541130103
543853107
543923937
544032717
548281167
559970205 (+1 only)
572393475
581287005
586518663
586769775
604559793
609230625
609601143
610748877
626821305
628957857
631286775
632666037
641505375
659105535
660287793
662785893
668898513
670308177
670363437
672115647
679736985
681481575
684772497
695564265
697683747
702793263
711146817
725041587
731297595
735752547
737257815
738535683
742584993
743375607
769001877
785692575
791563407
811891197
827154837
828002805
833715705
841904355
846617145
851363223 (+1 only)
853101825 (+1 only)
871467705
873294195
879144063
880598535
888675225
896232465
921064287
927581463
929743545
933183093 (+1 only)
936570267 (+1 only)
943007643
945648387
963726783
970133313
972326115
973519803
973718007
977684715
978054555
986005647
1020314883
1020949683
1030563345
1040028873
1040382945
1042757133
1043023527
1044771123
1048272027
1048669113
1051656543
1053753657
1079026263
1080206955
1086943497
1093603047
1096601145
1098500277
1136529147
1139974755
1127115657 (+1 only)
1142455377
1144590795
1146200235
1150641783
1158246507
1161373167
1164284223
1166588943
1168924137
1170140475
1179147585
1181642913
1181758575
1200938643
1205154153
1207364295
1216517073
1236543297
1237075263
1254354273
1256680185
1258544073
1261066875
1269689493
1277556777
1287247605
1289575443
1292849397
1295981997
1296039687
1296790035
1301392605
1313770323
1320370695 (+1 only)
1322811303 (+1 only)
1324843425 (+1 only)
1367712285
1370173647
1387833345
1404173505

58711 digits

1415658345
1419416787
1424654007
1427258607
1431000855
1438624635
1440031743
1442301075
1444835733
1446017625
1454274903
1459702227
1466905407
1471735785
1473387795
1475315397
1477277877
1479098733
1486986165
1491795483
1500776097
1504959243
1529396487
1556072745
1580854347
1582204797
1584515343
1585770795
1590289347
1598762337
1641291075
1671537315
1671663087
1671907695
1673276157
1678770957
1683139323
1684464147
1686882507
1702384845
1706672055
1714497867
1716021645
1717094295
1727402565
1731333285
1750093347
1758500763
1758810573
1765300323
1767241047
1773522303
1787471163
1788150837
1792158093
1794480543
1800717993
1814545467
1823664045
1827806907
1832901177
1843641525
1847913723
1877719743
1883089635
1892735457
1913744985
1917440787
1924430757
1935003033
1937718237
1939100667
1940586183
1943312613
1949800083
1953415917
1960051737
1966243953
1970367303
1970853183
1974304017
1987901685
1988114187
1993455513
2003663613*2^195000-1 is prime!
2003663613*2^195000+1 is prime!
2010182895
2012467893
2014648575
2041419135
2101880433
2103484467
2107579845
2125894173
2133156483
2136684867
2161675707
2164991397
2170067973
2171797857
2184302073
2189497503
2193776835
2205445245
2214799743
2217350727
2231318523
2237046315
2245190673
2245666395
2248306197
2250589215
2252460327
2254903137
2259783867
2261973987
2262153495
2270188167
2273658387
2282345793
2284907163
2284990185
2297941935
2301660345
2304853185
2309104845
2325498003
2329847355
2336185887
2343043875
2343666735
2350376385
2352225663
2355166797
2363081847
2367956505
2374220607
2376358827
2378461395
2385152037
2392400397

We're expected to find a twin prime before 20G, and it looks like we got one already

There should be one prime every 5-6M, on average.

pacionet · 2006-05-06, 17:12

k= 27204543

but not twin.

victor · 2006-05-08, 20:11

14565177*2^195000-1 is prime! :)
14565177*2^195000+1 isn't. :(
The range (10M-15M) will be completed tomorrow.

MooooMoo · 2006-05-09, 03:37

Quote:

Originally Posted by victor

14565177*2^195000-1 is prime! :)
14565177*2^195000+1 isn't. :(
The range (10M-15M) will be completed tomorrow.

No one said finding a twin would be easy ;)

victor · 2006-05-09, 14:30

Quote:

Originally Posted by MooooMoo

No one said finding a twin would be easy ;)

Quite strange since we have crazy people in the search :D

pacionet · 2006-05-09, 23:01

k=102917337

no twin

2006-05-14, 18:23

Quote:

Originally Posted by MooooMoo

We're expected to find a twin prime before 20G, and this list will be updated regularly.

There should be one prime every 4-5G, on average.

That has to be false. IOne prime every 4G would result in 5 primes to 20G.
You mean 4-5M right?

MooooMoo · 2006-05-14, 19:59

Quote:

Originally Posted by thommy

That has to be false. IOne prime every 4G would result in 5 primes to 20G.
You mean 4-5M right?

Yes, I meant 4-5M. Bad typo

biwema · 2006-05-14, 23:36

You can expect a prime every 5M.

After sieving to 35T you will find on average a twin every 2430 primes or every 13.5G (means the chance of miss = 1/e in that range)

pacionet · 2006-05-16, 01:20

K= 106105395 (normal prime)

Currently I am testing 110M-115M (yet reserved)

lsoule · 2006-05-19, 02:36

Well, I just saw the precaution thread and grep'd in the lresults
file. Out came the following

135544173*2^195000-1 is prime! Time : 90.868 sec.
136907103*2^195000-1 is prime! Time : 90.842 sec.
136948623*2^195000-1 is prime! Time : 90.849 sec.
137183937*2^195000-1 is prime! Time : 90.855 sec.
137391093*2^195000-1 is prime! Time : 135.718 sec.

2006-05-04, 00:07	#1
MooooMoo Apprentice Crank Mar 2006 2×227 Posts	Primes found We have found 373 single primes so far. Out of those, 1 prime was a twin prime! This is a list of them for k2^195000-1: k= 58708 digits* 4610793 5612337 5647677 8507607 58709 digits 14565177 27204543 33409395 48407103 56985075 62205915 62977983 66532947 69833703 76110153 89562585 89572875 91188027 95253645 102917337 106105395 113040057 129255753 135544173 136907103 136948623 137183937 137391093 58710 digits 144684543 168367377 175653363 186002877 188277873 192890547 193308537 196134045 (+1 only) 197230035 (+1 only) 199675863 (+1 only) 201931413 211150695 211965945 219831687 227146953 227525877 230052405 240148857 240636867 244504353 256143375 257191305 258287577 261512115 268964355 269367765 276269325 277498455 285132237 293333253 296906745 305955045 310051095 310482993 322226817 323072235 333633723 341243235 345103743 345767133 346902537 347502045 353042547 361895397 367284915 369980097 370489683 377244717 380456043 383048475 384569127 392804403 397872093 398819817 414010935 420922665 424477077 426405705 428302287 430253943 434181015 434553513 438120405 444396417 457074117 470782965 485067825 485237967 500918385 504040563 514192935 525751677 529514895 541130103 543853107 543923937 544032717 548281167 559970205 (+1 only) 572393475 581287005 586518663 586769775 604559793 609230625 609601143 610748877 626821305 628957857 631286775 632666037 641505375 659105535 660287793 662785893 668898513 670308177 670363437 672115647 679736985 681481575 684772497 695564265 697683747 702793263 711146817 725041587 731297595 735752547 737257815 738535683 742584993 743375607 769001877 785692575 791563407 811891197 827154837 828002805 833715705 841904355 846617145 851363223 (+1 only) 853101825 (+1 only) 871467705 873294195 879144063 880598535 888675225 896232465 921064287 927581463 929743545 933183093 (+1 only) 936570267 (+1 only) 943007643 945648387 963726783 970133313 972326115 973519803 973718007 977684715 978054555 986005647 1020314883 1020949683 1030563345 1040028873 1040382945 1042757133 1043023527 1044771123 1048272027 1048669113 1051656543 1053753657 1079026263 1080206955 1086943497 1093603047 1096601145 1098500277 1136529147 1139974755 1127115657 (+1 only) 1142455377 1144590795 1146200235 1150641783 1158246507 1161373167 1164284223 1166588943 1168924137 1170140475 1179147585 1181642913 1181758575 1200938643 1205154153 1207364295 1216517073 1236543297 1237075263 1254354273 1256680185 1258544073 1261066875 1269689493 1277556777 1287247605 1289575443 1292849397 1295981997 1296039687 1296790035 1301392605 1313770323 1320370695 (+1 only) 1322811303 (+1 only) 1324843425 (+1 only) 1367712285 1370173647 1387833345 1404173505 58711 digits 1415658345 1419416787 1424654007 1427258607 1431000855 1438624635 1440031743 1442301075 1444835733 1446017625 1454274903 1459702227 1466905407 1471735785 1473387795 1475315397 1477277877 1479098733 1486986165 1491795483 1500776097 1504959243 1529396487 1556072745 1580854347 1582204797 1584515343 1585770795 1590289347 1598762337 1641291075 1671537315 1671663087 1671907695 1673276157 1678770957 1683139323 1684464147 1686882507 1702384845 1706672055 1714497867 1716021645 1717094295 1727402565 1731333285 1750093347 1758500763 1758810573 1765300323 1767241047 1773522303 1787471163 1788150837 1792158093 1794480543 1800717993 1814545467 1823664045 1827806907 1832901177 1843641525 1847913723 1877719743 1883089635 1892735457 1913744985 1917440787 1924430757 1935003033 1937718237 1939100667 1940586183 1943312613 1949800083 1953415917 1960051737 1966243953 1970367303 1970853183 1974304017 1987901685 1988114187 1993455513 20036636132^195000-1 is prime! 20036636132^195000+1 is prime! 2010182895 2012467893 2014648575 2041419135 2101880433 2103484467 2107579845 2125894173 2133156483 2136684867 2161675707 2164991397 2170067973 2171797857 2184302073 2189497503 2193776835 2205445245 2214799743 2217350727 2231318523 2237046315 2245190673 2245666395 2248306197 2250589215 2252460327 2254903137 2259783867 2261973987 2262153495 2270188167 2273658387 2282345793 2284907163 2284990185 2297941935 2301660345 2304853185 2309104845 2325498003 2329847355 2336185887 2343043875 2343666735 2350376385 2352225663 2355166797 2363081847 2367956505 2374220607 2376358827 2378461395 2385152037 2392400397 We're expected to find a twin prime before 20G, and it looks like we got one already There should be one prime every 5-6M, on average. Last fiddled with by MooooMoo on 2007-02-04 at 06:44

2006-05-16, 01:20	#10
pacionet Oct 2005 Italy 523₈ Posts	K= 106105395 (normal prime) Currently I am testing 110M-115M (yet reserved) Last fiddled with by pacionet on 2006-05-16 at 01:21

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2006-05-06, 17:12	#2
pacionet Oct 2005 Italy 523₈ Posts	k= 27204543 but not twin.

2006-05-08, 20:11	#3
victor Oct 2005 Fribourg, Switzerlan 11111100₂ Posts	145651772^195000-1 is prime! :) 145651772^195000+1 isn't. :( The range (10M-15M) will be completed tomorrow.

2006-05-09, 23:01	#6
pacionet Oct 2005 Italy 3×113 Posts	k=102917337 no twin

2006-05-14, 23:36	#9
biwema Mar 2004 3·127 Posts	You can expect a prime every 5M. After sieving to 35T you will find on average a twin every 2430 primes or every 13.5G (means the chance of miss = 1/e in that range)

2006-05-19, 02:36	#11
lsoule Nov 2004 California 2³·3·71 Posts	Well, I just saw the precaution thread and grep'd in the lresults file. Out came the following 1355441732^195000-1 is prime! Time : 90.868 sec. 1369071032^195000-1 is prime! Time : 90.842 sec. 1369486232^195000-1 is prime! Time : 90.849 sec. 1371839372^195000-1 is prime! Time : 90.855 sec. 137391093*2^195000-1 is prime! Time : 135.718 sec.