News - November 2011
November 28, 2011
7^805-1: 152951773704270810078881
1602^41-1: 2577985144449735853538609158357040191636020973
1605^41-1: 24026716603359580208951376216376956237350977
1614^41-1: 345536691695246671475468132261292022943
1660^41-1: 43050243557733969578739006782936294920097383
1682^41-1: 1113502879100236329877304580731340761706003486481
1696^41-1: 260913851362921862062229869446145591487992252597946947907
2135^41-1: 478998547442906896923748518765415530541454261
2180^41-1: 10483193192932575861521022277437990841
2218^41-1: 3120921656676646936146442638275305934836105080424284277
2225^41-1: 31745492785737164506729729666198493915175010176625451
10007^41-1: 1242826408477705334681366428586486263703543
November 25, 2011 (Kurt Beschorner)
95131^41-1: 1070495803068587353091945782240801 (GMP-ECM, B1=5e6, sigma=1580037537)
95651^41-1: 130976405091937495199
95651^41-1: 17586611691837248608649887
95651^41-1: 6306284777356241366449790531539
96451^41-1: 106733291458709
2009^283-1: 1747399036136094800856463070491
2009^299-1: 2017253480762753838879108017
November 23, 2011 (Mathew (Yafu - nfs))
17^128+16^128: 43097786681340378587576359055866185053868532383524233846273
November 21, 2011
2006^41-1: 44593899206973318593822765597779070769295915933667
30677^41-1: 2120383150048284683473978320783529773797003403412599214389931977153198114655262005409
Sat Nov 19 12:01:02 2011 Msieve v. 1.47
Sat Nov 19 12:01:02 2011 random seeds: 1ccaf080 0adfb1e3
Sat Nov 19 12:01:02 2011 factoring 296844912832667166559724954942154152502445251547565313401427397748017596845721489993741987517563380382621971179533606793608890511843281621577648269670774475350988709272341633943801 (180 digits)
Sat Nov 19 12:01:03 2011 searching for 15-digit factors
Sat Nov 19 12:01:04 2011 commencing number field sieve (180-digit input)
Sat Nov 19 12:01:04 2011 R0: 784337700638122242472882691698282081
Sat Nov 19 12:01:04 2011 R1: -1
Sat Nov 19 12:01:04 2011 A0: -1
Sat Nov 19 12:01:04 2011 A1: 0
Sat Nov 19 12:01:04 2011 A2: 0
Sat Nov 19 12:01:04 2011 A3: 0
Sat Nov 19 12:01:04 2011 A4: 0
Sat Nov 19 12:01:04 2011 A5: 30677
Sat Nov 19 12:01:04 2011 skew 0.20, size 5.428e-013, alpha 0.814, combined = 5.891e-011 rroots = 1
Sat Nov 19 12:01:04 2011
Sat Nov 19 12:01:04 2011 commencing relation filtering
Sat Nov 19 12:01:04 2011 estimated available RAM is 6143.2 MB
Sat Nov 19 12:01:04 2011 commencing duplicate removal, pass 1
Sat Nov 19 12:03:32 2011 found 3583941 hash collisions in 23289802 relations
Sat Nov 19 12:04:18 2011 added 479 free relations
Sat Nov 19 12:04:19 2011 commencing duplicate removal, pass 2
Sat Nov 19 12:04:33 2011 found 3311561 duplicates and 19978720 unique relations
Sat Nov 19 12:04:33 2011 memory use: 106.6 MB
Sat Nov 19 12:04:33 2011 reading ideals above 720000
Sat Nov 19 12:04:34 2011 commencing singleton removal, initial pass
Sat Nov 19 12:07:36 2011 memory use: 689.0 MB
Sat Nov 19 12:07:36 2011 reading all ideals from disk
Sat Nov 19 12:07:37 2011 memory use: 627.4 MB
Sat Nov 19 12:07:41 2011 keeping 22229114 ideals with weight <= 200, target excess is 116385
Sat Nov 19 12:07:45 2011 commencing in-memory singleton removal
Sat Nov 19 12:07:49 2011 begin with 19978720 relations and 22229114 unique ideals
Sat Nov 19 12:08:38 2011 reduce to 7762442 relations and 7526002 ideals in 25 passes
Sat Nov 19 12:08:38 2011 max relations containing the same ideal: 106
Sat Nov 19 12:08:46 2011 removing 671224 relations and 620507 ideals in 50717 cliques
Sat Nov 19 12:08:46 2011 commencing in-memory singleton removal
Sat Nov 19 12:08:47 2011 begin with 7091218 relations and 7526002 unique ideals
Sat Nov 19 12:09:01 2011 reduce to 7042017 relations and 6855776 ideals in 10 passes
Sat Nov 19 12:09:01 2011 max relations containing the same ideal: 101
Sat Nov 19 12:09:08 2011 removing 481841 relations and 431124 ideals in 50717 cliques
Sat Nov 19 12:09:08 2011 commencing in-memory singleton removal
Sat Nov 19 12:09:09 2011 begin with 6560176 relations and 6855776 unique ideals
Sat Nov 19 12:09:21 2011 reduce to 6532207 relations and 6396485 ideals in 9 passes
Sat Nov 19 12:09:21 2011 max relations containing the same ideal: 100
Sat Nov 19 12:09:28 2011 relations with 0 large ideals: 2906
Sat Nov 19 12:09:28 2011 relations with 1 large ideals: 1074
Sat Nov 19 12:09:28 2011 relations with 2 large ideals: 19171
Sat Nov 19 12:09:28 2011 relations with 3 large ideals: 146603
Sat Nov 19 12:09:28 2011 relations with 4 large ideals: 593974
Sat Nov 19 12:09:28 2011 relations with 5 large ideals: 1386984
Sat Nov 19 12:09:28 2011 relations with 6 large ideals: 1968186
Sat Nov 19 12:09:28 2011 relations with 7+ large ideals: 2413309
Sat Nov 19 12:09:28 2011 commencing 2-way merge
Sat Nov 19 12:09:36 2011 reduce to 3741665 relation sets and 3605943 unique ideals
Sat Nov 19 12:09:36 2011 commencing full merge
Sat Nov 19 12:11:11 2011 memory use: 420.9 MB
Sat Nov 19 12:11:12 2011 found 1888385 cycles, need 1874143
Sat Nov 19 12:11:12 2011 weight of 1874143 cycles is about 131421225 (70.12/cycle)
Sat Nov 19 12:11:12 2011 distribution of cycle lengths:
Sat Nov 19 12:11:12 2011 1 relations: 267421
Sat Nov 19 12:11:12 2011 2 relations: 235754
Sat Nov 19 12:11:12 2011 3 relations: 223998
Sat Nov 19 12:11:12 2011 4 relations: 193956
Sat Nov 19 12:11:12 2011 5 relations: 167561
Sat Nov 19 12:11:12 2011 6 relations: 139746
Sat Nov 19 12:11:12 2011 7 relations: 118101
Sat Nov 19 12:11:12 2011 8 relations: 98018
Sat Nov 19 12:11:12 2011 9 relations: 80303
Sat Nov 19 12:11:12 2011 10+ relations: 349285
Sat Nov 19 12:11:12 2011 heaviest cycle: 25 relations
Sat Nov 19 12:11:12 2011 commencing cycle optimization
Sat Nov 19 12:11:16 2011 start with 10903104 relations
Sat Nov 19 12:11:42 2011 pruned 213185 relations
Sat Nov 19 12:11:42 2011 memory use: 372.6 MB
Sat Nov 19 12:11:42 2011 distribution of cycle lengths:
Sat Nov 19 12:11:42 2011 1 relations: 267421
Sat Nov 19 12:11:42 2011 2 relations: 240555
Sat Nov 19 12:11:42 2011 3 relations: 230597
Sat Nov 19 12:11:42 2011 4 relations: 197109
Sat Nov 19 12:11:42 2011 5 relations: 170384
Sat Nov 19 12:11:42 2011 6 relations: 140173
Sat Nov 19 12:11:42 2011 7 relations: 118383
Sat Nov 19 12:11:42 2011 8 relations: 96938
Sat Nov 19 12:11:42 2011 9 relations: 79073
Sat Nov 19 12:11:42 2011 10+ relations: 333510
Sat Nov 19 12:11:42 2011 heaviest cycle: 25 relations
Sat Nov 19 12:11:45 2011 RelProcTime: 641
Sat Nov 19 12:11:45 2011
Sat Nov 19 12:11:45 2011 commencing linear algebra
Sat Nov 19 12:11:45 2011 read 1874143 cycles
Sat Nov 19 12:11:49 2011 cycles contain 6360905 unique relations
Sat Nov 19 12:12:28 2011 read 6360905 relations
Sat Nov 19 12:12:39 2011 using 20 quadratic characters above 268435362
Sat Nov 19 12:13:17 2011 building initial matrix
Sat Nov 19 12:14:31 2011 memory use: 753.2 MB
Sat Nov 19 12:14:34 2011 read 1874143 cycles
Sat Nov 19 12:14:34 2011 matrix is 1873964 x 1874143 (564.2 MB) with weight 166137720 (88.65/col)
Sat Nov 19 12:14:34 2011 sparse part has weight 127281856 (67.91/col)
Sat Nov 19 12:15:09 2011 filtering completed in 2 passes
Sat Nov 19 12:15:10 2011 matrix is 1870149 x 1870327 (563.9 MB) with weight 166009544 (88.76/col)
Sat Nov 19 12:15:10 2011 sparse part has weight 127237459 (68.03/col)
Sat Nov 19 12:15:17 2011 matrix starts at (0, 0)
Sat Nov 19 12:15:17 2011 matrix is 1870149 x 1870327 (563.9 MB) with weight 166009544 (88.76/col)
Sat Nov 19 12:15:17 2011 sparse part has weight 127237459 (68.03/col)
Sat Nov 19 12:15:17 2011 saving the first 48 matrix rows for later
Sat Nov 19 12:15:18 2011 matrix includes 64 packed rows
Sat Nov 19 12:15:18 2011 matrix is 1870101 x 1870327 (536.0 MB) with weight 132945522 (71.08/col)
Sat Nov 19 12:15:18 2011 sparse part has weight 121808998 (65.13/col)
Sat Nov 19 12:15:18 2011 using block size 21845 for processor cache size 512 kB
Sat Nov 19 12:15:27 2011 commencing Lanczos iteration (4 threads)
Sat Nov 19 12:15:27 2011 memory use: 470.9 MB
Sat Nov 19 12:15:41 2011 linear algebra at 0.1%, ETA 4h27m
Sat Nov 19 12:15:46 2011 checkpointing every 410000 dimensions
Sat Nov 19 16:56:22 2011 lanczos halted after 29577 iterations (dim = 1870100)
Sat Nov 19 16:56:26 2011 recovered 35 nontrivial dependencies
Sat Nov 19 16:56:26 2011 BLanczosTime: 17081
Sat Nov 19 16:56:26 2011
Sat Nov 19 16:56:26 2011 commencing square root phase
Sat Nov 19 16:56:26 2011 reading relations for dependency 1
Sat Nov 19 16:56:27 2011 read 934062 cycles
Sat Nov 19 16:56:29 2011 cycles contain 3177966 unique relations
Sat Nov 19 16:56:51 2011 read 3177966 relations
Sat Nov 19 16:57:09 2011 multiplying 3177966 relations
Sat Nov 19 16:59:43 2011 multiply complete, coefficients have about 113.60 million bits
Sat Nov 19 16:59:44 2011 initial square root is modulo 142607111
Sat Nov 19 17:03:19 2011 sqrtTime: 413
Sat Nov 19 17:03:19 2011 prp85 factor: 2120383150048284683473978320783529773797003403412599214389931977153198114655262005409
Sat Nov 19 17:03:19 2011 prp96 factor: 139995883680695873115452114220858496881834261981124907797896099484389234009808875728990989113689
Sat Nov 19 17:03:19 2011 elapsed time 05:02:17
November 18, 2011
29879^41-1: 2984798539820863610083020105253891981
November 16, 2011
1561^41-1: 330974255036641745543727054876809954100251719832730757
1576^41-1: 2267515681877938923073565196179855068039
1577^41-1: 9642835943894238632618922504459605144851695351995217949
1581^41-1: 611067537446601193235065981834960562180500738700987
1582^41-1: 8873759592598233804294307409545835340556400279442713629099
1589^41-1: 101127986486529993160148331836488421320562881
1592^41-1: 2079909692182962421324934848851725117
1593^41-1: 666643986897059405812447515315630798875867
1595^41-1: 734125965115458320635538194776511770397797144192480754637
1599^41-1: 61206545730061699578723818395717
1612^41-1: 2077299030433393842269533352324262507613757439469159039241
1626^41-1: 985047776084027553913666068349656207195026851
1628^41-1: 5023976883900432132339072636287150738071230809758987
1633^41-1: 1661439253181253298205921071699805079569699
November 14, 2011
9859^41-1: 227209398858026125538942763694489488297221
9859^41-1: 95899452820410098313545294316823766345430877
9883^41-1: 98718988121633359599141676636164996053
9883^41-1: 249287073859539287085534123991476219265109
10211^41-1: 8507784702610609474890409661
10399^41-1: 7114402074286946753217773071
10427^41-1: 4291608320949210728783431873122461
10837^41-1: 28409496186652703846085612706661031998272530673267568383903171467507095449
11631811^41-1: 359667266517923489746215503849
4181885921085199932026755603223899249633180923565337612246467980242235871^41-1: 3006685870140977551
21113014440599594308826305726047178619434286129476549777375471962207157255723^41-1: 3005570578303635052088839
7573342771994130615522569017449106969771683171811814657814243611224093474194720211^41-1: 1875557806816007
61097003103184669235517359417485905028897850322027200141703138362247062800773927423870139498763891657761796267^41-1: 144003452065239827
Changes in Phi41z.txt.
For any prime base z up to 1e8 I tried to (completely) factor the number
(z^41-1)/(z-1) by trial division up to 7919. If this was successful, the
corresponding line was included.
The following 113 lines are removed (until further notice).
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697330677 5741 26217533 80086658987 c4834
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697330713 4019 9349 757537088023 c4836
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697330807 820247 7470673961 c4840
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697331197 83 759477992927 19209977585471 c4829
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697331511 83 821 92222531 c4843
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697331631 83 1231 28565111 91841723 134789786489 30876212631343 c4811
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697331781 110947 18526589 c4844
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697331931 8693 c4852
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697332343 83 1040245306013 c4842
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697332607 83 560965423172177203 8193271444016978819 c4817
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697333227 83 978625721 914010257593 c4833
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697333381 83 2297 13367 35507 c4842
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697333701 2953 306720181 2582033057 c4834
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697334493 83 4019 84090142595430467 c4833
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697334689 83 9349 106109 391961 586301 c4834
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697334721 83 55351 c4849
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697335399 61583 c4851
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697335469 83 39325889 c4846
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697335919 739 c4853
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697336383 2001714137 c4847
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697337103 83 c4854
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697337343 2161620451 52992050807609 c4833
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697337713 2543 10333 16729 2483617 2628347 c4831
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697338033 83 2953 2456803 c4844
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697338253 83 804212758732384283 c4836
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697338307 83 2543 101681 602947 34229917 110279669 c4824
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697338547 2543 16729 7252347205693 c4835
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697339611 83 39607 c4849
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697339833 1231 c4853
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697340049 83 1559 32938663 1069998322871 c4831
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697340077 83 32063 57977363 c4842
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697340427 83 64781 13201919 84209491 c4834
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697340667 3691 9554140459691 c4839
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697340857 688063 1563577 196207563239803 c4830
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697341979 1418171879 c4847
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697342077 83 859279 1079664048517 130942062881958763 c4819
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697342159 83 5741 c4850
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697342281 643619 c4850
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697342297 9308641 180146539 c4841
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697342333 2789 281927071 c4844
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697342593 1723 83427457 p4845
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697342813 29930005577 c4845
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697343137 83 185813 749891 1213109 3682457 48605993 4344626501 c4813
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697343151 83 1231 c4851
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697343467 9103 c4852
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697343733 9431 138007 c4847
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697343877 22469 561763295309 c4840
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697343899 16330889909 1660336618705417 c4830
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697344313 83 821 233316795075467 c4837
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697344849 38377 98729 c4846
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697344979 739 31817 5017253 12687943 c4835
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697345189 3527 1908618394643 24441344742043 81752174072791 91885972857857 c4799
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697345921 414101 5379862643 13715160593 c4830
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697346931 6971 15581 1077563 2985087155591803 c4826
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697347117 83 821 734803 2954789 14388623 p4832
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697347219 1231 66543821 c4845
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697347639 1559 5213561 227739011 244624980623 96168547857509 c4812
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697347777 1231 238949 996344953303313 c4832
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697347841 c4856
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697347843 739 374987 c4847
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24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697356339 83 538249 2044753 c4842
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24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697356883 83 c4854
24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697357033 83 115968173 404222281 c4837
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24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697360831 c4856
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24184431630358017189722420442790936263972733350624509678066930704096840309459344712976298206511417239870211176890697361469 83 7747853 c4847
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6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438600009 83 11071 360637 296781466351 23674982106602557 c11394
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6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438603501 83 37502291 c11424
6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438604089 83 6397 c11428
6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438605253 83 c11432
6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438605481 83 11458763 c11425
6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438607129 9633204286429 c11421
6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438607563 27372262889 c11423
6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438607671 83 9923 299711969 c11419
6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438607897 83 2953 5413 48299 457889 154019207 c11406
6721273289686907511774636887836809913169082984123939152498180899936082689644466222437724121456360784812985343044877886341840965148435181785287515431991515290179919977019606920468761748472631269714236448865438232324929078550494400744530270916805952511899782233889049633380728233438608319 83 821 30341 14002714093 c11414
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November 8, 2011
7^1003-1: 1207580701634840143181469836149
3943^41-1: 2430494064405508798696312932119044503243733
7537^41-1: 3634258012266945718773899521369723724033
9461^41-1: 8525868283155635580492115229971038725810984989084639
10313^41-1: 2392266377284134051419360493823
10313^41-1: 25177730909885828746381879125765466263569
20117^41-1: 337412678533134313814707505259819639399945604948549
21683^41-1: 79464799557951468943858046097313225182733031803453
Any base z < 10^7 with (z^41-1)/(z-1) prime is included (in Phi41z.txt).
Alfred Reich