### February 26, 20142014 年 2 月 26 日 (Kurt Beschorner)

n=4539: c2806(1328896223......) = 118777574166267077360801431884976762184923 * c2765(1118810712......)

# ECM B1=1e6, sigma=2487209557

n=4585: c3093(2155169614......) = 122185863069298402655235796871 * c3064(1763845309......)

# ECM B1=1e6, sigma=2526805917

### February 25, 20142014 年 2 月 25 日 (Kurt Beschorner)

n=4441: c4435(4811400324......) = 20247286213489858061260882092946243 * c4401(2376318620......)

# ECM B1=1e6, sigma=166509083

n=4531: c4306(1052074287......) = 59152742213483330689409587717 * c4277(1778572299......)

# ECM B1=1e6, sigma=270070065

### February 18, 20142014 年 2 月 18 日 (Kurt Beschorner)

n=4501: c3839(1983275161......) = 248278749415584393018365399 * c3812(7988098726......)

# ECM B1=1e6, sigma=540093768

n=4597: c4597(1111111111......) = 49517362821841381162768425182671 * p4565(2243881838......)

# ECM B1=1e6, sigma=2596273868

```Primality testing 2243881838...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 17
Running N+1 test using discriminant 29, base 16+sqrt(29)
Calling N-1 BLS with factored part 0.27% and helper 0.20% (1.02% proof)
2243881838...... is Fermat and Lucas PRP! (1.7816s+0.0183s)
```

# 1080 of 100000 Phi_n(10) factorizations were finished.

# 75920 of 100000 Phi_n(10) factorizations were cracked.

# 116 of 9592 R_prime factorizations were finished.

# 7464 of 9592 R_prime factorizations were cracked.

```The following 126 probable prime factors are not certificated yet.
n=4597: p4565(2243881838......)   http://factordb.com/index.php?id=1100000000645809294
n=5237: p5192(8225727009......)   http://factordb.com/index.php?id=1100000000021164062
n=5323: p5277(5494980776......)   http://factordb.com/index.php?id=1100000000013354497
n=6119: p5837(3754893657......)   http://factordb.com/index.php?id=1100000000416753186
n=7597: p7380(2662259922......)   http://factordb.com/index.php?id=1100000000476127140
n=7745: p6175(2562004991......)   http://factordb.com/index.php?id=1100000000559428116
n=8223: p5371(1070563618......)   http://factordb.com/index.php?id=1100000000419315002
n=10679: p10398(3212734537......)   http://factordb.com/index.php?id=1100000000587092362
n=10703: p8264(5790721458......)   http://factordb.com/index.php?id=1100000000596419742
n=12351: p7775(2639345918......)   http://factordb.com/index.php?id=1100000000589822155
n=12413: p12382(1389253690......)   http://factordb.com/index.php?id=1100000000013490240
n=14011: p13957(3202159838......)   http://factordb.com/index.php?id=1100000000575379519
n=14485: p11566(1953572169......)   http://factordb.com/index.php?id=1100000000615401029
n=14582: p6934(4212511300......)   http://factordb.com/index.php?id=1100000000032355112
n=14825: p11812(4191829575......)   http://factordb.com/index.php?id=1100000000583602914
n=15332: p7647(3599323721......)   http://factordb.com/index.php?id=1100000000014723489
n=15472: p7724(6462870742......)   http://factordb.com/index.php?id=1100000000014723987
n=15728: p7851(2119357982......)   http://factordb.com/index.php?id=1100000000014724861
n=15934: p7655(9398162882......)   http://factordb.com/index.php?id=1100000000032355349
n=16597: p14213(3389166928......)   http://factordb.com/index.php?id=1100000000032433692
n=16815: p8343(8867846097......)   http://factordb.com/index.php?id=1100000000032435874
n=16886: p8406(2001272104......)   http://factordb.com/index.php?id=1100000000636162381
n=18170: p6846(5144476898......)   http://factordb.com/index.php?id=1100000000032355788
n=18827: p18480(9000000000......)   http://factordb.com/index.php?id=1100000000032454351
n=19498: p9730(8251811537......)   http://factordb.com/index.php?id=1100000000014739626
n=20233: p20211(4205088806......)   http://factordb.com/index.php?id=1100000000013669684
n=20581: p18686(3423440887......)   http://factordb.com/index.php?id=1100000000587111590
n=21148: p9883(2211679650......)   http://factordb.com/index.php?id=1100000000591597385
n=21469: p18369(2534810559......)   http://factordb.com/index.php?id=1100000000615459222
n=21786: p7256(2521977139......)   http://factordb.com/index.php?id=1100000000032356709
n=21858: p7276(1149947374......)   http://factordb.com/index.php?id=1100000000032356727
n=21865: p17480(4725842171......)   http://factordb.com/index.php?id=1100000000032485925
n=22327: p21964(1003011728......)   http://factordb.com/index.php?id=1100000000032491510
n=22575: p10060(1762423748......)   http://factordb.com/index.php?id=1100000000032494459
n=23572: p11466(4152899286......)   http://factordb.com/index.php?id=1100000000591599582
n=24466: p11262(8383530241......)   http://factordb.com/index.php?id=1100000000032357453
n=24792: p8245(7484034255......)   http://factordb.com/index.php?id=1100000000015780486
n=24832: p12274(4612171090......)   http://factordb.com/index.php?id=1100000000602433947
n=25722: p8564(1297186619......)   http://factordb.com/index.php?id=1100000000032357932
n=25973: p24567(4967369915......)   http://factordb.com/index.php?id=1100000000597306296
n=26008: p12958(2371385622......)   http://factordb.com/index.php?id=1100000000615703735
n=26601: p17724(2959900507......)   http://factordb.com/index.php?id=1100000000032542308
n=26982: p8951(8406608028......)   http://factordb.com/index.php?id=1100000000597306316
n=27472: p12779(2206236194......)   http://factordb.com/index.php?id=1100000000015790968
n=27496: p11737(5951904519......)   http://factordb.com/index.php?id=1100000000015791070
n=28455: p12912(1713313150......)   http://factordb.com/index.php?id=1100000000615703749
n=28952: p10998(1599236780......)   http://factordb.com/index.php?id=1100000000615703752
n=29091: p19374(3948526192......)   http://factordb.com/index.php?id=1100000000032553440
n=29141: p23745(4638933562......)   http://factordb.com/index.php?id=1100000000615704066
n=30452: p14469(1040925734......)   http://factordb.com/index.php?id=1100000000589745584
n=30650: p12224(1815469202......)   http://factordb.com/index.php?id=1100000000032359447
n=30744: p8629(1825038389......)   http://factordb.com/index.php?id=1100000000015803663
n=31213: p24677(2908101418......)   http://factordb.com/index.php?id=1100000000615704078
n=31254: p10410(7175573812......)   http://factordb.com/index.php?id=1100000000032359627
n=31590: p7768(6960331352......)   http://factordb.com/index.php?id=1100000000032359729
n=32184: p10603(6671042459......)   http://factordb.com/index.php?id=1100000000615704083
n=32302: p15582(7580428912......)   http://factordb.com/index.php?id=1100000000615704087
n=32481: p21600(9999999999......)   http://factordb.com/index.php?id=1100000000556949265
n=34278: p10955(5420339387......)   http://factordb.com/index.php?id=1100000000615704117
n=34474: p15652(2718591171......)   http://factordb.com/index.php?id=1100000000031223055
n=35712: p11499(1854921265......)   http://factordb.com/index.php?id=1100000000615704122
n=37751: p32314(8689034915......)   http://factordb.com/index.php?id=1100000000615704125
n=38673: p25763(1136317924......)   http://factordb.com/index.php?id=1100000000615704126
n=41470: p13434(6631229424......)   http://factordb.com/index.php?id=1100000000022717472
n=41550: p11034(3760490463......)   http://factordb.com/index.php?id=1100000000022717730
n=43106: p18450(3377757599......)   http://factordb.com/index.php?id=1100000000622234960
n=43566: p14139(6962562835......)   http://factordb.com/index.php?id=1100000000022724114
n=44606: p22298(1019011701......)   http://factordb.com/index.php?id=1100000000022727396
n=47468: p23732(9900990099......)   http://factordb.com/index.php?id=1100000000022736528
n=47498: p20160(9090909091......)   http://factordb.com/index.php?id=1100000000022736618
n=47520: p11504(8700248466......)   http://factordb.com/index.php?id=1100000000615704186
n=47560: p17904(2209194873......)   http://factordb.com/index.php?id=1100000000615704191
n=49081: p49081(1111111111......)   http://factordb.com/index.php?id=1100000000013937242
n=49671: p33095(2285982058......)   http://factordb.com/index.php?id=1100000000615704201
n=50131: p50068(2479448013......)   http://factordb.com/index.php?id=1100000000575655925
n=51300M: p6475(1949313938......)   http://factordb.com/index.php?id=1100000000022749153
n=51660M: p5754(4036177735......)   http://factordb.com/index.php?id=1100000000022750359
n=52028: p25995(3330698075......)   http://factordb.com/index.php?id=1100000000022751617
n=52062: p17353(1098901098......)   http://factordb.com/index.php?id=1100000000022751729
n=52066: p22288(1332570450......)   http://factordb.com/index.php?id=1100000000022751752
n=55315: p37998(3725063207......)   http://factordb.com/index.php?id=1100000000314608933
n=55601: p43057(1000000000......)   http://factordb.com/index.php?id=1100000000563716320
n=57740M: p11545(2824060999......)   http://factordb.com/index.php?id=1100000000022770929
n=58962: p18944(1338567545......)   http://factordb.com/index.php?id=1100000000022775164
n=59220L: p6614(4606819083......)   http://factordb.com/index.php?id=1100000000022776045
n=59340M: p7393(2555229610......)   http://factordb.com/index.php?id=1100000000022319751
n=59772: p18688(9901000000......)   http://factordb.com/index.php?id=1100000000022320970
n=64060L: p12809(2824060999......)   http://factordb.com/index.php?id=1100000000022333805
n=64410: p16115(1233544571......)   http://factordb.com/index.php?id=1100000000022334904
n=65626: p28057(1459800300......)   http://factordb.com/index.php?id=1100000000615704360
n=65924: p32926(4189483724......)   http://factordb.com/index.php?id=1100000000636311936
n=67347: p38382(7391571857......)   http://factordb.com/index.php?id=1100000000615704363
n=67366: p31075(5442877005......)   http://factordb.com/index.php?id=1100000000615704364
n=68102: p32033(1099999999......)   http://factordb.com/index.php?id=1100000000557665558
n=70740L: p9361(1000100005......)   http://factordb.com/index.php?id=1100000000615928441
n=70842: p23613(1098901098......)   http://factordb.com/index.php?id=1100000000293897389
n=71400: p15352(5670284275......)   http://factordb.com/index.php?id=1100000000615704371
n=72184: p30906(6297664618......)   http://factordb.com/index.php?id=1100000000615704376
n=73094: p29832(9090910000......)   http://factordb.com/index.php?id=1100000000556949394
n=73808: p31585(1000000009......)   http://factordb.com/index.php?id=1100000000556949493
n=74112: p24556(1016058865......)   http://factordb.com/index.php?id=1100000000615704390
n=75740M: p12953(1371715669......)   http://factordb.com/index.php?id=1100000000615933369
n=76537: p76529(1680243818......)   http://factordb.com/index.php?id=1100000000021230909
n=77050: p29027(1553899293......)   http://factordb.com/index.php?id=1100000000636541242
n=77061: p48301(1758205326......)   http://factordb.com/index.php?id=1100000000615704405
n=77077: p55441(1000000000......)   http://factordb.com/index.php?id=1100000000563445641
n=79560: p18417(2260354660......)   http://factordb.com/index.php?id=1100000000636695277
n=79710: p21248(9100090999......)   http://factordb.com/index.php?id=1100000000556949246
n=82360: p31360(9999000099......)   http://factordb.com/index.php?id=1100000000556949424
n=83967: p51639(4884525227......)   http://factordb.com/index.php?id=1100000000596833389
n=85113: p48339(7099610268......)   http://factordb.com/index.php?id=1100000000415323025
n=86154: p28202(1821117073......)   http://factordb.com/index.php?id=1100000000615720928
n=86340M: p11491(7801769750......)   http://factordb.com/index.php?id=1100000000593024392
n=86453: p86453(1111111111......)   http://factordb.com/index.php?id=1100000000046752372
n=87114: p29020(5179196579......)   http://factordb.com/index.php?id=1100000000615720934
n=87312: p27116(5668758151......)   http://factordb.com/index.php?id=1100000000615720957
n=88676: p37993(1009999999......)   http://factordb.com/index.php?id=1100000000563733924
n=90312: p29116(1107149590......)   http://factordb.com/index.php?id=1100000000615720958
n=92092: p31681(1009999999......)   http://factordb.com/index.php?id=1100000000556949529
n=92712: p30897(1000099999......)   http://factordb.com/index.php?id=1100000000556949399
n=93420L: p12372(1989086709......)   http://factordb.com/index.php?id=1100000000615934614
n=93811: p93765(2592502388......)   http://factordb.com/index.php?id=1100000000530981325
n=93914: p46945(2805905158......)   http://factordb.com/index.php?id=1100000000022414371
n=94100L: p18788(5376763212......)   http://factordb.com/index.php?id=1100000000615934625
n=96684: p27594(2048115086......)   http://factordb.com/index.php?id=1100000000615721010
n=97098: p32350(1718114428......)   http://factordb.com/index.php?id=1100000000536289244
```

### February 17, 20142014 年 2 月 17 日 (Propper)

n=640: c256(9999999999......) = 15426023502522488030607387700105870831428809697868716409941105675494726401 * p183(6482552031......)

# snfs

# 1079 of 100000 Phi_n(10) factorizations were finished.

# 75919 of 100000 Phi_n(10) factorizations were cracked.

# n=640 was the 6th blank Phi_n(10).

# n=640 was the smallest blank Phi_n(10).

### February 11, 20142014 年 2 月 11 日 (Maksym Voznyy)

n=10455: p5109(3759996113......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_10455_10

### February 10, 20142014 年 2 月 10 日 (Kurt Beschorner)

n=1110: c288(9100090999......) = 20405858262551036238097198927251201795324405825413199508017546361 * c224(4459548274......)

# ECM B1=26e7, sigma=2744456406

# 75918 of 100000 Phi_n(10) factorizations were cracked.

# c288 was the 4th smallest blank Phi_n(10) in the list.

### February 1, 20142014 年 2 月 1 日 (Kurt Beschorner)

n=4427: c4158(8341759661......) = 9423561647642347762247901867413 * c4127(8852024291......)

# ECM B1=1e6, sigma=3556420361

n=4523: c4483(5437759358......) = 25259449262007310707041147677 * c4455(2152762438......)

# ECM B1=1e6, sigma=4000689009

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