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August 30, 2012 2012 年 8 月 30 日 (Alfred Reich)

n=20043: c12481(1001000999......) = 67754335972188457279 * c12461(1477397698......)

# 74822 of 100000 Phi_n(10) factorizations were cracked.

August 27, 2012 2012 年 8 月 27 日 (Alfred Reich)

n=19812: c6048(9901000000......) = 24500656209549428221 * c6029(4041116252......)

n=19842: c6613(1098901098......) = 402051843513286948851343 * c6589(2733232334......)

n=20006: c8569(1099999890......) = 1144426031704372526891362463 * c8541(9611804166......)

n=20026: c8640(9090909090......) = 362372750713533942076983251 * c8614(2508717632......)

n=47424: c13824(9999999999......) = 50883387572186775757633 * c13802(1965277957......)

n=47450: c17280(9999900000......) = 2391579523528001 * c17265(4181295207......)

n=47484: c15817(1000000999......) = 147622263501879803089 * c15796(6774052749......)

n=47490: c12656(9100090999......) = 394706367233010571 * c12639(2305534380......)

n=47502: c12097(1000999998......) = 8135887952842651 * c12081(1230351259......)

n=47520: c11520(9999999999......) = 11493924613839361 * p11504(8700248466......)

Primality testing 8700248466...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 14+sqrt(19)
Calling N-1 BLS with factored part 0.06% and helper 0.01% (0.20% proof)
8700248466...... is Fermat and Lucas PRP! (72.2486s+0.0177s)

n=47560: c17920(9999000099......) = 45260833352611441 * p17904(2209194873......)

Primality testing 2209194873...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 9+sqrt(19)
Calling N-1 BLS with factored part 0.08% and helper 0.05% (0.28% proof)
2209194873...... is Fermat and Lucas PRP! (187.6661s+0.0118s)

n=47564: c20240(9900990099......) = 611977599248235001 * c20223(1617868057......)

n=47570: c18480(9091000000......) = 14224619142111241 * c18464(6391032272......)

n=47608: c21601(1000099999......) = 19081789427737386810235337 * c21575(5241122714......)

n=47610: c12144(9999999999......) = 2071897545005543251 * c12126(4826493483......)

n=19801: c19801(1111111111......) = 965333781035778881 * c19783(1151012357......)

n=19827: c13212(9990000009......) = 1758156725213932026079 * c13191(5682087305......)

n=20013: c11425(1109999889......) = 110362758514492712803 * c11405(1005773962......)

n=20029: c20029(1111111111......) = 671201429674903832893631 * c20005(1655406353......)

n=20101: c20101(1111111111......) = 54554379086072798486809 * c20078(2036703798......)

n=20167: c16633(1111110999......) = 1640579775001924597 * c16614(6772672788......)

n=20181: c11161(1000000000......) = 66576056915906119 * c11144(1502041494......)

n=20215: c14881(1111099999......) = 1640504768868996791281 * c14859(6772915392......)

n=20249: c20249(1111111111......) = 32774294667307717849893037 * c20223(3390190765......)

n=20255: c16200(9000090000......) = 4514644868403535231 * c16182(1993532218......)

n=47511: c31668(9990000009......) = 46302092758602725076523 * c31646(2157569866......)

n=47521: c47521(1111111111......) = 2145470946570188323 * c47502(5178868130......)

n=47557: c45036(9000000000......) = 69961455087287917 * c45020(1286422643......)

n=47637: c30889(1001000999......) = 433734478465843 * c30874(2307865871......)

# 1054 of 100000 Phi_n(10) factorizations were finished.

# 74821 of 100000 Phi_n(10) factorizations were cracked.

# 7385 of 9592 R_prime factorizations were cracked.

August 27, 2012 2012 年 8 月 27 日 (Kurt Beschorner)

n=3149: c3002(5164221065......) = 1114561213381398778792887210614717 * c2969(4633411788......)

# ECM B1=1e6, sigma=4279144156

n=3151: c2971(2468982101......) = 581697172994255260097884036639 * c2941(4244445763......)

# ECM B1=1e6, sigma=3089793912

n=94201: c94193(7020898075......) = 332241633092203 * c94179(2113190333......)

# mfactc

n=94229: c94222(1034351185......) = 15398305956599 * c94208(6717305062......)

# mfactc

August 23, 2012 2012 年 8 月 23 日 (Kurt Beschorner)

n=3149: c3030(1243711827......) = 2408324143648715515074192347 * c3002(5164221065......)

# ECM B1=1e6, sigma=3980917101

n=94079: c94063(2100325192......) = 8186318921601013 * c94047(2565652783......)

# mfactc

n=3143: c2679(5558738835......) = 430830467584522499728334796462649 * c2647(1290238099......)

# ECM B1=1e6, sigma=4170843471

August 18, 2012 2012 年 8 月 18 日 (Kurt Beschorner)

n=3133: c2845(1419881434......) = 1119677288343374074690507 * c2821(1268116669......)

# ECM B1=1e6, sigma=3787841540

n=93811: c93780(1658262478......) = 639637782545831 * p93765(2592502388......)

# mfactc

n=93983: c93960(1901069287......) = 142782390356852117 * c93943(1331445203......)

# mfactc

n=93997: c93982(3013198678......) = 365381384577166681 * c93964(8246721933......)

# mfactc

# 1052 of 100000 Phi_n(10) factorizations were finished.

# 108 of 9592 R_prime factorizations were finished.

August 13, 2012 2012 年 8 月 13 日 (Kurt Beschorner)

n=3119: c3110(2213190285......) = 19185977060643995754920531321 * x3082(1153545779......)

# ECM B1=1e6, sigma=3457671587

n=3119: x3082(1153545779......) = 81890945537773959968351017081 * c3053(1408636536......)

# ECM B1=1e6, sigma=3433117347

n=3127: c3016(9000000000......) = 2602508317866414341628501587849 * c2986(3458202203......)

# ECM B1=1e6, sigma=3797035814

n=3131: c3000(9000000000......) = 2312309983594439136718590079 * c2973(3892211712......)

# ECM B1=1e6, sigma=862774143

# 74792 of 100000 Phi_n(10) factorizations were cracked.

August 7, 2012 2012 年 8 月 7 日 (Polybius)

# via yoyo@home

n=1065: c561(1109988900......) = 397164002643826130125087954878602440787245257923521 * c510(2794787273......)

# ECM B1=110000000, sigma=1127504960

August 7, 2012 2012 年 8 月 7 日 (Kurt Beschorner)

n=3109: c3093(1797777599......) = 170893232006209015097409107 * c3067(1051988764......)

# ECM B1=1e6, sigma=3497322710

n=93739: c93730(1044154564......) = 37790022192158969 * c93713(2763043005......)

# mfactc

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