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March 31, 2022 2022 年 3 月 31 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=80537: c80537(1111111111......) = 98997936620816701558631 * c80514(1122357848......)

# ECM B1=5e4, sigma=3459219771074912

n=80567: c80567(1111111111......) = 237614342335310020762441 * c80543(4676111299......)

# ECM B1=5e4, sigma=6517012485133803

# 206936 of 300000 Φn(10) factorizations were cracked. 300000 個中 206936 個の Φn(10) の素因数が見つかりました。

# 19950 of 25997 Rprime factorizations were cracked. 25997 個中 19950 個の Rprime の素因数が見つかりました。

March 29, 2022 2022 年 3 月 29 日 (Kurt Beschorner)

n=2773: c2622(2171411783......) = 399155678597075993642585721855751 * x2589(5440012254......)

# ECM B1=3e6, sigma=0:1761429257841097

n=2773: x2589(5440012254......) = 619324111616350475702975927728595284601 * c2550(8783788895......)

# ECM B1=3e6, sigma=0:8238301661507597

n=110221: c110202(3274458571......) = 5850281131860729997 * c110183(5597096102......)

n=110563: c110536(9633604390......) = 198916074227483203 * c110519(4843049727......)

# gr-mfaktc

March 24, 2022 2022 年 3 月 24 日 (Kurt Beschorner)

n=2773: c2652(4243555600......) = 1954284136265233470908751563083 * c2622(2171411783......)

# ECM B1=3e6, sigma=8275802607864457

n=109859: c109838(8130966965......) = 13188872879181827987 * c109819(6165020347......)

# gr-mfaktc

March 21, 2022 2022 年 3 月 21 日 (Kurt Beschorner)

n=60003: c38977(1001000999......) = 1140424855078343303208889 * c38952(8777439351......)

# ECM B1=25e4, sigma=2827598131369570

n=108793: c108787(1702176624......) = 1167704791152468197 * c108769(1457711432......)

n=108907: c108899(1875438333......) = 583880633763310627 * c108881(3212023528......)

n=109211: c109195(3404405214......) = 126937459545462521 * c109178(2681954740......)

# gr-mfaktc

March 21, 2022 2022 年 3 月 21 日 (Paul Underwood)

n=49081: p49081(1111111111......) is proven prime.

# It is the largest known repunit prime.

# https://www.mersenneforum.org/showpost.php?p=602219&postcount=35

# https://primes.utm.edu/top20/page.php?id=57

# https://stdkmd.net/nrr/cert/Phi/index.htm#CERT_PHI_49081_10

March 19, 2022 2022 年 3 月 19 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=62827: c62827(1111111111......) = 7777690806649677716267 * c62805(1428587403......)

# ECM B1=5e4, sigma=3473282770034336

n=62921: c62921(1111111111......) = 4802717418923454899429369 * c62896(2313505072......)

# ECM B1=5e4, sigma=4037487434681691

# 206933 of 300000 Φn(10) factorizations were cracked. 300000 個中 206933 個の Φn(10) の素因数が見つかりました。

# 19948 of 25997 Rprime factorizations were cracked. 25997 個中 19948 個の Rprime の素因数が見つかりました。

March 19, 2022 2022 年 3 月 19 日 (Kurt Beschorner)

n=50041: c49557(7560636958......) = 19199285928625054818523 * c49535(3937978207......)

# ECM B1=25e4, sigma=0:7955970943956376

n=50081: c49173(2704574371......) = 852422867511808915726801 * c49149(3172808326......)

# ECM B1=25e4, sigma=5940992916829042

March 10, 2022 2022 年 3 月 10 日 (Kurt Beschorner)

n=10425: c5508(3836413220......) = 1609108948542966695478682525801 * x5478(2384184877......)

# ECM B1=1e6, sigma=0:3379722065397352

n=10425: x5478(2384184877......) = 14200413472717962745698299857144951 * c5444(1678954547......)

# ECM B1=1e6, sigma=0:6314518817386092

n=107209: c107195(5392128472......) = 4547576407708198481 * c107177(1185714760......)

n=107927: c107918(5607311800......) = 940707248331079717 * c107900(5960740507......)

# gr-mfaktc

March 4, 2022 2022 年 3 月 4 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=44971: c44971(1111111111......) = 15479193868097282334637 * c44948(7178094160......)

# ECM B1=5e4, sigma=7295230555714081

n=62687: c62687(1111111111......) = 26876428905287020627471867364637707 * c62652(4134147118......)

# ECM B1=5e4, sigma=0:5579796336872722

n=80231: c80215(2159911478......) = 1839645269593249353199 * c80194(1174091285......)

# ECM B1=5e4, sigma=8110353428198051

# 206931 of 300000 Φn(10) factorizations were cracked. 300000 個中 206931 個の Φn(10) の素因数が見つかりました。

# 19946 of 25997 Rprime factorizations were cracked. 25997 個中 19946 個の Rprime の素因数が見つかりました。

March 4, 2022 2022 年 3 月 4 日 (Kurt Beschorner)

n=11468: c5505(1752744970......) = 132327211589322363091440449 * c5479(1324553695......)

# ECM B1=1e6, sigma=412850290796073

n=11764: c5505(1009999999......) = 6137387517793439411384306141 * c5477(1645651341......)

# ECM B1=1e6, sigma=5383335464986607

n=50067: c33372(9990000009......) = 194200846806842075182991347 * x33346(5144158830......)

# ECM B1=25e4, sigma=0:5396483357768431

n=50067: x33346(5144158830......) = 2559698594044837286966360354590201 * c33313(2009673655......)

# ECM B1=25e4, sigma=0:4038669283018763

n=106783: c106776(6503320172......) = 503518636524815609 * c106759(1291574869......)

# gr-mfaktc

# 206929 of 300000 Φn(10) factorizations were cracked. 300000 個中 206929 個の Φn(10) の素因数が見つかりました。

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