[PRIMO - Primality Certificate]
Format=4
TestCount=87

[Comments]
Generated by GP/PARI CALCULATOR Version 2.13.4 (released)
https://pari.math.u-bordeaux.fr/

[Candidate]
N=$273783A81996CAD71EB70D8A221A0AD775D98A0BD4EE73761316D3FBEEF3504EA1775C5A8475FD51E4221EC7882C6250047F96A39D6B4C1A158D256514F8563B81A48107B143AAA0199F2143827B543B37A922D2AFBC806F8DA823DF18CC9C0DB1B915B4E11C3116FC2FCF891A931C672BDF2E6FB6E8D05CC1F5B40B76396A6D4512AF1D86FA02CC00968AEA48A9785CD4D8C5ABB21CDB16E2C9FC075A458DF7BF0BDD19C1EC8B7E44A79C901107D69CB509508A6FC975FF1FCA8737E8ECBD71758C540ACEEBB0AF18B830C1AEE79CAACEF3C1F23A2DA96FCF1FE6A67899866819256523199288E5A4C311C3653D9AB5D5899FA04119A3CB7ADC2DA5521F4AFC0404383419B6A0A6A6160732FBB20AD8127F3975565D9B1720833281A8B8978BDCBE94CB37F855FF1E86C9FBC77D9C3C36303A513C1662F3C1DB7236BACA533A2CBC0CB777E6DEE5D2D8A8C2AABA956D5D433A1B791A44B44510E9F32D68C74719197DD880E9D2F2C7836BE1F7F8F762E792C8845F623873DB4615B9FC3FB5FC421454E58BF230DC3E414DC332B9EBE4B45BFBEC70F90D1E2D126AA071DAE68BCE3459F61B9292DA83CFD985DFD7DFA7D7E279E310870F3FEC060C93EBC65FDF33E61EB339615639693CAB9B251DCEBA4B84156B5C9C198CCBD7061FB464E1B571FFF323CE181039A6FE9EB518BF8614E2BC94E6E8E1B779733D53AB6C8496A35C150AAFEBBE16DA3C98FDBE4C29D4BD2574C3BC3A8B8BDAE98EB60C107D1088CFE07A2BCB6952F25B8A16684A434B23D0E6CBFD5D3F00CA34AB8C11C3C4641

[1]
S=0xE8ECF1CF1E02C
W=-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
J=0x3567323C5B9286E62954BB172381DE9FF7EB4DDA10176BC5C422AE45E03A1760C67A26274258100A0290052830C69CA1390B16A6FE4D1ABBD28234AC04E181E6D7BC86E5C2347B416CE05735FAEF0751C973D31F6DBE8A4790DAD235946253BDC1CB051419B16F8178941AB17C3E3847EB5A88A78BE084DFD1EF8A0FB687BE114617CA7A14E8CB38D1487D4030C7BBFAE0358E4F6D51074D498E638FCD040CFDAAF89F52E1240AC2C88CE42B13620D9D97F43F4B5B0A8F576EEA2669B2915269264C66E24107DD7FFEE89D2C86975EBF3B14C55AC2951553C6577E5C0D01E1B4E992C12EF66DF13061A90B99818ED0A01E5B89F07ABD9D17F1B24CB06327F918328003288A856EFD981D6FD603367ACF8D6063AA2B4F987D8B6E74049632D310629E2274F2DE4D4E7E54208241207497B88C22012B4BB407DCC3227F1638BCA70DA94FE12BB1669C2CFBACEE48B52B336EC1422AF0C13B167E09C3CB0EB09D97D79A4D9FD652CD6DD3962F47711637E258720FBA2E27B49773C6A512A6BB15E4B1720459014680BD1B300CA9595B51D2A4309686354BEDF867B47D73B03E4F3BA10EE22F272E0FE713CF89FCC569CADAC3BD15C064642BF47CCF57F698DE71DEB56D06A7B53FC3A3E3F80FB06C7B4371065974C49ADE44C8D51D287896C33C65AE7E8C702309AF21CB94148DCC7F4F2DCBA7D5A0C28E1ADB0D7BF307C4727B197354404B6513358D02C3F3BD38E45395D1F6FEE47F7DCDDDA1D8E1C1529A08B890E38ADE13E14CF59554740A6681981FFE6CA44054DD959324921B29B4DD46
T=0x26ECDAB2E77468103B7BFFA8F093909EE212ECF9E5C7FCFF9F80A901826013233378090E77A237BF65CC9235C98182DD110C5E4F1D37D68A6389E5B2FE03000C4B366187F5056708268A15BA4FA8D42ED78AFA789AEEF947EAC6B12013198F425DAE2DCBCF2371E4695B079FAEF336A8D527A10AFC69545FEE0BFB653BC195841E7A3ADB25481E3A2849AF8F76FA90105FC87271E71E2F54F6EE0310FC9DA621CDA3A6F99D2D13B787A5557C611591F97CD04A924A013F42FD5E51FCB9EFB02321C3E54F63347185F44240B3B17DCA768A7391165B9EF006ECDBCB37D424A8FEF2A3FC5901E4FC5568FEA9A67F3A020609416916BA298EC0E5093A3C4A59FA3407802B1F6A32A6E1AF7F47696A31EEFFEA0C3F186815E4081D339F61B7A0C9267AEB2346E8DEE4B332DD282F54E4C74AF11372362F6D7F02BFEA2308FC976F185BFA800CF3A62ECAFBC67ED48C59066AC1D2083302066D6C44696DE20B2ACE3581E52F72672643899A8A6BECC7C0DF5A7CB61B18B2CE05E3D9A4A06DF2DD03BD491AD09AA4A16D0B54EF62C0BAC79D368A9623EF73AFE01E2EE6CB03306F9FB874C0834F3388A4CFAB5FCCF125553A571802888F45D9C993F3F913D32A0BE37E47FF0BC9B5D390B937D984D3F45D2A81E3143376D688D7C210BE385F3D50482B65E9F3045C8ABC4BE456019E5B2302C7A4C1620D12DB24027D4252D32147E9FECF72A1B024B22FC1BBCA927FC5BE088E73AC3EA5E6899E841F8D6CA3228DBB3F08AB3C3C11DFECC4F500C7F4CFC281F350A608E1611FEAA2043BB309F1908DF

[2]
S=0x2ED1D0A74E7138A
W=-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
J=-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
T=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

[3]
S=0x32F861C2125
W=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
J=-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
T=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

[4]
S=0x666365421CBA6DD76C4
W=-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
J=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
T=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

[5]
S=0x14E36F3397A55B911BE61
W=-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[6]
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[7]
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[8]
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[9]
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[10]
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[11]
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[12]
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[13]
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[14]
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[15]
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[16]
S=0x13DC8221740
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[17]
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[18]
S=0x2036DA271BAADF2
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[19]
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[20]
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[21]
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[22]
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[23]
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[24]
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[25]
S=0x2BD29C5D42EAFD7
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[26]
S=0x4CA3FFF20464BE
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T=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

[27]
S=0x34D3DC67A9AA
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[28]
S=0x303EC40B43D6
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[29]
S=0x1A09BD16E7BDE
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[30]
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[31]
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[32]
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[33]
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[34]
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[35]
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[36]
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[37]
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[38]
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[39]
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[40]
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[41]
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[42]
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[43]
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[44]
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[45]
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[46]
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[47]
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[48]
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[49]
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[50]
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[51]
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[52]
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[53]
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[54]
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[55]
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[56]
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[57]
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[58]
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[59]
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[60]
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[61]
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[62]
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[63]
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[64]
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[65]
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[66]
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[67]
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[68]
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[69]
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[70]
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[71]
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[72]
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[73]
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[74]
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[75]
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[76]
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[77]
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[78]
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[79]
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[80]
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[81]
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[82]
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[83]
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[84]
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[85]
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[86]
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[87]
S=0x8332701DBFA290
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