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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004892677135 1,997 digits created 2023-10-25

Value

40203824643570770783704546994604750310009688225147456752861985692064896487166484506249215743319551009928000835995013926378986060137155736893609758713599747654160198428221020707861036497442588726385113616882332688537782824836957240977819384793261451081379861366012528472808821669653634788452334782429292023737340854675939225473585642639157800030484161026864913651018481329272167464520169248914248842871804186101804866764416837390965520358755257234377034468555770293343340184458110887739960651783024980057624490338301879778888112898669359766871168090359269570372921933115437945727511048035357739934657452411076970018092924703631772620036906804851782649121512985212445260736109004362210454723414356953023139099343656663822423344038962907200994420407317145119397948442224759321698811589861234078625810922995286400190768146864666650870128630977746273878942062231062562570988969890067285563062397623454025151541808626010593395402564055224073949919669079418724070319648605596468598729631700703259467723411825781519957461752274066005895860205966493149954623445235525959144951696938893352990592978039214204735604365094341215705160077842258778614551423487327757911229509181707158709358596868995042117494714186892110370907902985418657962484170941648939182689874868218164606570159476878261473440806368525445767975725724226680594580327915440217390161418553419449156781141795579174023732622700091584908733762476047505247411439207869382816026060399832150365234985756750175354655803643980833588669292690996960699736750081923542892060527992237695066438329759192803965498187324616807590997282289954048434008192314095280650887196677665449962548581443908609825643599740350982942401541319837345972889136352492437077541657623610066264035212808552101808050991128977663587918648143879449723456612775320238883732074344991092633175061737850645152015840456930758930824507557156226866407258628686081950147271836481023536772544456656467429992347805601886290125071831117254760590094805239269946605540174191834049710539971994363
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 2,195-digit prime (268 intermediate primes).

Certified number2,195-digit prime
Certificatedownload
Certificate chainshow step 21 of 268

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004892677135 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004892677135},"decimal":true,"detail":2}}'