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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 #1100000004861940331 2,155 digits created 2023-10-24

Value

2779333614757977677291654581843043155840887219604311444701605962263787751250584823098077262837266987647731806818317719184816512132564641825259145217520508921733721526507954673291982569370198156482042592691227798066790347652282094837675628747968669628586988983429021099851975578115008291430646572075087082990073325068478825742981722977389167668461752222346305282400993461879015013855194518038209181879285901496709859761927318528524766784115428527778322841679571601405657633250198945382428784686792399019563122317805019793331180689335295595640677183046374876354240124745572335614603590288429142315624186843418760379411231931021162953774326601374011942975607204975604304490949907472650713327978707704119543298639873706395166808138164622128574676584449013503130562360083673017182085345877194607963111133523060070975962253178626774062039719861384791846931351046085085926472574011310447241249099079507560130803598466776291783357472395915459351272088122232161832072802843200000459872919579944975262932286839297526855569298697323976265601131495656104820519103452745773667742174950734793734917541715147301753112299587496566103559462782535316846434508517012595218447996155196692231780671696990595807810701974772773962102613010421521107510608750746163268796993080294114152282886555803543551470799190461967497239676185586082861653114914638463840306635794406903953654583981822153506300810113541021694780979071993977061465686111080723012848142490770367852043827756298830869041744238823224688041516274531240964915583925177583942915997746601565052781354744907070869244446048323033698179620699527920447624216389305323733292864598676600883285410698803482230150294395613467242904035072495230761385012324653439814074224565490130864984372064990796608820103547234711619275217398480539013447507402499310280828377261545774669836238450517392534590867788633253807761895309711037348569075711660550944303059421474792272394026655624809440316205095580529027436787485318929480095047203122186693704967569930510874387118083134645731875202865257884646362688396083094822979228145596811855350942446702259112502916100762771957483160620925533066582262608424245287546950082674491804531973225303
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 2,897-digit prime (318 intermediate primes).

Certified number2,897-digit prime
Certificatedownload
Certificate chainshow step 77 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861940331 --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":1100000004861940331},"decimal":true,"detail":2}}'