factordbrpc · fdb
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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 #1100000007734453147 4,587 digits created 2024-12-27

Value

355248179006855332903410633754770390187514004163689218209672350481892778552430698236008904301565772152852306480640642522351948605602087613824007129383048546643194613373071142042859019934363120517702203988484916385991227188343202893436897743317189163093029173619882733981987807833719786487939948924575450039796901407553231298946494376527450910448383169221056173359327203518226043133943545051054217465161754008665941821526646356308297028506660437548213967827161714655098341074755264776400971886449408294249139590825428456996098759368083909680988258762713098183731713828815305680548382328151972978277265011167230690914281905900154773075763225307004234715137065650250505513431093707765655378776051039304957899463074923510878107481675854894921813785953863152303638949561551307143302737709473064732402976963162812269556274235924813761276116241949492585586323858658193226594521184403770614450284673916135469575958025343278924405306587888003088088249584892790752175898506672634125912672861250238094684824567466914870106495687921491843994696198987859775203885831358807325507027298238460513302888404521106611861194601540306896644350119703067044823009758524678988950581021456708375290191290126951385830468800061994337717332166898314990582805238564976348182894345613956363270527561651030812726002994595056609826691533351563164473678914859278208594062077303151550857241442292709766802869534201749684677889050734572002930543589983115766113498588615416128583018689754970853223123906220341855231238454202407027823325754208887227668981546541533768541633321880613738988386370432510686145362241158358917207635221109396066038486295895556442467644644579466571754539407969569667967013760234159274698582322060465392387476730684656314277674079172314910512099003990978491510853039344040635455249089930293366650525908629908140277785688724774657397957567741847808784603215124327552001940925332650031121864368341504279918871076567321771929276516441450963351628746664222362710236921136039177072630074172309962505309326441087676065549747753589766519145590449949466046104895537124571224455305084257308605061385559861848516341998128280840772500610918809425395577856675780470514017743387999483708603107376000817014612864219538257606564736774279481742434111030307355507406813752104218057492378067118829381252708338664873479488107085172780694341675182062845040832164919084036988740213463528410908902165862714747623096921243131315646452081711000478902096554563579780565770107278111047252261250863174159375163896007134355093232831560191040436740152600392722156328931468429940339828743415927777451967573528449533520625067397415416770608498268400613675280557642598361366994565526316691530647807963492693408638302717116540041270772490639953034301482819970713933115932318771368131091526171730172055269737611712489821850191410942227809974048887637073370120890822219588653055777794018825270758381955750541327938212712031781365759271279358077134560258642697600237844476326643934451701197429250977511647885514557255868091948163746500674774654200246938217046868362102617913787583636579623138692897314778452072695037380452977715846922455493766890283604796530269813404927585631035003004922777374440706137637370606838271962064673615306867511065177094258904634044614945126072383691554220129911410706108106042929488324407806218371472444670724108158544465468677568018081876622837322296396874506183113160764707198135690157996285481164893669723045500161279693520766698868520288300056156144534110424238048537437306875159752487640910518631135905232457637024266664065401432202952736605651834557756494103877162420590844592201942083182199863666444267578401410323242316925746509885091566297000685255697509132751175007704885816625211281493707235773317315841694960208371952167610944399261454370815440058843030744214497673462008613428856713218396660310988080856743783116167776917974501350788817668078559100079023336310591665216665289972047155283722714071329277612540369986670388391166847691412771922362690314714018840876528901852423138240420538290129359915704836144428147731764463191220747893851156428646884929769122493791096287014602388745733172629585589924272601247282907538623392296118025363660377610186084264545185905594731751395923810845255363616790353116128636300366934223463428812235308977501510556320544508254132053970125659140325721807985372375435641288429380338247976917845862521613309966434800253898136889875809364880775124306885170798934983195617827461628013485846928975764970268524225963959471628699336261272199350352084903693526058928599876499012942601903592364041793826718689953195069433925903575784821283051409190862345377029679481727
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 82 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734453147 --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":1100000007734453147},"decimal":true,"detail":2}}'