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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 #1100000004880158041 2,096 digits created 2023-10-25

Value

35693720537179494433214360312755109944122883742315289807339479612098652506241121734639004729878729984877223091582028822424124736559023271556495187771740012268790028316244241284660097966767256943352593769794696442155347373090899799653003428258447893089578463209540276674059947412845104828886549757361839517453314799562141909373130404782314263051665236695916269524703687441635585521993688498315134435855321840733788028232549744161548316920739666363805925811203892178657815496593815925298759079581179040750552215744911091541706018084646267340913566584738572392591375120257953995620263158895627391399606917633911114900907815681635640124022522585263837258520339249699241621214152719642694271775448394354772425033499402472215375863341055264248664628908656521899317726882004151507359055605348597519983015492679433702267840865088622480575005370429323064943338749624322205246338211639053778611557821360037744016641082697220780318647685173578733774419869669974479591645528437887312758188328145096354482916786130105857272452298943732635444982236629539438196588104337730469778344325738653924583949201634281187259417853087772743267038013040265811872019962829745423088239237917712616981976490117751508619082148874311322960083471875960123864478881596086603191339632530835710185721089429667639936238223341947579405567903320924388967236033860923500168625265983739384546339466306988927647801368493097746917128017686776559847528821538426292414609767217818994299259015884912182194205841869214734198348685792390892110895145573318487931458689814337348851133190370216929432279545879493815126806958915998846348709772997344570352722032090008849830860259927137108230237529690974915661503375256157552998762338938374046763715130907412313314284868160179767865061235871468357609770082045057638778375398314431558196444939818100303868312822128669401571456558165126640996908060837653368009833171578675464113146279319659140004686907928629193549501944297186050566697526036338102683883057603296184289459473999194616043648268960920321747112857068818440313439851083612289268004972476362842514011479120485773500502977232773806452829263
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 2,397-digit prime (261 intermediate primes).

Certified number2,397-digit prime
Certificatedownload
Certificate chainshow step 34 of 261

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004880158041 --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":1100000004880158041},"decimal":true,"detail":2}}'