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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 #1100000004851076754 2,681 digits created 2023-10-24

Value

67853477699466286836862688778153762041479247581601325809246707986989789515195804623007084931423887252535582011936343987701066655167598527680500410842071178876984593564484706847086482624655430541829056321884132626789191474099691848648072794119598680174209483422267068688983758709182733426433574368710049226716472864057685104262347237986459995550270913237703875152166377304788101474137572540256743122175419172193014154196714988995235426800291144684901053855602480178826448480244087297382817543469919356579774233011141855680255836065861589885502002746081730905926291987852119562693000188109257977826164969955027074637335359112805641525463371007195122032345900739164060413042127801113025474367527382935104702897477912528531082457450496375741173829804382776407524238974843137832748326353622618412108628784005671286053568343960686819087498383722128552494817157233265003692662110637581159263199176262909370305121599096103596668935813475614644783382762238450634817519372081459920372723178894755905961520509064948525677684354779366123975475975515268186400625410021876659525227062229468561254414794976248987119146668226787695843997946058929447210118924658437704555341865219955928627029580567433853103984441694805575055094365336942245951439453049227697056972619984937080702111088429608194888133403838950237675777149673092629547134771817288997882353280526374281546204530315055820021978913692745459882096103468338436826770651160700498163864057550040277975566917758729981940071756561929927808994404533571464969616571648601828958778120063508058680597538013795857807688090444605426496961269936670923615527409266780468509002481724329623177915943480947496665493494595240115820678513084942259518662010097374415257612368670322072447194329538332017560758690084527133669268802548100602131537018099557353612088356749142764456467578217381691876678611404514822114217883031908711108179883083416749204325070404256394019283828525607517775688476089921830257267004418491641112187377240211570062590324915980294364113407227276223465628253420919512278965995678422866404308160724783169108794069993556112842479148892597981122467036489946446960666176565515713675336980622734291226069352632058647502265006156005279244188483563374682212612763008238188003712485447262910546863815106041077413445672867728030148228168142527093183046719227278669367854869206530939833670152920355195026972726882269439740945385174566876479398371760982529473142218414084590221872147383128755929476052323426720932272457285336843008914483622454086579911682930050943289505083571326161103632013385040256450473651600985354511719641991287244432641399968060302878639453600890104603279562716676422293130105644500939530169902515489457563542531327644331
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 3,208-digit prime (325 intermediate primes).

Certified number3,208-digit prime
Certificatedownload
Certificate chainshow step 55 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851076754 --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":1100000004851076754},"decimal":true,"detail":2}}'