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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 #1100000004873168147 2,505 digits created 2023-10-25

Value

728484562828168710688051597560137037088885279975305861876711618236989649327728384885987487033589160639148948541061714893399226719781480283005313057467267452725687045250368773257744860931410408179958660275797759628905298113072634472163771316745241087582798819592962371285647882043989932947303555537036312303993894909938146745939629478379361584549791271428931029371736632354988835632160162494383519377227853365416719746537575939497950006960687891808732994563518735140160783302017021772778838155258564246767583260990106517364216473489162533213894476296680710257978373771393259403877585338894799241341189600289259840260419491504410433292866910006101712235194641175038431458347898377388148525935431307401719137919883170815706565932373694183247774624596444441566754569470321434637173976393469060746014364314115765326193341416400701003162643614118516806442800286283027870575730832105729150668870133218624299827185799132398397836889271268380715452206810906266283679320661200353755216957774364643067576493237831808194954563618103015637937427679812848861597468314047334594513847042173648318308440458201413923433292094221684282533190115971849209896359543001748053621321892964459255398047484201759031430936577097920900985266078574246117417613718952590471055372662686651083265132468771609711328543598090401529623459501759000939532633075100576019344945732950583381292394850380173465846730796158777497316366889468226392285195808906069513012883546118345626475322131375245795506346859606145349383585926551886117144191521805216931490551022470303525763675989031156296862765308359021125990858783052429104962201976406259775290393105465851850086880061666228277359137450072811240887489995938142376941715296171938662004017634169708266114761117929878558467890778014478241824120522577913906816023637469830419095841346058097559835049719523578473603649758989932205546200060543180853797366389526317984636003062037347490329316181460323990713616944009450086834199104772079345783005456456946091926249510714912664668467001489940023969752708099365205582402386629911214729124278942091661018912223205944619159716169522714669015723510173106412968655581290231055599273336895815569558938088343399313103328470476315109482500637857697847512763658555764490513208957519929309006337080671592386831890766289200722192432056757710271714389976219964236382937461389920208312947913241799933878294650737553635182405241349939352816563433054352542882203423683357505198559277626312370988057662856893217836922346007789793441300566449543295703125978108598332161
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,554-digit prime (370 intermediate primes).

Certified number2,554-digit prime
Certificatedownload
Certificate chainshow step 8 of 370

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873168147 --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":1100000004873168147},"decimal":true,"detail":2}}'