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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 #1100000008215986676 3,706 digits created 2025-05-14

Value

3217441927013129056799053487754780519155493174666636801454214184496797408174504575869429147686540748049159713331173380001059652577572651626376437186853034747676375015851826378785088968010376279424523249711873082505815947651249022354057712403194700504210629846642177611441814915811971973431409857978956186157135966228087887270176996339907695879102494871574767686434975749352029400674056878294521809488615838242641884090203309568274584501772796941950113962219858791341534871281080957267979062984086355031034075304673255333371641711974557895041003058514815443050702807293242717835868349217251808908845935761265169108356693563983743164561320889444770650401270633601240654809602763630886557346148949801806871717606666238914118817381529717043494946153334920911612887295004717533492171237700814854668023160602960888415975189894228878860683563127079539767339869590030350545142886158212694817053364944633746461393168109500874807777970655956448548206048084553160376037218039783528607026751682499564924354488126978106396230830763999756094766779319208410365199445399071322411894541116019440295961290384164174129977149275858181505037277012930951001927734274615013719896770572387653313725097061141574536919907429022829675677759804088598361828903460142889854299776335637319775264036603027025298111725875171053737323376686572056047689022675073299400921879565557202377335025659564193292444519779031848800420417767841651666588625021217714189364635268840204485908143536976391252537218727448166937147006291517947289215239307715172356152008895419778289412531353844770259045989871689035994004978240764668276853948130928443110158235895637150032463572398310354003716005044929826169366524450563288918076689628892074250247233572369968770011661435700264713961013733805872072897540141950847647595250115806791454704757686384772097977190449219107161326872491013623573713986771456059025439273430301534137701130035889134560858665802163615608982132959797408427823680026310311574774385047412908762372883309418025768752008273682946559674107879377319499005574909749905383808539676276172404381431631812167871096861382863980932511806283216539268219633750721710913616617087827798323329097604884239130729384392401563091523514028015957212009810692974878144714982810928672690414844258182096562186351407880201937673110338943531879577203798724452629008944661420385440162394588625377955442577179104839396874060672919634734789669967361302762032368578386277398808058590040772020031902885739790507962666473368662298878983892657634646491953487730135368545637006039206771355281802109988387390806490618020238107980112206631436329771469229105975770715727721620793871209806274484735398534998204369329475619963204281528401638412583558380287267660752915045078218524103195039056654773717159474075822898709101471083450745642185628951462234887330711542071668913300221734349670345416380443330431616439999241150870940753109009173826739067196333022301418764063905574107662867233981602849398026960071074627467703265539511290227475309882133693658615845643674371948133864365981581173987660542756242510398157703620980046609229359204361835232527037193994978821964223114366088111878600081290175280867165464858769908505100951682551412889425251039910548629249270715584989613302935081095822523413672570352381446824005052893169173205579212279235225323453953182966817304489721605193015821202837319277260807031846849377837396015057800364295092103973209728780531402363420946066513447253153916228891590115857220751013089839840891591786369190014270768341404627048781972445942485485157213449231062539765515073025530823710399673242190662028720398916593447127109554444122708112667875570859314275586730975569344058030129986107312121416176420079027881115297693916007102063474128643092773
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 3,724-digit prime (234 intermediate primes).

Certified number3,724-digit prime
Certificatedownload
Certificate chainshow step 2 of 234

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008215986676 --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":1100000008215986676},"decimal":true,"detail":2}}'