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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 #1100000009127082025 2,767 digits created 2026-09-01

Value

8845186926535462963459783217275312082995218363235720235320117675044430924104157201642286179649670437383008721365716389849618446725896728364073927625993053993324708428343949331873447067875191022739075515056249562861394702561268308682634596776847949231617589160369973612513518500851694818778488253941754817239883040370636127323087923824240097606975861949433499064532829055049710327751017788832764898830479301937427718881739492518102694167819786387215981677950718000791449388075362159781917974085455213560753200481642798025068361740414695354159262910786922937021671590703891145007706990163694297423620943421260677402583417645280617895932952046149711936396948671803438297148101704597433213382986379239583750567515014170400934861527181656487802757477785171602232339436463885335306429516856646481044345298305093942292613184408432074583619053333236388290262760169703561819272578311466873598313152702596955109469086060879105536635880667912943803338752163135328961061710100042508441123103054621777697201100195679869029481860547200029858765561046405506183514877447385408177241811018630507131695112150568624008135130086755650174718656188100727150815075975439497148176532501423695625434013989518348872426020128875338818826536779856433834543562634001313934711352765654321809616484765643880072347683393101407981938268512750193636794975447388639985785278320466301368131200264993304124867764474030938865667856191151790529867364310665443424581852543139790404467621926561262888669286108655158078663920920082792061946962673956003600308430259603703697874317428628887579984815989477113217684911915932092442597330245420043523423667515330240289439420269865581604543415156174548728334129623442747462325261578663876792717364349346499045416135681554725617178982374127968278901557336327972167472759376873582398861754541008488169428372021127091630909356472900784203518946304923509838101173885148724358931516269579327672982549046223872303957245131485047749480474420755090391385287972166834172370230164768162768548281631442026131416472310780774519558739207087494614424708667576666140734014862101800733294525240134499372327827333528463336692300247026872851807794152271168713493702638875441423795075122206182270411923280630858279057589847875065990798040872774993934126484216552626531076837331756498178953717737057017043058974249040682140918599419382925426716546962240569856872817805449727164688900430892826456483916867196438541786635146057411458875851128116862357620379882415819326048950443633966964595720686461402111560557142375818794636324918590196886702830142575032453950082272883185695324261953194951863183762641251662236353051763101056817319613268585583376583580450780391605114878887029589524833780644601716268998100159713427925949004470311015140269803307069980308691431439159162723162217595777
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 3,127-digit prime (318 intermediate primes).

Certified number3,127-digit prime
Certificatedownload
Certificate chainshow step 36 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127082025 --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":1100000009127082025},"decimal":true,"detail":2}}'