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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 #1100000004839951037 2,439 digits created 2023-10-24

Value

144577680005811343147893466177892089211965324769674453324933064152835363478500462132780574354922840329176923418424012953151472323796632743149242713389023975989592835192233283525352784431343861239667889483915641759028556682383805681527618560143258977162944750964093780297989376050147831086127148624851588921962504303474167495210172987856408814255650584644723490553720026421615547376814992222857601388713929024177811856143102241701935365600574100733629190113679194878541555275176046544399225025379107588439700642118905675373966550058421982801444148245557688241164187235469030645848094483798284804785323358092176245060471823297608763611445504634845943821262989889858275129524859848737358486858578866961626790104222536515303945009688504729677540758114648454022841282181106597772370063703327420912070744535899429732032141132964147429172652755489830041339731347281049722639288214634745512095669927286741373768070647109735012497924738416519823604545316593555119926283772194487566273730722615509824921541987871300181277043822947557214375346821631859829886216620259911125419215469125224193865466598890029242035583062446994876994999065141266616428074666724260896777555932634230006975930442311296055505650176723239200929482139429060464659450553502621214896709844113273588553416593736530193940377821572072891321154222452502385689669978827598982246601940051080206600929988651732955155584096433832063971380932647350681264645003768482404608964568687198634176478018432693194968682245030620040578478023822405891225269940662363825171851081849597105645740591507454955888689692777878117579596110593339231487421683101863537763995020004293568251920327918545692699438254267292353459052664608045434435587168620710834815998393548581113586955335128920615717795865134772712303764455107521850197408464340965464820036933565672179466330239839542365218781989878304044041921265966101462843845789066598935925951559726505212906088270129102128219836268225356976338920674610595833874811423122433031171186380616683225606743391354349040146046326965636118720004581426421352380965890170576887158985953418840783336701357341903705417279286636476352272099671834555905071575336060411074174707208973644075257974835436000521227277007181134363786115750785843546573846117319551651761824021361969663019122647100509800302793782374718768652962665911176840212482690656479633103800818634283170322182698687299962289288031372923029896889166092290804028003529049361014891744208534014885952744093
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 98 of the certificate chain of a 3,512-digit prime (353 intermediate primes).

Certified number3,512-digit prime
Certificatedownload
Certificate chainshow step 98 of 353

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004839951037 --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":1100000004839951037},"decimal":true,"detail":2}}'