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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 #1100000004858353851 2,467 digits created 2023-10-24

Value

7799578104960961598323382620361426846872672981621374189939178969518096751561449051161450171652828811544607757779269618170616178074596017276821353319006659680912749818052018229187547435476068020625180798313694792336023039489137598576517091579383514197614010556594505393498541648300307584872943747358502464503618680408494317333594658735272623267464340633077356224495067913020566812279468347407934922022896529413832066978737870706434541095543367707999287661795774570025895535740924831839610328425767600067453237393678345497638452500796985791102421802094610521202171162677881388161132762446675896515216247296065779853770377576074295026127559986923517181388297482211903348614299560074860077569168376761275177426988591341356170113742619916489985734984962138898478402584587428633321991492051466525966338166233939869136724640038715090588684707297761771724387598151512872816577927011353107678121665763065130922221617313225397505532400095552626513257380760001186499197572493112174965082620806785868777725817872865320539877831857498177177634273792715440296521817606910953005342418917854276967405746294410466608833297876353749181160184635644718792218683953296358607183752870503640460493187744114127081482829216434714665511629302193639091838362217842984968306390213168623657423971584732922056947218370151014021231521345638535667970463551960926007181140090218363167947040230105775041759093110398663418654168337585825368298190784277282346351477102687492504033369036855287503387690002467296968328893235623807623854545569864621546615859381374894041947979979098972522222311696544856113456045495509878848857553603733099981652102584789281347224529224482082666786461643692621407503145400209796508789281767269512642752869894262834895039404570285694077317592919643402197242681095509315665832964069744242525841294388351101776454112212842962663074955183451093917650429250405000947207715114501014783557817020348345225701518790006218694628383943836294051724906267769197710051485431682112265771450198011616161678818709570478139016820659712172413672887105930813144888459511491029236949354524409545253933159319827617884971485709544883045162591782469543051530813865882763377538499166631675107373670783247625616560401301995884760527932976338378676476868767704508906304007957363943335708006791937267095011141188676587000594904059596975793436684710106508935204234516111999560171610462249542771613712241287029592093212001567125241999207299216921667303025494324407039498187693084514054745127574007105337
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 2,963-digit prime (330 intermediate primes).

Certified number2,963-digit prime
Certificatedownload
Certificate chainshow step 54 of 330

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004858353851 --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":1100000004858353851},"decimal":true,"detail":2}}'