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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 #1100000004878371316 2,008 digits created 2023-10-25

Value

3511270234425393083876513165045787515765438554713946679265591107737700480046891734088475358916318073590530222277848968770699399974671479260262850184877366799630995048164625500361156712565198201240693990270544350295330116733001828888701487203006243389661352603881226382678725168766512324750903541039375524126307670580933794619216262319667027446431697157912141462395434484113801060721410639006407837900447715309295075695022000118113645239439985607460984364626563309863197835480201898755454230934361939041153226566666688240781851766018819815624586429514194061499668060338549668505953862913512054739873444319627843588684771655855899791641271971569393069233534260681755412200783992375584221880574870449513789589856348075995583026904585602986094609059180427129312006258411490893042420466220278380509826199700390314442312929248993626422636846281112818907912663867789970288623191515808281863166066454127347075350239857840281369670733836478506221559551622926299732102045380187321656524095189722990755064525882891530095290649945212632186381078100646149127553262044556620911435114550146459996371154145779614284597504588253464488141759516539823683106625320842767609663142307205726974702488854792089888403436436170281447764756521546042880850466774041946504201146775943324792318192735922537073585110195296427157100260872582994321760515250842403753508354943941859523947569547473932939431405578656240095720129169932262631168437194951526809999821133427553455969358018468409793950801464310714161209311902951905837249004278505242852976716882399862461233685428615927980583657569863805110896097745238933868198209336009030838630743765634872016909057223556051642304675693352570390594335876125760338957394392924151581112366238911253838875493949407466458776210450926428463154647037584474881571759834675888252052839110480907228108978191438241656089073138123775087408066005057134868711872153423126394559716693006963528849413864937531591622436744863499061461408278739225313663361694841819227984765440207368680534286090088756512012187983
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,424-digit prime (355 intermediate primes).

Certified number2,424-digit prime
Certificatedownload
Certificate chainshow step 57 of 355

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878371316 --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":1100000004878371316},"decimal":true,"detail":2}}'