factordbrpc · fdb
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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 #1100000009073140319 1,869 digits created 2026-08-11

Value

616129427637022343514605002158787571067486546447460200621858803325266692273577681469043289231420629354254504221237978327897322645100143782625240343831393364604387331624852889403137756712838839532375738497974889232249075978951908293339162067265716398731151669881387945992269069826067328447364745004773320261566233119877769283263894739819118237303987793457165211343257258054649739176048372336440246880194820733496620109133739624281640925400655049911634742130344025656572954346463433490161113480073460621769616740829119881677698776361352196352075676031139454871634396709997977414873896354363663678437094703114646891997037226927815431881476639686699853430054805311347722118974818665138239409354438943735818547519134459506306607414529322265518793740021448365769194512898526754135596469578117756538833919949864081471265627899345090792160544614395352381143859137390369696099740993158813290001570588852782023411103713560884058933096738278121330411821377683815576692352587054693837447221235724917433771752939063632527912047090965804171496638674810849825770579609070181938328775843181040693675014584700724154791801976300789606412458918844008393179140020052033461126716949109294211562909956084504052495479056408005864644896452079207386151048625893174156541785947042722674914825760179366449771746447669980851404208737549384170998114037743554594478904678935629818949596414122183223684944401635787695206514584008563657987946535084934371342904718683325133870930253257840785106355958076524338744412723008523374336045541614160233566443404186297435592263024151168249393731551288671969549707681019050241149660606363193125818029657587302335402029893022426221792174446118747858090291530313099067624630751823995843980335147109809209173202010473002282448377801947284012335916611899528195172762143902279403888376850334000527402824882618409073783214543742188836450810499414397609497704157388791
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,119-digit prime (164 intermediate primes).

Certified number2,119-digit prime
Certificatedownload
Certificate chainshow step 23 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009073140319 --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":1100000009073140319},"decimal":true,"detail":2}}'