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 #1100000009130372758 2,680 digits created 2026-09-02

Value

3557216189112165052939956874467951279265440562250632781971453690042773822073637451418076093665954512097770709788942797440685938956404718706720548642146593387678504468256786842023602110661585527170270510040817230353606281520562139845991112667313323080749166663544803347188211748858051941213404170131231347316761862187106062451900731189956920487137846345241982478978782892574669257448930503320471232411522488925482606104390910501058684276959933090910938752962272308627795932110497073914613238348752078528223258725622158226108785124356058268375016026502160992239376487219435061603438254713755168662167729622673031052240327823098977835719414978063291007068339755243080634071339279321122253080236987569871212889470783347858494928588902286761877213884203057600347569281483300661537756129148893265174800401068387837680266912306936739792419889113168966042816529602269902799263398640814022401036055761822805412607675587764703140450072329263344838984718096498227453720555371558441977054679345975929461598027018194924774959053542424554874866375324275119732737420793692167989379681645944829618731463913967552884065214575199563305825931843222551306133939727501510440790322562709563664142083861587168309069486869516148934964263423462046069609589060509938242889485805541737976721242823667590029654928257385107399908580472364404077229772555463875154622519109872164436967802311669820571720430644229691073991018591744127529916345736214599642452482081889389886002041499420897334031583824604759968123038867103260957946249301297646684386546308516790061702875193885046363037129348075178104896883797799765421727277571359662773599197050710774843840550728099667311140442308357210627009518718775264362245780643059751852620099039104998419855805303260532726712211782821780735234808551760071436097606212219935923653909725326423850903144842237714536745742936737519740412305514038341642495324961649373748401037791487484883187888860312765653210172789754053658314340807217081222298106758991558108545401482763939185725352030339948949798273446218530689176136717821347743892871483622454315053491141557227359856540774075689479802120630145883839614719822758907869236897093874982432025101568570272138803595849882179155300763545735439088041402210025138683800324940644271942398213337147254348657291538993718913692751354147632042741820818977911514156895150237525963328468217295309963361738547359186158321690680093476388237192174113597051595509778706147174034001469740734192356999630184851416565046579600129763522984874443314166569553380984383541527812222819536787679370386789179651660743202678942339291402322246713923903613870852718553949679000456483135729042429991148348402194355676600597330060779277534528305387216977691
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 3,159-digit prime (305 intermediate primes).

Certified number3,159-digit prime
Certificatedownload
Certificate chainshow step 45 of 305

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130372758 --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":1100000009130372758},"decimal":true,"detail":2}}'