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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 #1100000007512648034 3,530 digits created 2024-10-09

Value

37180454561492174136922762648348305120455601091132357441480419225912582369122297255762817625731718411539967530392362622498784179039165647728999411396414073335219893368221625291280198776864882458296849935405619235351042006595019895018640620201651767915768314163527804391656694581439765775279699593741788825990756639107633698421723689102998285428983208028828918682770243041483595916126988019929211407077921616155476483213235644154307708511757338138080884790316940160143135307424035340764344652982434758885353299399487240230626978685151698250719100786255369493155229134310648700604013830494831355447617301408698766070221434784237215081468374056935919240108035616661581926749138471449881886333657900093078814704289077983723196297287981489577905936474017946497539508012785110956182995837723211674669107334705860950045620426781208118505208284969382831384873893592290691153565618204528404762471345406349076906990176869646082917084440571416722954522248277358980056896471496624485343744626022734669959382804775712093831479141037555188422824933937902713843662112202710811714413235139159002228491727588637647785060491018494660014447364598854364467498001837676818246972511358845921545450295091980931021161557642919674706955783781973556225941565808199344560444271157053702728386537888371926173850038083875226913688803085497626342615487380069071704280811830440014985641900952141717521818270379882202619545822344594954814518476998838260145929686568302174527332642531432628217005577507351679382563733759117485535387701814059697818507776442464643516526077616551083163724874127526401147983648101736599328799154415880069692099779447020681005397931834510952484353173834288034494225418402681289323517913293934947917178977402308567562741898813903566323723838488844097250581970811141351863853516014161604776074352852052939467912692722783168789575027422251866835074235035912936541941716650006170347338223617772570779487473445926447991428412530470081622010451275481324967987455088724103860135822741655230440703696625855276086536107336555538191967875263389213579772665821947019130001387182701880125590709818654933390989973351044193922601711482507652029140030025258907839835706297830464661940803017870437260120282943806329923038131363063265714126561073373742782213088120576447453659979718869637196893415802550114002944220672358314008568579818145525095252306037065815278644310934544187927161066815827921750642472045257446372758091800015545226320181610320773205210782186201395701508494754430849806060090487332226208745693601745818685359117526348105919890861468965820069334963749661567596098000756253848012181294065124977333240491724979961200961619256843345607613295284048992788904867531739935196306070724938641463501203601313226316012301503586231942780830208011417112429152507575351936033251335883967361848920828036458418283493118058088235309722869308791400430365003861706817120344457937926687036703094311242387272273540378808974784048435509301431633972396789843547414332833236311056550816339202100176537355660855052006432108984236980225965619543832409531412055663498497207413994146089402721867193500117752366265902199408549215155531268489907621009500638811746800408596507109407079141448600597872427209099439171096278897787949084972497811104901737889495973676069375938300680535015722019764438617531098885759821546969782412415971395470864046186314449694657789805096552055685107836684478732961629468299598377019642067301686609754530410841145202570684029417923131909678965366351349326240683057046379223709231369069690632052370100625898105530259065148280904868493
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 4,097-digit prime (243 intermediate primes).

Certified number4,097-digit prime
Certificatedownload
Certificate chainshow step 37 of 243

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007512648034 --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":1100000007512648034},"decimal":true,"detail":2}}'