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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 #1100000004828080641 4,052 digits created 2023-10-24

Value

15684886169160199560263978790368135290701964410914229008735133754262978382782826765146125313342523798839413179653323893336293904142112725016471905461345414021523789242183096180794364806785142295502238325739348536640591466454177681451799040252986074088660157890016732960694583114014436819274353620575971957644020879530938152542731160107101307165659469002949993189251361520744222020934305492885697086938163954970719739731992110263243109852184866514628036131888763099580810770427233394342837875245868990189949327193937362505249042201049284538953349285210370399485946288708262108423467010545135897998553583680223721610874507570525446254444295134531419562805005238696747493779617587095359476849968851697833329636363337352975875337876527442491105563121958128091459643675620375489973134182271459180968284425839394142610378355622436080766462816397606891684471203968087603705275165078695594395668116226599959792276902315471260386047577427631792735380537712515146949189963471711448019448966616845788962093611326470037637046047857337369931716744616627610390283794361781350639414117589021489952925049867257053267104760922758380701147643315240573337845132358451722613928129726964590736702307670297720762605975491606353543713014679626821147847449205749612919587327923664818748343817014581472239247152235730672632841331312727205980532519652027348038150342415149749324032921668491214406059682215970250132496213731633167343270707622850235572911762611489253323250011102253922300997919301755341959701000816114172106307711075102290377585984565570681090010027146909503504034963501380600029146565984998279317850049684227803051568368307868465800777890571266850906051703401388971891495953093788219403989335174527952357633251297566811936912770355669411488528869415882229671520475404216392127661659447090285031796776295764139600972899691256734127665821600593379905838085018280829594808722917870869751334921259943579840663248146541100336442646445013648533946296796463664159768634811968259982213188276955356578050095113091979029808670563641485502324221973022995118331381517472939941956956550674588437557706764639221260613258218363586275521964883234772354035176012801031232334879118807799283766390863375617815716800628342880044528109267611693615071747672779636875243183088571541987660058021792363646599222078909191534681103566449877699341755174914075786477504949151316702588457481012316519658256373693137920772827123219184648192251463503520199504660527666171266012495131651915439491606991700117171623653366406241128513511401339697428643073996069869216560533197288026308216671873851405566688810233586620730195644481108491781738731279622140565047786492031905857789931727012848892326073797862391177277239179736984042677832403118204286633006223421703338836952575568083819136812194037977169043286889467495248489726923884680436049192503769713231491242710992969611703303135975573172325163817356432090062257626928742539886852752607947927779920813212259859636649664779926582561983693233779335339865603401033228664015318182318823510388548342218367059422453130152104872666647027386874877943130846295099153738467942152982771078114018332237189765303300338125832557798750942252407348449728239052286609120747713349299136106832329667211339002992590643750685564453438981191574199294981842301045910317815970794631533715843234947077860819821351733989227656967263418287665836394365011913174747225786415378230410738327148548067896666450814433032317549984821441406198956579054947437526903497791427393738699449142272368399023889428506816206493736451919946622424390319694381822854076701362073922936180643924450253782510322177712258086606288942113063063088484310561528673691750031185897945418482343401113398143632701621489264748311503071447423617656059402620546399747433564680262615478517267872422954065537028134596099518090841460347720002525842859601295386064470119451065934600570390650755677843356104701206799878873261073993424682428042784845714116630766385117628662701933219193183962287465123021165908299027463431126915825050923447584590350024584806772004041384013908139268166859535767775840913543045031
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 11 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828080641 --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":1100000004828080641},"decimal":true,"detail":2}}'