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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 #1100000000439186906 3,655 digits created before Nov 2018

Value

5367890277730679126312429824904245823970561202183913093120003628701678751791628535876282589389844429174694484716160845546141778333766011114710857461420111575177747607879326939506937605875369062245675538646655989363680148316914965905728067474862120282289728450552289289746820283186525462963527420686690816694543926882444486830598361208966465591915973375192795269294364545499271498889804310700621542152732902845599715331130584549233931237057390598469696392631758906434980534038771631329617625174724748711024910874888525470372581372796658573503204019641154145761717326461823687643353883232115697466525387944314771357943822258368553074714948452520992122422150551277561237833892061439519047809424436285541617053652170312591014387466604911554273335036769474073397487965629777670127719833663069531107929005784894744558655333375917855267236231719369221968989687363697856973766147919041801059023164105193129657236339946262116249370445347341099762755009944633991023465845133096604528329982581817859514373216944031125192198704066418828021331951837427464025424456420982624265682779702332517662791297003595784195134525407380511434257364350856408787286979521394596068391751429126382004445259287978363959984008403237800088485940884734194577540033868387504393538784762301530749054919921364353493830040486015792845817112801003200857966466498554684348149954448570599293232225576326051951118338956391634413716102382942778380318269633917156569009516220335734887026371378503719930156573571434943959998688904408362169243756822254001802406168543333131909985107522890161164740298838045531896607825669775010670845666939590618017247273141085940227750093645300761112228855527774670819781915322758508835083720685898966109592006085214633957395889152741744804351130744090368425293506759398380060602756504781876401348251410014388423333225283772209107240482841534986496004845839431008672343498480018970788231895295083632686631721309878409307345413822311446138001127116963537956606125280963096372634057173115198661123663181471688685280803452300299008192549754331004945244774439507553491518622004932896268431063497633882976975204004305703008895384723636689240604184035440693454015113208512369491742752601093445490716420614421362757553862029382427348837132493661874265934164512945191493780838454640617603526824951782352327289929186857303933023705858951356300168084614962629232248419222439544673038104419067562489227598182972071004296411569645930177369462998846431748269526886536866211386869801038368949240414887524394468884042620124148799132290063360112024480891271041282300053566341177907448253419711488505192883234731812395207669970545128227453951783114927478275297288163024364876340241160865712682249964481799158639533840024721425481107386496889739969085363563185931526151411654447470055118867720113226529936814616709824450002498063985687306493194653616931845611628174469938280723136149608869343554690549988565311743836615003102182275920128368692858022630958752740466851083800316859123321227847919990109982542312946110936728512264091568217636064470082885665041454283376131961469941600772656462053058071449935751568500587493503295327298554186953387979151027568500649126816922232697452304154439043537673180324728282265363872684131364995077491042965524496391732402127747008893998292797226072838006090506297925878559333636331809810028496997976667325737063753491033479234206042058024836715090338771833514199489187186409577886171225219533345611337492399129804712161890854637294362852807155515932601978517692545820645899885469016727153412675704956915931226183922273497037343424796934332555003320908061193558684606329405249684438149898393419988753818426416053197332089829055905949486049360105601
term (4224^1009-1)/4223
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (3,655 digits).

Also proven by an N-1 test (Pocklington), base 23.

Certificatedownload
Certificate chainshow steps
Uploaded byEdwin Hall

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000000439186906 --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":1100000000439186906},"decimal":true,"detail":2}}'