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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 #1100000008678588448 2,017 digits created 2026-03-11

Value

1712249083295736086413274816831280630592303831437035809289416143499758855241179800128929587707610614772794747893332414047771371692694267880035829856850267014394715442561513647407332859700849399607466909285634932200814410901755159874312390156075899931084321447737679293987842722749183122499540713615293053222227692238361809747588532797681689092077879180102952729356755429208095421958153220045665054033268071077951180581783266528970325073742814021925573192286256185819768480052715768736890268876224177270880344183601888535528570523519386354719805656419530543396257653308835204096991338611446376010514839392858695484839355533500214474647013916230477194979057284448163354972047630435593799179269160832517506813243425508873484500640926583220509336351613964206390929644700498759240960061407201639346095423421564404920120918415154713495791575772547722454030302016379014779561031204793410681366839825165217153778469249434033182025959998231516066630149961493475490000206694345549484946848028636712005746070592616713042239511255904393489273959043378756186582717041001653274173807248046817629335135748033048247611549298586961281719121734305202224833018058497576039546074437695859868575082117668574562723567660841175449629556694945988766681467437474382331039566014112568225534192252448225308795197551664922281436945819654092645067659018424218351537448445937157132788298829412257897029983609054861146980747938830871272962519099203896456859776791588032225926048337990515922139689278565285758776985907882292768471812550105070863204734258148675990294508821739550189895085864518329668860967040224511646830050269623865932939834865720204019128296776049082277118245994819539867159724105233842825014211248456255940328021700728402189358210429980582665947274851179631862888922713980669833771067615179657019207037051847300333689506161028610028950474807701009655300204729851585179722015519900556320439330490499822492487786620184403829390867799806596011371119059773505303024497279040199426233395069959141233320769742076343893690018547783222111
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 2,394-digit prime (160 intermediate primes).

Certified number2,394-digit prime
Certificatedownload
Certificate chainshow step 26 of 160

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678588448 --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":1100000008678588448},"decimal":true,"detail":2}}'