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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 #1100000009075739986 1,901 digits created 2026-08-11

Value

10649020416838893152462844914941914103648745173096706033915582554762242130053594822684273168654575413332644508017370083195576352596324675646380041599588722177004942038541919701013277430784579246592554548120511685384287853170024342919881423888594639171954110480621228314342483800660938714692857246136427942197078824855348857608297557890183661721081874937119752610312280904873114354770599769194687537218185233116788474821941464935097187501081828879007394344819501196231163636113115756516030102386835792815229633526414391715072505122888333752260587755899159153547617058069403603426854514094906102595306873949159519738975565575435665779710948777658919837634063890195410404090395716923434681176606013096089611623100809094451585507811670879929090431137896135582496073897318131544196391488572846350476660352935843392782187840507617922963991067156303952240792770134672182506266192563603253074159918242139723097625519088199000901252000221680013489316642755874418681045928906775178136967304750871087360134040217386354222856768085177390707262991331017391670491193054253902430035945019201667076789939398025425456001539422198964118332154960613423069913684078591219404521930165494648180567816374401706504337972765743305165843231521593627473685603518971212379887313152374410746204352412215552929765676097170677394240961000024990330634740162524028953495514607711416814851430163578209070654084623619826537822836661513452745674249023710831669796376898493464440775582437495529935512377808846155845363525363322324349806620219538699036912705163158570613069009861628647947004254703048527980949439344989442343660613223992999728756941103492383516841936032887109909491235970737028019162060827407662628082925405501558465989756598585803299707075285598747694387320560230964797002287544099593470081072067880562339350431745873445808685173485646715952153461132559836455411860129394258183106794237178918601865666523148643461605292049
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 2,131-digit prime (159 intermediate primes).

Certified number2,131-digit prime
Certificatedownload
Certificate chainshow step 20 of 159

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075739986 --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":1100000009075739986},"decimal":true,"detail":2}}'