"57671892869766803925...(712708 other digits)...06520121133805600769"
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help)value
Description:"57671892869766803925...(712708 other digits)...06520121133805600769"
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):p360 : Kinne, Exoo, OpenPFGW
Decimal Digits:712748   (log10 is 712747.76096421)
Rank (*):729 (digit rank is 1)
Entrance Rank (*):186
Currently on list? (*):short
Submitted:10/14/2013 21:51:10 CDT
Last modified:10/23/2013 15:37:54 CDT
Database id:115955
Blob database id:302
Status Flags:Verify, TrialDiv
Score (*):45.5937 (normalized score 6.2625)

Description: (from blob table id=302)

2^1125 * 717470361523^1225 * 170032374383^1454 * 327588278887^1498 * 221122102991^1352 * 192499586641^1323 * 684269652551^1182 * 354176879083^1210 * 842340781781^1330 * 137407263089^1085 * 16620270593^1328 * 188679136603^1234 * 356337225943^1118 * 234530008957^1559 * 183935084521^1409 * 325079508179^1281 * 906534965867^1088 * 755691875909^1467 * 439486419419^1041 * 14122385869^1163 * 492486900023^1331 * 655717891139^1202 * 806948992567^1172 * 201920825159^1259 * 183572569811^1353 * 223007788897^1577 * 217714605527^1006 * 653740027841^1172 * 793519499317^1061 * 182586829729^1266 * 468021663301^1465 * 115310583977^1189 * 11350403347^1339 * 553619128351^1490 * 281332826443^1070 * 845147656597^1084 * 697986962627^1289 * 105730433447^1093 * 519746194481^1298 * 443641926641^1414 * 631366728667^1428 * 546134603699^1061 * 179973597017^1304 * 105701101657^1426 * 37525701299^1487 * 478551817349^1184 * 554150004211^1194 * 959829077113^1230 * 458373660683^1081 * 68039447543^1458 + 1

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
fieldvalue
prime_id115955
person_id9
machineRedHat P4 P4
whatprime
notesPFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 34.30%
2^1125*717470361523^1225*170032374383^1454*327588278887^1498*221122102991^1352 * 192499586641^1323*684269652551^1182*354176879083^1210*842340781781^1330*137407263089^1085 * 16620270593^1328*188679136603^1234*356337225943^1118*234530008957^1559*183935084521^1409 * 325079508179^1281*906534965867^1088*755691875909^1467*439486419419^1041*14122385869^1163 * 492486900023^1331*655717891139^1202*806948992567^1172*201920825159^1259*183572569811^1353 * 223007788897^1577*217714605527^1006*653740027841^1172*793519499317^1061*182586829729^1266 * 468021663301^1465*115310583977^1189*11350403347^1339*553619128351^1490*281332826443^1070 * 845147656597^1084*697986962627^1289*105730433447^1093*519746194481^1298*443641926641^1414 * 631366728667^1428*546134603699^1061*179973597017^1304*105701101657^1426*37525701299^1487 * 478551817349^1184*554150004211^1194*959829077113^1230*458373660683^1081*68039447543^1458 + 1 is prime! (37728.3245s+1.1019s)
helper
2
717470361523
170032374383
327588278887
221122102991
192499586641
684269652551
354176879083
842340781781
137407263089
16620270593
188679136603
356337225943
234530008957
183935084521
325079508179
906534965867
755691875909
439486419419
14122385869
492486900023
655717891139
806948992567
201920825159
183572569811
223007788897
217714605527
653740027841
793519499317
182586829729
468021663301
115310583977
11350403347
553619128351
281332826443
845147656597
697986962627
105730433447
519746194481
modified2014-04-01 17:37:40
created2013-10-14 23:50:12
id161454

Query times: 0.0006 seconds to select prime, 0.0006 seconds to seek comments.