is 2 84811 - 1
has 25531 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267350.354574.6269%1000000000705525968647508,362.539228.6606%8,712.893881.8990%7.2721%
PrimeNet2400.000057.5000%900140000.00006.8819%0.000060.4248%2.9248%
GPU722440.000061.3636%500100000.00002.3695%0.000062.2791%0.9155%
Difference+23+350.3545+13.2632%+999999500+70552596854750+8,362.5392+26.2911%+8,712.8937+19.6198%+6.3566%

Known prime factors (3 factors, 323.0 bits, 0.38085683% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
848111794255776394575796412167.2821057796616237620
22 × 5 × 7 × 7555690115983
2014-04-2377555690115983681.44895.351,672.3
84811494664809166658347849376266487516934111.93029162774237225026697561416944
24 × 3 × 7541 × 80567271795365962454033
2014-08-267541805672717953659624540331.921e+129.547e+121.783e+13
848111936633420750518266928846643683285841228495344143.796114173481078546312797210659211852580516
22 × 3 × 7 × 59 × 326219 × 1094089 × 1369019 × 14735681 × 3199575439
2022-05-271473568131995754391.844e+120.40950.7081

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
8481188755519122639724828029543016358488079367877414083
4329
54179.212
8481134748157019404043297774512365406521645173346344222
63145783441873
64211.078
8481195798440150132788145353627981957364024595575154440
882673247738584215802032057
77255.727
8481117188690460896580811385943941888893878892890480556
672768173859566272736147958924535333778712551537
98323.008
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.001--2.298%
2016-11-11T22:53:29kkmrkkblmbrbkManual testing100000000200000000012---0.443--11.582%
2022-05-11T03:09:04George WoltmanSkylakeX10000000001000000000---2.175--10.584%
2022-05-27T18:32:46George WoltmanSkylakeX10000000007055259686475044143.7968,3630.00016,72528.661%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers252253--0.007--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.028--
2000-11-25T00:00:00ANONYMOUSv4_computers21256--0.113--


ECM factoring results:
Total ECM effort:10.278 GHz-days
Estimated T-Level:30.944
DigitsB1CompleteFacMiss
201100090.8740.000%
255000014.7990.000%
302500001.84415.824%
3510000000.18982.802%
4030000000.01698.370%
45110000000.00199.876%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001000.157
5000050000001260.197
250000250000005964.665
10000001000000001685.260


Lucas-Lehmer results:
No L-L results for M84811


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:35:14Oliver KrusePRP
179425577639457579641
4946648091666583478493762664875169
73CD31DD8B82F817no
2017-09-21T21:30:11Oliver KruseManual testing
179425577639457579641
4946648091666583478493762664875169
73CD31DD8B82F817no
2017-10-02T18:05:52kkmrkkblmbrbkManual testing
179425577639457579641
4946648091666583478493762664875169
73CD31DD8B82F8__no
2017-12-07T03:54:48ATHxps
179425577639457579641
4946648091666583478493762664875169
73CD31DD8B82F8__no
2020-04-17T15:18:30Oliver KruseAddPrpType5
179425577639457579641
4946648091666583478493762664875169
B51AF8774774C6__no
2022-05-27T19:46:25George WoltmanManual testing
179425577639457579641
4946648091666583478493762664875169
19366334207505182669288466436832858412284953
B51AF8774774C6EFno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 70552596864750 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-27T19:46:25+00:00