is 2 2051191 - 1
has 617471 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6CE13BFF6D8FAEEFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.486268.6567%500000150000000.12305.1386%14.609270.2673%1.6106%
PrimeNet2580.018763.7931%90001600000.00162.6659%0.020464.7584%0.9652%
GPU722620.299566.1290%90001200000.00141.3305%0.300966.5797%0.4506%
Difference+5+14.1867+2.5277%+491000+14880000+0.1216+3.8082%+14.3082+3.6877%+3.6877%

Known prime factors (2 factors, 139.1 bits, 0.00678302% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2051191405402115651940667112065.1369882115211405
5 × 389 × 5080779029
2015-07-2738950807790295.358726.39149.291
2051191188461650320203292413192373.9974593956640805349
227 × 2663 × 7599584849
2022-05-10266375995848491,144.339.47473.727

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
205119176402751759066656008675559463523490363180942139.133
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.275%
2006-01-15T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.058%
2009-05-14T19:11:00Rob_Deetwopc20000280000---0.003--1.039%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.413%
2011-01-04T22:09:00Jocelyn LaroucheManual testing5000050000---0.005--0.593%
2011-01-26T20:20:00James Heinrichi7-9201350002868750---0.027--3.036%
2014-10-22T23:53:00Jocelyn LaroucheManual testing166291166291---0.016--1.209%
2016-03-17T19:20:08alpertronManual testing5000001500000012---0.123--5.139%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00Ethan O'Connorv4_computers21258--0.019--
2022-03-09T08:13:22LordJuliusManual testing21260--0.075--
2009-01-02T21:23:00Sturle Sundegopher.ifi260261--0.075--
2012-03-09T08:47:00Sebastian HornbostelManual testing261262--0.150--
2013-09-01T20:20:00ramgeisManual testing262263--0.479--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.957--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.822--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.533 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:2.533 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110000.90640.429%
25500000.08192.180%
302500000.00599.501%


ECM Summary

B1B2factorcurvesGHz-days
500005000030.152
500005000000151.273
50000500000010.085
50000520000040.345
50000675000070.678


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00Ethan O'Connorv4_computers6CE13BFF6D8FAEEF0.135


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T09:03:54Oliver KruseGTX-3
40540211565194066711
E8458AF1B2728F__no
2017-11-15T08:33:19kkmrkkblmbrbkc4.xlarge
40540211565194066711
E8458AF1B2728F__no
2022-05-10T20:05:45aperson12012_VP113
40540211565194066711
18846165032020329241319
D5DFBB96F8406F14no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2868750 (P-1 stage 2)
B1 = 166291 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 280000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-05-10T20:05:45+00:00