is 2 2797939 - 1
has 842264 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L59649B7745F95556double-checked
PRPF9302A19353A56F1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.303167.6471%2700000840000000.79847.6900%22.101670.1350%2.4879%
PrimeNet2590.027462.7119%120002400000.00272.9267%0.030263.8032%1.0913%
GPU722630.570465.0794%150002600000.00321.7895%0.573665.7043%0.6249%
Difference+5+20.7327+2.5677%+2685000+83740000+0.7953+5.9005%+21.5280+4.4307%+4.4307%

Known prime factors (1 factor, 76.5 bits, 0.00273394% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27979391064032386992530752149832476.49419014574424112369
35 × 151 × 1439 × 360116147
2020-10-11143936011614710,2402.19754.1040

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2010-11-12T11:43:00Jocelyn LaroucheManual testing1500015000---0.002--0.211%
2010-12-21T22:27:00Jocelyn LaroucheManual testing2000020000---0.002--0.271%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.374%
2011-01-24T01:10:00Jocelyn LaroucheManual testing5000050000---0.006--0.541%
2011-02-18T01:27:00markrManual testing1100002310000---0.026--2.596%
2016-07-24T21:21:51Jocelyn LaroucheManual testing18187546200006---0.047--3.314%
2016-12-29T21:56:32Jocelyn Larouchelow 4M218250218250---0.024--1.285%
2017-04-21T13:07:05mikrMSI27000008400000012---0.798--7.690%
2017-05-13T16:00:12Jocelyn Larouchelow 4M36375036375006---0.061--3.460%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-13T00:40:00Sturle Sundekraus.ifi260261--0.055--
2012-02-27T21:40:00markroldgamer261262--0.110--
2013-01-14T12:31:00dbaughManual testing262263--0.351--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.702--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.335--
2016-02-10T11:15:45ramgeisManual testing265266--2.671--
2017-10-20T11:26:18Gordon SpenceManual testing266267--5.342--
2019-02-27T02:18:52chuenkitManual testing267268--10.68--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.479 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:4.479 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.38724.980%
25500000.12588.218%
302500000.00899.231%


ECM Summary

B1B2factorcurvesGHz-days
500005000000404.167
50000500000030.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers59649B7745F955560.216
2018-08-31T13:53:07kkmrkkblmbrbkold59649B7745F955560.216


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-12T15:38:31mrh.orgw
106403238699253075214983
F9302A19353A56F1no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 363750, B2 = 3637500 (P-1 stage 2)
B1 = 181875, B2 = 4620000 (P-1 stage 2)
B1 = 363750 (P-1 stage 1)
B1 = 110000, B2 = 2310000 (P-1 stage 2)
B1 = 218250 (P-1 stage 1)
B1 = 181875 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-10-12T15:38:31+00:00