is 2 2155103 - 1
has 648751 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L36FFA09B5EAF3EA9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.657667.6471%25000001250000000.87467.9188%28.532270.2090%2.5620%
PrimeNet2580.017862.0690%100001700000.00182.8091%0.019663.1345%1.0655%
GPU722620.285164.5161%100001600000.00171.5185%0.286865.0550%0.5388%
Difference+6+27.3725+3.1309%+2490000+124840000+0.8729+6.4002%+28.2454+5.1541%+5.1541%

Known prime factors (1 factor, 81.8 bits, 0.00379367% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
215510340876366668469753226422972581.758948362251559896516
22 × 72 × 192 × 40237 × 333108253		2020-04-2240237333108253278,2011.73393.2316

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-03T01:56:00Jocelyn LaroucheManual testing2000020000---0.002--0.255%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.353%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.513%
2011-01-24T11:44:00markrtiny1200002340000---0.023--2.545%
2014-10-01T22:53:00Jocelyn LaroucheManual testing149782149782---0.014--1.008%
2016-03-22T02:16:49Jocelyn LaroucheManual testing269606269606---0.026--1.367%
2016-04-09T11:54:06Jocelyn LaroucheManual testing360000648000012---0.066--3.802%
2017-12-28T14:57:37mikrMSI250000012500000012---0.875--7.919%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T19:13:00Sturle Sundegigi.ifi260261--0.071--
2009-01-07T10:17:00Sturle Sunderodolfo.ifi261262--0.143--
2013-09-08T17:50:00ramgeisManual testing262263--0.456--
2015-03-22T08:28:00VictordeHollanderManual testing263264--0.911--
2015-03-22T08:28:00VictordeHollanderManual testing264265--1.734--
2015-12-30T18:01:34ramgeisManual testing265266--3.467--
2016-11-04T03:09:03Gordon SpenceManual testing266267--6.935--
2019-05-20T13:24:29TJAOIManual testing267268--13.87--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.318 GHz-days
Estimated T-Level:3.700
DigitsB1CurvesCompleteFacMiss
201100074 / 1000.74047.534%
255000074 / 2800.26476.739%

New Calculation Method

Total ECM effort:6.318 GHz-days
Estimated T-Level:3.700
DigitsB1CompleteFacMiss
20110002.3879.190%
25500000.21680.594%
302500000.01398.680%


ECM Summary

B1B2factorcurvesGHz-days
500005000000726.147
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers36FFA09B5EAF3EA90.142
2018-04-09T20:29:44kkmrkkblmbrbkold36FFA09B5EAF3EA90.142


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-22T10:39:21CrypticCluecruncher
4087636666846975322642297
6E4DE39133E79FB8no
2020-04-22T10:59:28ATHec2-PRPCFDC
4087636666846975322642297
6E4DE39133E79FB8no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 360000, B2 = 6480000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 269606 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 149782 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2020-04-22T10:59:28+00:00