is 2 2835779 - 1
has 853655 decimal digits
takes 0.219 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L36A76D5FB48E6798double-checked
PRPC910DA789103600Dverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26942.100268.1159%50000002000000001.74988.4911%43.850070.8232%2.7073%
PrimeNet2590.027162.7119%120002400000.00272.9338%0.029863.8058%1.0940%
GPU722630.562865.0794%160002600000.00331.8272%0.566165.7174%0.6381%
Difference+6+41.5374+3.0366%+4984000+199740000+1.7465+6.6638%+43.2839+5.1058%+5.1058%

Known prime factors (1 factor, 88.7 bits, 0.00312863% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28357795101690749628709445773296312788.72189952192142418528485
5 × 17990438428483705697
2021-05-0951799043842848370569741,746,5741.098e+112.050e+11

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.196%
2016-09-21T12:09:28Jocelyn Larouchelow 4M12000033000006---0.033--2.554%
2016-10-07T05:48:06Jocelyn Larouchelow 4M1200003960000---0.037--2.659%
2017-03-03T01:10:47Jocelyn Larouchelow 4M30612430612406---0.051--2.928%
2018-02-20T11:48:58Jocelyn Larouchelow 4M403348403348---0.045--1.528%
2018-03-10T21:16:43Jocelyn Larouchelow 4M28357793061240---0.319--3.354%
2018-03-14T01:18:14Jocelyn Larouchelow 4M283577961224806---0.338--4.129%
2019-11-06T03:53:37masserManual testing28400002840000012---0.474--5.867%
2020-02-02T18:05:42masserManual testing500000020000000012---1.750--8.491%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.054--
2009-02-13T06:57:00Sturle Sundegibsy.ifi260261--0.054--
2012-02-11T01:39:00markroldgamer261262--0.108--
2013-01-07T13:46:00dbaughManual testing262263--0.346--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.692--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.318--
2015-12-02T15:15:14omylistManual testing265266--2.635--
2017-10-28T16:39:42Gordon SpenceManual testing266267--5.270--
2019-01-04T01:17:01chuenkitManual testing267268--10.54--
2021-04-22T08:19:55TJAOIManual testing268269--21.08--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.953 GHz-days
Estimated T-Level:2.950
DigitsB1CurvesCompleteFacMiss
201100059 / 1000.59055.268%
255000059 / 2800.21180.970%

New Calculation Method

Total ECM effort:6.953 GHz-days
Estimated T-Level:2.950
DigitsB1CompleteFacMiss
20110001.86515.489%
25500000.16584.751%
302500000.01098.997%


ECM Summary

B1B2factorcurvesGHz-days
5000050000140.834
50000435000070.690
500005000000515.324
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computers36A76D5FB48E67980.219
2018-09-12T09:27:06kkmrkkblmbrbkold36A76D5FB48E67980.219


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-09T13:20:23GURA LOVE
510169074962870944577329631
C910DA789103600Dno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2840000, B2 = 28400000 (P-1 stage 2)
B1 = 2835779, B2 = 6122480 (P-1 stage 2)
B1 = 2835779, B2 = 3061240 (P-1 stage 2)
B1 = 2840000 (P-1 stage 1)
B1 = 2835779 (P-1 stage 1)
B1 = 306124, B2 = 3061240 (P-1 stage 2)
B1 = 403348 (P-1 stage 1)
B1 = 120000, B2 = 3960000 (P-1 stage 2)
B1 = 306124 (P-1 stage 1)
B1 = 120000, B2 = 3300000 (P-1 stage 2)
B1 = 120000 (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: 2021-05-09T14:44:25+00:00