is 2 2837371 - 1
has 854134 decimal digits
takes 0.219 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L92BB3702DEC8C57Fdouble-checked
PRPF4DC83B5275BC4__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26942.076668.1159%50000002000000001.74988.4915%43.826370.8234%2.7074%
PrimeNet2590.027162.7119%120002400000.00272.9341%0.029863.8059%1.0941%
GPU722630.562565.0794%160002600000.00331.8274%0.565865.7175%0.6381%
Difference+6+41.5141+3.0366%+4984000+199740000+1.7465+6.6641%+43.2606+5.1059%+5.1059%

Known prime factors (1 factor, 74.4 bits, 0.00262369% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2837371256924222424300894384232374.4444527504905497041
3 × 13 × 457 × 601 × 422672167
2021-08-056014226721671,687.22.57914.8169

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.196%
2016-10-27T15:25:32Jocelyn Larouchelow 4M174240174240---0.020--1.004%
2016-11-03T20:54:29Jocelyn Larouchelow 4M250905250905---0.028--1.215%
2016-12-14T18:29:41Jocelyn Larouchelow 4M301086301086---0.034--1.330%
2017-03-14T03:27:03Jocelyn Larouchelow 4M36130336130306---0.060--3.113%
2019-11-06T03:53:40masserManual testing28400002840000012---0.474--5.868%
2020-02-02T18:05:45masserManual testing500000020000000012---1.750--8.492%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-12T05:32:00Sturle Sundebakeng.ifi260261--0.054--
2012-02-08T20:44:00markroldgamer261262--0.108--
2013-01-07T13:46:00dbaughManual testing262263--0.346--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.692--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.317--
2015-12-05T00:01:20omylistManual testing265266--2.634--
2017-10-28T16:39:42Gordon SpenceManual testing266267--5.267--
2019-01-05T03:38:51chuenkitManual testing267268--10.53--
2021-04-22T08:19:51TJAOIManual testing268269--21.07--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.941 GHz-days
Estimated T-Level:4.700
DigitsB1CurvesCompleteFacMiss
201100094 / 1000.94038.878%
255000094 / 2800.33671.440%

New Calculation Method

Total ECM effort:9.941 GHz-days
Estimated T-Level:4.700
DigitsB1CompleteFacMiss
20110003.0504.736%
25500000.27675.878%
302500000.01798.314%


ECM Summary

B1B2factorcurvesGHz-days
500005000000868.979
50000675000070.842
50000675000010.120


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers92BB3702DEC8C57F0.219
2018-09-13T00:02:01kkmrkkblmbrbkold92BB3702DEC8C57F0.219


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-05T18:34:40SRJ2877LTOS
25692422242430089438423
F4DC83B5275BC4__no


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 = 2840000 (P-1 stage 1)
B1 = 361303, B2 = 3613030 (P-1 stage 2)
B1 = 361303 (P-1 stage 1)
B1 = 301086 (P-1 stage 1)
B1 = 250905 (P-1 stage 1)
B1 = 174240 (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: 2021-08-05T18:34:40+00:00