is 2 2701903 - 1
has 813354 decimal digits
takes 0.209 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP4F8297256EDAA669verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26944.186268.1159%1565197547819040.50006.2645%44.686270.1133%1.9974%
PrimeNet2590.028462.7119%120002200000.00262.8434%0.031063.7721%1.0602%
GPU722630.590765.0794%140002200000.00281.6615%0.593565.6596%0.5802%
Difference+6+43.5955+3.0366%+1551197+54561904+0.4972+4.6030%+44.0927+4.4537%+4.4537%

Known prime factors (1 factor, 73.3 bits, 0.00271155% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2701903113373835185739531509532373.2642098036739026892
22 × 53 × 97 × 102024739303
2021-08-01971020247393031,328.9622.521,162.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.194%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.672%
2010-12-16T22:40:00Jocelyn LaroucheManual testing2000020000---0.002--0.225%
2010-12-26T14:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.314%
2011-01-16T01:59:00Jocelyn LaroucheManual testing5000050000---0.006--0.460%
2011-03-16T14:26:00James HeinrichWHS3000008000000---0.081--3.597%
2018-07-21T14:07:34Jocelyn Larouchelow 4M60000060000006---0.100--3.692%
2021-01-13T13:24:45GdSManual testing15651975478190412---0.500--6.264%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-30T22:07:00Sturle Sundeghini.ifi260261--0.057--
2012-05-03T10:04:00Grant McCrackenthumper261262--0.114--
2013-01-23T08:17:00dbaughManual testing262263--0.363--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.727--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.383--
2016-01-28T10:33:36ramgeisManual testing265266--2.766--
2017-09-29T00:40:42Gordon SpenceManual testing266267--5.531--
2019-02-11T01:15:26chuenkitManual testing267268--11.06--
2021-06-21T08:53:36TJAOIManual testing268269--22.13--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.312 GHz-days
Estimated T-Level:21.929
DigitsB1CurvesCompleteFacMiss
2011000108 / 1001.08033.775%
2550000108 / 2800.38667.950%

New Calculation Method

Total ECM effort:11.312 GHz-days
Estimated T-Level:21.929
DigitsB1CompleteFacMiss
20110003.5023.015%
25500000.31772.848%
302500000.02098.067%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010010.36
50000674283770.834
50000675000010.119


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00LEE Sau Danv4_computersE963ADD697387E__0.209


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-01T18:18:59SRJ2877LTOS
11337383518573953150953
4F8297256EDAA669no


P-1 factor-bounds graph:
B1 = 1565197, B2 = 54781904 (P-1 stage 2)
B1 = 1565197 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
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: 2021-08-01T18:18:59+00:00