is 2 3435011 - 1
has 1034042 decimal digits
takes 0.361 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-
PRPD114B3770E5071F6verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.755968.1159%140000007000000007.823910.9082%42.579871.5939%3.4780%
PrimeNet2600.044763.3333%150002800000.00452.8992%0.049264.3964%1.0630%
GPU722641.036265.6250%190003400000.00561.8533%1.041766.2621%0.6371%
Difference+5+33.7197+2.4909%+13981000+699660000+7.8184+9.0549%+41.5381+5.3319%+5.3319%

Known prime factors (1 factor, 84.3 bits, 0.00245536% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3435011245137445037982391398116792684.3423568219214406917349
3 × 47 × 1367 × 18512450073967
2021-10-121367185124500739671,779,732153,601286,885

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:56:00Carsten Kossendeyleela15000210000---0.004--0.699%
2011-11-02T01:12:00harleeP4_260060000945000---0.016--1.664%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7868578685---0.012--0.653%
2014-09-16T08:02:00HBendtzHAL900750000010000000---0.155--4.160%
2021-05-06T03:09:20axnManual testing14000000700000000---7.824--10.908%
2022-04-10T15:21:32Jocelyn LaroucheManual testing1000000126668850---1.195--6.991%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:29Mark RoseManual testing21260--0.045--
2009-03-22T15:34:00S485122USB-A260261--0.045--
2011-08-06T04:15:00markroldgamer261262--0.089--
2012-08-18T15:33:00GrunwalderGIMPManual testing21263--0.465--
2016-02-23T16:29:29Mark RoseManual testing262263--0.286--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.572--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.088--
2015-04-13T14:45:00Gordon SpenceManual testing265266--2.175--
2017-02-05T22:59:57Gordon SpenceManual testing266267--4.351--
2018-09-17T14:42:50TJAOIManual testing267268--8.702--
2021-01-01T15:52:13axnManual testing268269--17.40--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.507 GHz-days
Estimated T-Level:2.500
DigitsB1CurvesCompleteFacMiss
201100050 / 1000.50060.501%
255000050 / 2800.17983.620%

New Calculation Method

Total ECM effort:7.507 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110001.62819.623%
25500000.14886.285%
302500000.00999.095%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.288
50000500000071.028
50000675000071.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00ANONYMOUSv4_computersA013B6862F4D86__0.361


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-18T07:31:50kutensterra
24513744503798239139811679
D114B3770E5071F6no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 78685 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T15:21:32+00:00