is 2 503743 - 1
has 151642 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7A0F6DD8753A9EFCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26758.986371.6418 %100000008200000000.924410.7094 %59.910774.6788 %
Target2440.000056.8182 %900014000000.001414.3699 %0.001563.0234 %
Difference+23+58.9863+14.8236 %+9991000+818600000+0.9230-3.6605 %+59.9092+11.6554 %

Known prime factors (1 factor, 99.1 bits, 0.01967825% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5037436925401789231965660980875364073099.128687394344857592627687221
29 × 137 × 297503 × 6533239 × 89015881
2013-01-146533239890158813.255e+110.18830.2271

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00011.089%
2002-01-02ANONYMOUSv4_computers500001000000--0.00219.467%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.134%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.780%
2010-12-30Rob_Deetwopc5000001000000--0.00919.952%
2010-12-31Rob_Deetwopc100000020000006--0.01822.133%
2012-06-19JossManual testing24247502424750--0.04122.256%
2013-01-14markrtiny3099.1281.3340.000%
2016-03-16alpertronManual testing15000005000000012---32.771%
2021-05-13gLaussManual testing10000000820000000
skipped known factor: 692540178923196566098087536407
--0.92441.552%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-13gLaussManual testing500000036500000027--0.458


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-01ANONYMOUSv4_computers2532540.002
2001-04-01ANONYMOUSv4_computers212560.019
2001-12-22ANONYMOUSv4_computers212570.038
2003-12-13ANONYMOUSv4_computers212580.076
2011-02-05GrunwalderGIMPv4_computers212600.305
2010-10-06GrunwalderGIMPGWPrime022602632.863
2012-05-07LaurVManual testing2632643.897


ECM factoring results:
Total ECM effort:12.787 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002813.449
250000250000001449.338


Lucas-Lehmer results:
No L-L results for M503743


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-1
692540178923196566098087536407
643A32F46EEA45AF
2017-09-28Oliver KruseManual testing
692540178923196566098087536407
643A32F46EEA45AF
2017-11-09kkmrkkblmbrbkc4.large
692540178923196566098087536407
643A32F46EEA45AF
2020-04-19Oliver KruseAddPrpType5
692540178923196566098087536407
99A7B70B33996A1D


CERT results:
No CERT results for M503743


P-1 factor-bounds graph:
B1 = 10000000, B2 = 820000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 2424750 (P-1 stage 1)
B1 = 1500000 (P-1 stage 1)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
264
263
260
258
257
256
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00