is 2 502553 - 1
has 151284 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-L679F779C0E2CD09Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26759.125971.6418 %200000068964588006.449111.8116 %65.575074.9914 %
Target2440.000056.8182 %900014000000.001414.3657 %0.001563.0215 %
Difference+23+59.1259+14.8236 %+1991000+6895058800+6.4476-2.5540 %+65.5736+11.9698 %

Known prime factors (1 factor, 82.0 bits, 0.01632369% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
50255349551564872429279077510872582.0354929983988995118831
3 × 47 × 18797 × 294703 × 6311801
2009-09-1829470363118011,948,9820.01060.0110

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers500001000000--0.00219.463%
2001-12-22ANONYMOUSv4_computers2000200000--0.00011.084%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.130%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.775%
2016-03-16alpertronManual testing15000005000000012
skipped known factor: 4955156487242927907751087
---32.766%
2022-12-13USAFSSUSAFSACS20000006896458800
skipped known factor: 4955156487242927907751087
--7.98546.131%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-01ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-01ANONYMOUSv4_computers212560.019
2001-12-22ANONYMOUSv4_computers212570.038
2003-12-13ANONYMOUSv4_computers212580.076


ECM factoring results:
Total ECM effort:12.922 GHz-days
Estimated T-Level:26.434
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.011
5000050000002803.574
250000250000001449.337


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-07ANONYMOUSv4_computers679F779C0E2CD09A0.006


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-1
4955156487242927907751087
EE7CC79602009836
2017-09-28Oliver KruseManual testing
4955156487242927907751087
EE7CC79602009836
2017-11-09kkmrkkblmbrbkc4.large
4955156487242927907751087
EE7CC79602009836
2020-04-18Oliver KruseAddPrpType5
4955156487242927907751087
EC7454033EBF6E5D


CERT results:
No CERT results for M502553


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6896458800 (P-1 stage 2)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000 (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
1010
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
250
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Last modified: 2024-02-29T14:28:04+00:00