is 2 571157 - 1
has 171936 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26752.024170.1493%1500000500000000.08766.1883%52.111771.9965%1.8472%
PrimeNet2400.000050.0000%55002000000.000320.0046%0.000360.0023%10.0023%
GPU722440.000054.5455%100003400000.000615.2002%0.000661.4546%6.9092%
Difference+23+52.0241+15.6038%+1490000+49660000+0.0870-9.0119%+52.1111+10.5419%+10.5419%

Known prime factors (1 factor, 71.3 bits, 0.01249041% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
57115729884235290739614764232271.3402616113896068823
2069 × 1264433975867
2008-01-26206912644339758671,268.91,456.72,720.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.184%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.399%
2002-03-03T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.727%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.191%
2002-05-11T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.545%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.800%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.548%
2003-05-19T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.424%
unknown150000050000000---0.088--6.188%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-05T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:38LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.017--
2002-01-15T00:00:00ANONYMOUSv4_computers21257--0.034--
2003-11-28T00:00:00ANONYMOUSv4_computers21258--0.067--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.291 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000422 / 1004.2201.439%
2550000422 / 2801.50722.095%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:17.291 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100024.6920.000%
25500003.1244.397%
302500000.30074.100%
3510000000.02397.714%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002784.504
25000025000000443.564
250000350000001009.223


Lucas-Lehmer results:
No L-L results for M571157


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T11:21:56Oliver KruseGTX-0
2988423529073961476423
DB4921E4AC58B0__no
2017-10-13T11:33:38Oliver KruseThreadripperDB4921E4AC58B0__no
2017-12-15T21:07:54ATHec2-1xf
2988423529073961476423
DB4921E4AC58B0__no
2020-04-19T08:39:21Oliver KruseAddPrpType5
2988423529073961476423
C5F1B5F2813D8E__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
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107
102
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109
1010
1011
1012
1013
TF factor-bounds graph:
267
258
257
256
255
254
250
260
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2100
Last modified: 2022-03-07T08:27:38+00:00