is 2 572791 - 1
has 172428 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
Actual26751.875770.1493%1500000500000000.08766.1902%51.963371.9971%1.8478%
PrimeNet2400.000050.0000%55002000000.000320.0111%0.000360.0055%10.0055%
GPU722440.000054.5455%100003400000.000615.2054%0.000661.4570%6.9115%
Difference+23+51.8757+15.6038%+1490000+49660000+0.0870-9.0152%+51.9627+10.5401%+10.5401%

Known prime factors (2 factors, 143.1 bits, 0.02497594% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5727918624429047562418942012169.547752842576748100
22 × 3 × 52 × 353 × 7108995059
2008-01-153537108995059221.988.190215.297
572791134770732922289818041372373.51311764389884119148
22 × 111863 × 26291959549
2015-09-11111863262919595494,429.730.29356.574

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
5727911162320623776273113492402590683812725810953744143.060
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--0.728%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.192%
2002-05-11T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.545%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.801%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.549%
2003-05-19T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.426%
unknown150000050000000---0.088--6.190%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-05T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:41LordJuliusManual 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:17.327 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:17.327 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100024.7690.000%
25500003.1314.366%
302500000.30074.067%
3510000000.02397.712%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002233.613
500005000000570.924
25000025000000443.565
250000350000001009.225


Lucas-Lehmer results:
No L-L results for M572791


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T11:24:37Oliver KruseGTX-3
862442904756241894201
13477073292228981804137
B5BD090365EAA37Dno
2017-09-28T09:43:30Oliver KruseManual testing
862442904756241894201
13477073292228981804137
B5BD090365EAA3__no
2017-09-30T15:28:21alpertronManual testing
862442904756241894201
13477073292228981804137
B5BD090365EAA3__no
2017-12-07T14:49:30ATHxps
862442904756241894201
13477073292228981804137
B5BD090365EAA3__no
2020-04-19T08:52:27Oliver KruseAddPrpType5
862442904756241894201
13477073292228981804137
7E8D323A728853__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)
101
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104
105
106
107
101
102
103
104
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1010
1011
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T08:27:41+00:00