is 2 301577 - 1
has 90784 decimal digits
takes 0.002 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26798.528571.6418 %10000000206662045590116.195617.3402 %214.724176.5592 %
Target2440.000056.8182 %55007000000.000411.2520 %0.000561.6770 %
Difference+23+98.5285+14.8236 %+9994500+206661345590+116.1952+6.0883%+214.7236+14.8822 %

Known prime factors (2 factors, 128.1 bits, 0.04247591% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
301577478398012658571445.44379316064
25 × 33 × 91801
-32918011.554e-55.188e-59.632e-5
30157776106487939846283372315432582.65412618085586740083523
17 × 59 × 60777169 × 206991289
2017-09-30607771692069912893,247,8170.70881.2754

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-02-06Lisander ViaeneManual testing5000050000--0.0019.764%
2023-03-15Denial140i5-8400100000065871826020
skipped known factor: 47839801265857
--43.7448.855%
2024-02-22Denial140i5-84001000000010000000
skipped known factor: 47839801265857
--0.10125.590%
2024-02-23Denial140i5-840010000000206662045590
skipped known factor: 47839801265857
--113.954.406%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23nordisweet1610000000101000000027--0.693
2021-04-30nordisweet1610000000101000000065--0.693


Trial Factoring results:
5758596061626364656667
No TF results for M301577


ECM factoring results:
Total ECM effort:14.087 GHz-days
Estimated T-Level:27.713
DigitsB1CompleteFacMiss
201100039.1010.000%
25500005.3430.478%
302500000.54358.125%
3510000000.04495.732%
4030000000.00399.712%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002912.220
25000025000000883.356
25000025000000542.019
250000367500001506.491


Lucas-Lehmer results:
No L-L results for M301577


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
47839801265857
B65EEE5542B40948
2017-09-22Oliver KruseManual testing
47839801265857
B65EEE5542B40948
2017-10-01Oliver KruseGTX-1
47839801265857
7610648793984628337231543
5AF5A460243D2725
2017-10-05Oliver KruseManual testing
47839801265857
7610648793984628337231543
5AF5A460243D2725
2017-10-12Oliver KruseGTX-1
47839801265857
7610648793984628337231543
5AF5A460243D2725
2017-12-11ATHxps
47839801265857
7610648793984628337231543
5AF5A460243D2725
2020-04-17Oliver KruseAddPrpType5
47839801265857
7610648793984628337231543
BE131C350FA3E154


CERT results:
No CERT results for M301577


P-1 factor-bounds graph:
B1 = 10000000, B2 = 206662045590 (P-1 stage 2)
B1 = 1000000, B2 = 65871826020 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.71 ~= 75-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00