is 2 302429 - 1
has 91041 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
Actual26798.250971.6418 %10000000206662045590116.195617.3435 %214.446576.5601 %
Target2440.000056.8182 %55007500000.000511.4054 %0.000561.7432 %
Difference+23+98.2509+14.8236 %+9994500+206661295590+116.1952+5.9381%+214.4460+14.8169 %

Known prime factors (2 factors, 135.2 bits, 0.04471685% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30242967744097826.014112
24 × 7
-16162.956e-111.650e-73.358e-7
30242975759803994253170371901499157544133109.2231252522145598688789300984680
23 × 32 × 5 × 97 × 42017 × 853662369408793537
2017-10-27420178536623694087935374.245e+11479,568,549895,700,499

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-02-06Lisander ViaeneManual testing5000050000
skipped known factor: 67744097
--0.0019.768%
2023-03-15Denial140i5-8400100000065871826020
skipped known factor: 67744097
--43.7448.861%
2024-02-21Denial140i5-84001000000010000000
skipped known factor: 67744097
--0.10125.594%
2024-02-23Denial140i5-840010000000206662045590
skipped known factor: 67744097
--113.954.412%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-25nordisweet1610000000101000000027--0.693
2021-04-30nordisweet1610000000101000000065--0.693


Trial Factoring results:
5758596061626364656667
No TF results for M302429


ECM factoring results:
Total ECM effort:14.110 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
250000250000001174.463
25000025000000250.935
250000367500001506.492


Lucas-Lehmer results:
No L-L results for M302429


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
67744097
F0263F38149A8D36
2017-09-22Oliver KruseManual testing
67744097
F0263F38149A8D36
2017-10-12Oliver KruseGTX-2
67744097
F0263F38149A8D36
2017-10-28Oliver KruseGTX-2
67744097
757598039942531703719014991575441
CC195C4902518C64
2017-10-28kkmrkkblmbrbkc4.xlarge
67744097
757598039942531703719014991575441
CC195C4902518C64
2017-10-29Yaroslav BerezhkoManual testing
67744097
757598039942531703719014991575441
CC195C4902518C64


CERT results:
No CERT results for M302429


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)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.71 ~= 75-bit
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Last modified: 2024-03-03T02:29:32+00:00