is 2 253769 - 1
has 76393 decimal digits
takes 0.001 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
Actualunknown30000000101202470268904,486.311473.0227%4,486.311473.0227%
Target2440.000059.0909%45001100000.000110.1837%0.000163.2570%
Difference-440.0000-59.0909%+29995500+10120246916890+4,486.3113+62.8390%+4,486.3113+9.7658%

Known prime factors (2 factors, 177.6 bits, 0.06998199% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2537697705960112298011549.4531518302100
22 × 3 × 52 × 7 × 47 × 15383
-47153830.00057.181e-61.273e-5
25376937486457120069453417596676594623625013739128.140738594097783209403386478974867372
22 × 3 × 223 × 919 × 3607 × 21739 × 19258439 × 198882891379
2022-04-23192584391988828913797.102e+1188.309164.66

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-28Oliver KruseOllaptop30000000300000000024-
skipped known factor: 770596011229801
--1.561--44.049%
2022-04-23Oliver KruseThreadripper-PC300000001012024702689039128.1404,4860.0038,97363.165%


Trial Factoring results:
No TF results for M253769


ECM factoring results:
Total ECM effort:12.628 GHz-days
Estimated T-Level:27.798
DigitsB1CompleteFacMiss
201100039.7010.000%
25500005.4840.415%
302500000.56057.139%
3510000000.04595.593%
4030000000.00399.703%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.681
250000250000002627.836
2500003300000070.232
2500003475000070.236
25000036250000210.722
2500003850000070.247
25000055133578571.675


Lucas-Lehmer results:
No L-L results for M253769


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptop
770596011229801
8F3C4C787DBD04__no
2017-09-22Oliver KruseManual testing
770596011229801
8F3C4C787DBD04__no
2017-10-12kkmrkkblmbrbkc4.xlarge8F3C4C787DBD04__no
2020-04-17Oliver KruseAddPrpType5
770596011229801
DA1694FA7A0085__no
2022-04-23aperson12012_VP113
770596011229801
374864571200694534175966765946236250137
DA1694FA7A0085F7no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2023-01-16T03:37:13+00:00