is 2 1235093 - 1
has 371801 decimal digits
takes 0.038 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2A8465E1252BDEF3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26724.058068.6567%300000100000000.03684.1767%24.094969.9658%1.3091%
PrimeNet2560.007862.5000%5500900000.00042.4305%0.008263.4114%0.9114%
GPU722600.124465.0000%5000300000.00030.8313%0.124665.2910%0.2910%
Difference+7+23.9337+3.6567%+295000+9970000+0.0366+3.3454%+23.9702+4.6749%+4.6749%

Known prime factors (2 factors, 135.9 bits, 0.01100432% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12350933162898074260619771858.134128042911516
22 × 132 × 189412591
2007-11-061691894125910.05950.45890.8571
12350932594043326900610484453912477.780105014089096959115
5 × 19 × 1105411464178517
2017-10-1319110541146417851727,6522,678,0445,001,839

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
12350938204694643202552265930350798087306599800741135.914
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-10-07T00:00:00Jocelyn Larouchev4_computers10001000---4.44667e-5--0.006%
2002-12-25T00:00:00ANONYMOUSv4_computers20000395000---0.002--1.041%
2016-03-17T19:02:38alpertronManual testing3000001000000012---0.037--4.177%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-14T00:00:00ANONYMOUSv4_computers21257--0.016--
2003-05-26T00:00:00ANONYMOUSv4_computers21258--0.031--
2022-04-13T05:54:05LordJuliusManual testing2126158.134180.0590.0770.121
2022-04-13T05:54:05LordJuliusManual testing261262--0.249--
2022-04-13T05:54:05LordJuliusManual testing262263--0.795--
2022-04-13T05:54:05LordJuliusManual testing263264--1.590--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.554 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:18.554 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002699.96
500005000000120.444
25000025000000448.148


Lucas-Lehmer results:
No L-L results for M1235093


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T16:55:59Oliver KruseGTX-3
316289807426061977
67A75DD3A3771E__no
2017-10-13T21:21:16Oliver KruseGTX-199D4966EDD5F9D__no
2017-10-14T21:59:36YarBerManual testing
316289807426061977
259404332690061048445391
6B94C7AC868720__no
2017-10-20T01:46:49kkmrkkblmbrbkc4.xlarge
316289807426061977
259404332690061048445391
99D4966EDD5F9D__no
2017-11-04T14:28:47kkmrkkblmbrbkc4.xlarge
316289807426061977
259404332690061048445391
6B94C7AC868720__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 20000, B2 = 395000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-13T05:54:05+00:00