is 2 100517 - 1
has 30259 decimal digits
takes 0.000 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
Actual267295.610974.6269%100000000065513026979401,153.164325.4491%1,448.775181.0841%
Target2440.000061.3636%12001440000.00004.1521%0.000162.9678%
Difference+23+295.6108+13.2632%+999998800+6551302553940+1,153.1642+21.2970%+1,448.7751+18.1163%

Known prime factors (3 factors, 248.0 bits, 0.24668744% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1005179994590331641911549.8284971592035
32 × 5 × 110479823
-91104798230.00090.01940.0362
10051737616964324490359217286600892891.60318711742453759244315532
22 × 3 × 37 × 73 × 211 × 229399 × 11927088049
2017-01-21229399119270880499.926e+92.09463.9108
10051711724563177498332277188389320626333106.531583212947934097330659907743
3 × 17 × 349 × 32766613176813154146857
2017-01-21349327666131768131541468571.377e+125.752e+121.074e+13

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 999459033164191
--0.656--11.728%
2021-12-17Seth_TrManual testing10000000006551302697940-
skipped known factor: 999459033164191
skipped known factor: 3761696432449035921728660089
--1,153--25.449%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-25J.R. AllenManual testing252257--0.185--
2022-04-13LordJuliusManual testing2125749.828150.0010.0000.002
2018-11-01J.R. AllenManual testing257258--0.191--
2022-04-13LordJuliusManual testing257258--0.191--
2018-11-01J.R. AllenManual testing258259--0.382--
2022-04-13LordJuliusManual testing258259--0.382--
2018-11-01J.R. AllenManual testing259260--0.764--
2022-04-13LordJuliusManual testing259260--0.764--
2022-04-13LordJuliusManual testing260261--1.528--
2022-04-13LordJuliusManual testing261262--3.056--
2022-10-22LordJuliusManual testing262263--9.77--
2022-10-22LordJuliusManual testing263264--19.53--
2022-10-22LordJuliusManual testing264265--37.17--
2022-10-22LordJuliusManual testing265266--74.34--
2022-10-22LordJuliusManual testing266267--148.7--


ECM factoring results:
Total ECM effort:12.736 GHz-days
Estimated T-Level:30.766
DigitsB1CompleteFacMiss
201100082.9900.000%
255000013.0390.000%
302500001.56121.003%
3510000000.15385.797%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.652
250000250000003223.738
25000025000000590.685
250000250000002042.368
10000001000000001145.293


Lucas-Lehmer results:
No L-L results for M100517


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
999459033164191
3761696432449035921728660089
117245631774983322771883893206263
31BFF45DAD69AB45no
2017-09-21Oliver KruseManual testing
999459033164191
3761696432449035921728660089
117245631774983322771883893206263
31BFF45DAD69AB45no
2017-10-09Chang Chia-Tchehomura31BFF45DAD69AB__?
2017-10-13kkmrkkblmbrbkManual testing
999459033164191
3761696432449035921728660089
117245631774983322771883893206263
31BFF45DAD69AB__no
2020-04-17Oliver KruseAddPrpType5
999459033164191
3761696432449035921728660089
117245631774983322771883893206263
EA5300A8D05B81__no
2022-04-15LordJuliusWhiteBox
999459033164191
3761696432449035921728660089
117245631774983322771883893206263
EA5300A8D05B8185no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6551302697940 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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264
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262
261
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259
258
257
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.77 ~= 86-bit
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Last modified: 2023-06-05T21:50:05+00:00