is 2 100459 - 1
has 30242 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
Actual267295.781574.6269%1000000000409625368752607,194.247628.1078%7,490.029181.7587%
Target2440.000061.3636%1200170000.00004.0816%0.000062.9406%
Difference+23+295.7815+13.2632%+999998800+40962536858260+7,194.2476+24.0262%+7,490.0291+18.8181%

Known prime factors (2 factors, 90.7 bits, 0.09029652% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1004594018361721.93820
22 × 5
-452.793e-121.306e-82.623e-8
1004595042852586082966670392168.7732509905825303341
41 × 767111 × 79802291
2010-01-2876711179802291930.930.01630.0262

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 4018361
skipped known factor: 504285258608296667039
--0.656--11.727%
2021-12-16Seth_TrManual testing100000000040962536875260-
skipped known factor: 4018361
skipped known factor: 504285258608296667039
--7,194--28.108%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-25J.R. AllenManual testing252257--0.185--
2022-04-13LordJuliusManual testing2125721.93872.79306e-120.0005.96108e-12
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--1.529--
2022-04-13LordJuliusManual testing261262--3.058--
2022-04-13LordJuliusManual testing262263--9.77--
2022-04-13LordJuliusManual testing263264--19.54--
2022-10-13LordJuliusManual testing264265--37.19--
2022-10-13LordJuliusManual testing265266--74.39--
2022-10-13LordJuliusManual testing266267--148.8--


ECM factoring results:
Total ECM effort:12.733 GHz-days
Estimated T-Level:30.766
DigitsB1CompleteFacMiss
201100082.9510.000%
255000013.0360.000%
302500001.56021.008%
3510000000.15385.798%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002800.650
250000250000005856.790
10000001000000001145.293


Lucas-Lehmer results:
No L-L results for M100459


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOllaptop
4018361
504285258608296667039
40099C75589C98__no
2017-09-21Oliver KruseManual testing
4018361
504285258608296667039
40099C75589C98__no
2017-10-13kkmrkkblmbrbkManual testing
4018361
504285258608296667039
40099C75589C98__no
2020-04-17Oliver KruseAddPrpType5
4018361
504285258608296667039
0B5FB45B513459__no
2022-04-15LordJuliusWhiteBox
4018361
504285258608296667039
0B5FB45B513459CEno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 40962536875260 (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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109
100
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109
1010
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1014
TF factor-bounds graph:
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266
265
264
263
262
261
260
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: 2023-04-26T21:34:10+00:00