is 2 100937 - 1
has 30386 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
Actual267294.380874.6269%100000000067344391214101,185.314925.4950%1,479.695781.0957%
Target2440.000061.3636%1200180000.00004.1559%0.000062.9693%
Difference+23+294.3808+13.2632%+999998800+6734439103410+1,185.3149+21.3390%+1,479.6957+18.1264%

Known prime factors (1 factor, 21.9 bits, 0.02166799% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1009373835607721.87119
19
-1192.779e-126.382e-96.558e-9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 3835607
--0.656--11.732%
2021-12-18Seth_TrManual testing10000000006734439121410-
skipped known factor: 3835607
--1,185--25.495%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125721.87172.77923e-120.0005.93061e-12
2018-11-01J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-11-01J.R. AllenManual testing258259--0.380--
2022-04-13LordJuliusManual testing258259--0.380--
2018-11-01J.R. AllenManual testing259260--0.761--
2022-04-13LordJuliusManual testing259260--0.761--
2022-04-13LordJuliusManual testing260261--1.522--
2022-04-13LordJuliusManual testing261262--3.043--
2022-11-01LordJuliusManual testing262263--9.73--
2022-11-01LordJuliusManual testing263264--19.45--
2022-11-01LordJuliusManual testing264265--37.02--
2022-11-01LordJuliusManual testing265266--74.03--
2022-11-01LordJuliusManual testing266267--148.1--


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
250000250000005856.791
10000001000000001145.293


Lucas-Lehmer results:
No L-L results for M100937


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
3835607
3020CB0F4613D3__no
2017-09-21Oliver KruseManual testing
3835607
3020CB0F4613D3__no
2017-10-13kkmrkkblmbrbkManual testing
3835607
3020CB0F4613D3__no
2020-04-17Oliver KruseAddPrpType5
3835607
1023920BD2E0C5__no
2022-04-15LordJuliusWhiteBox
3835607
1023920BD2E0C5A5no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6734439121410 (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
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109
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TF factor-bounds graph:
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265
264
263
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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