is 2 101323 - 1
has 30502 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-daysProbabilityProb over default TF
Actual267293.259474.6269%100000000065533129061401,153.517225.4590%1,446.776581.0866%6.4598%
PrimeNet2400.000057.5000%1100190000.00008.0837%0.000060.9356%3.4356%
GPU722440.000061.3636%1200180000.00004.1595%0.000062.9707%1.6071%
Difference+23+293.2593+13.2632%+999998800+6553312888140+1,153.5171+21.2996%+1,446.7765+18.1159%+4.8527%

Known prime factors (1 factor, 29.5 bits, 0.02907055% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101323736010273929.4553632
24 × 227
-162271.261e-98.860e-81.049e-7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02T22:05:59kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 736010273
--0.656--11.735%
2021-12-18T05:38:43Seth_TrManual testing10000000006553312906140-
skipped known factor: 736010273
--1,154--25.459%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-11-02T23:29:52J.R. AllenManual testing252257--0.184--
2022-04-13T17:48:16LordJuliusManual testing2125729.45591.26079e-90.0002.61635e-9
2018-11-02T23:29:52J.R. AllenManual testing257258--0.189--
2022-04-13T17:48:16LordJuliusManual testing257258--0.189--
2018-11-02T23:29:52J.R. AllenManual testing258259--0.379--
2022-04-13T17:48:16LordJuliusManual testing258259--0.379--
2018-11-02T23:29:52J.R. AllenManual testing259260--0.758--
2022-04-13T17:48:16LordJuliusManual testing259260--0.758--
2022-04-13T17:48:16LordJuliusManual testing260261--1.516--
2022-04-13T17:48:16LordJuliusManual testing261262--3.032--


ECM factoring results:
Total ECM effort:12.598 GHz-days
Estimated T-Level:30.756
DigitsB1CompleteFacMiss
201100082.4900.000%
255000012.9390.000%
302500001.54521.330%
3510000000.15185.963%
4030000000.01398.746%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.652
250000250000005856.791
10000001000000001115.154


Lucas-Lehmer results:
No L-L results for M101323


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:55:35Oliver KrusePRP
736010273
C9A154781D8138__no
2017-09-21T21:30:30Oliver KruseManual testing
736010273
C9A154781D8138__no
2017-10-13T09:55:37kkmrkkblmbrbkManual testing
736010273
C9A154781D8138__no
2020-04-17T15:25:57Oliver KruseAddPrpType5
736010273
BCA5A513D401F1__no
2022-04-15T06:47:34LordJuliusWhiteBox
736010273
BCA5A513D401F160no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6553312906140 (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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Last modified: 2022-04-15T06:47:34+00:00