is 2 98773 - 1
has 29734 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267300.830474.6269%10000000007345249276365012,898.039828.9080%13,198.870281.9617%7.3349%
PrimeNet2400.000057.5000%1100180000.00007.9334%0.000060.8717%3.3717%
GPU722440.000061.3636%1200160000.00003.9924%0.000062.9062%1.5425%
Difference+23+300.8303+13.2632%+999998800+73452492747650+12,898.0398+24.9156%+13,198.8702+19.0556%+5.7923%

Known prime factors (3 factors, 195.2 bits, 0.19757555% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
98773592639619.1773
3
-137.076e-133.573e-96.558e-9
9877336354166218627431651.69118402886527
3 × 5059 × 1212551
2008-08-26505912125510.00540.00020.0004
987732588507562760671929910437696680982672938124.283131033154949261029325343853921668
22 × 13 × 102673 × 910097 × 16038683 × 1681377439583
2022-09-191603868316813774395831.782e+12295.22551.30

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
9877321544896713641141487772270.868
987731534050533486921851870191886123320890284783144143.460
9877394103034194775641593433826267257216934213073050657
647
53175.975
9877355769128082157641458291029365201049786675101399668
697260433
59195.151
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-02-05T22:55:32kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 592639
skipped known factor: 3635416621862743
--0.656--11.713%
2022-09-19T16:53:36George WoltmanSkylakeX10000000007345249276365038124.28312,8980.00025,79628.908%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-22T21:14:16nordisweet1640000000200000000027--0.533
2021-04-30T16:58:17nordisweet1640000000200000000065--0.533


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:11:00ANONYMOUSManual testing??51.691160.0020.0000.005


ECM factoring results:
Total ECM effort:12.965 GHz-days
Estimated T-Level:30.775
DigitsB1CompleteFacMiss
201100085.9910.000%
255000013.4460.000%
302500001.59720.255%
3510000000.15585.636%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.015
5000050000002740.636
250000250000006297.300
10000001000000001085.014


Lucas-Lehmer results:
No L-L results for M98773


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:51:59Oliver KruseOliver-PC
592639
3635416621862743
EFCBC45FB74295__no
2017-09-21T21:56:38Oliver KruseManual testing
592639
3635416621862743
EFCBC45FB74295__no
2017-10-13T09:00:46kkmrkkblmbrbkManual testing
592639
3635416621862743
EFCBC45FB74295__no
2020-04-17T15:25:35Oliver KruseAddPrpType5
592639
3635416621862743
4F59B71E3EF47F__no
2022-09-19T18:56:52George WoltmanManual testing
592639
3635416621862743
25885075627606719299104376966809826729
4F59B71E3EF47FE7no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 73452492763650 (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: 2022-09-19T18:56:52+00:00