is 2 35227 - 1
has 10605 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
Actualunknown200000000041203939750974021,431.287578.1780%21,431.287578.1780%78.1780%
PrimeNet2400.000060.0000%500100000.00004.2744%0.000061.7097%1.7097%
GPU722440.000163.6364%500100000.00001.8433%0.000164.3067%0.6703%
Difference-44-0.0001-63.6364%+1999999500+412039397499740+21,431.2875+76.3347%+21,431.2874+13.8714%+77.5077%

Known prime factors (2 factors, 178.6 bits, 0.50707930% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35227161158008950614331753.839228742170708
22 × 3 × 191 × 99800249
2014-04-23191998002490.04640.00520.0097
352273676055878389472114203630393602614055338124.789521766809320900461890542821358988
22 × 157 × 23861111 × 187869371 × 185340428670491
2022-03-161878693711853404286704913.955e+129,639.418,003

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3522759242584615244896997437509349862081492713508882759
2449
54178.629
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-24T17:49:33kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 16115800895061433
--0.441--41.469%
2022-03-15T07:23:23nordisweet16_ccx320000000002000000000-
skipped known factor: 16115800895061433
--1.909--36.060%
2022-03-16T06:07:20nordisweet16_30.8b10200000000041203939750974038124.78921,4314.63822e-542,86369.562%
2022-03-18T01:45:28nordisweet16_30.8b11200000000040073951493576038124.78920,8444.63822e-541,68769.508%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-08T23:54:56ATHec2-P_11000000001000000000027--0.705


Trial Factoring results:
No TF results for M35227


ECM factoring results:
Total ECM effort:21.721 GHz-days
Estimated T-Level:34.954
DigitsB1CompleteFacMiss
2011000302.3440.000%
255000056.6620.000%
302500008.2910.025%
3510000000.99137.125%
4030000000.09890.638%
45110000000.00899.181%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003560.245
250000250000005701.957
10000001000000001,42119.52


Lucas-Lehmer results:
No L-L results for M35227


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:46:16Oliver KruseOllaptop
16115800895061433
D4951DF134C990__no
2017-09-21T21:38:53Oliver KruseManual testing
16115800895061433
D4951DF134C990__no
2017-10-12T22:21:06kkmrkkblmbrbkManual testing
16115800895061433
D4951DF134C990__no
2020-04-17T13:48:06Oliver KruseManual testing
16115800895061433
E320E27911F14D__no
2022-03-16T06:59:42nordisweet16_30.8b10
16115800895061433
36760558783894721142036303936026140553
E320E27911F14D2Dno


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 412039397509740 (P-1 stage 2)
B1 = 2000000000, B2 = 400739514935760 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-18T01:45:28+00:00