is 2 327211 - 1
has 98501 decimal digits
takes 0.002 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
Actual26790.809771.6418%131072131072000.00863.1626%90.818372.5386%0.8968%
PrimeNet2400.000052.5000%34001000000.000116.1264%0.000160.1601%7.6601%
GPU722440.000056.8182%60001600000.000111.7977%0.000261.9126%5.0944%
Difference+23+90.8096+14.8236%+125072+12947200+0.0085-8.6351%+90.8181+10.6260%+10.6260%

Known prime factors (2 factors, 145.6 bits, 0.04450765% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32721166822060212586419111962.53510210851745905
3 × 5 × 405269 × 1679683
2007-08-1140526916796833.50420.00490.0085
327211103576061799086670807525672683.09915827105720633883153
3 × 19 × 277668521414629529
2015-02-13192776685214146295296,107,273155,988,005291,342,153

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3272116921165838121141545284628387783454224703553744145.634
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-30T00:00:00ANONYMOUSv4_computers10000010000000---0.007--2.824%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.630%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.332%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.163%
2006-01-15T00:00:00Jocelyn Larouchev4_computers327211327211---0.003--1.255%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:28LordJuliusManual testing254255--0.007--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.029--
2002-03-10T00:00:00ANONYMOUSv4_computers21257--0.059--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.117--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.661 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.661 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002692.059
500005000000120.092
250000250000001445.511


Lucas-Lehmer results:
No L-L results for M327211


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T19:40:15Oliver KruseOllaptopCA54AE531B54D3__?
2017-09-22T20:38:32Oliver KruseManual testingCA54AE531B54D3__?
2017-10-13T01:50:28Oliver KruseGTX-1CA54AE531B54D3__no
2017-12-12T08:04:41ATHxps
6682206021258641911
10357606179908667080752567
CA54AE531B54D3__no
2020-04-18T15:08:25Oliver KruseAddPrpType5
6682206021258641911
10357606179908667080752567
1E1870D8228226__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 327211 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T06:36:28+00:00