is 2 187699 - 1
has 56504 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2B5C657131D6D69Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267158.306273.1343%10000000020000000001.360712.2743%159.667076.4319%3.2976%
PrimeNet2400.000055.0000%2000450000.000012.1087%0.000060.4489%5.4489%
GPU722440.000059.0909%3400700000.00008.4361%0.000162.5420%3.4511%
Difference+23+158.3062+14.0434%+99996600+1999930000+1.3607+3.8382%+159.6669+13.8899%+13.8899%

Known prime factors (1 factor, 104.4 bits, 0.05564643% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1876992766408780374986253331255009460132104.44873692688303480206429742700
22 × 52 × 7 × 16451 × 230047577 × 27817390943
2015-12-02230047577278173909438.809e+1111.58818.926

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.596%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.474%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.132%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.918%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.820%
2006-02-01T00:00:00Jocelyn Larouchev4_computers10000001000000---0.007--1.911%
2009-01-29T06:10:00axnManual testing5000000200000000---0.104--7.666%
2013-10-02T19:17:00alpertronManual testing1000000002000000000---1.361--12.274%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.013--
2022-03-07T04:34:34LordJuliusManual testing254255--0.013--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.051--
2002-05-18T00:00:00ANONYMOUSv4_computers21257--0.102--
2022-03-07T04:34:34LordJuliusManual testing257258--0.102--
2008-12-30T05:31:00Sturle Sundeletov.ifi258259--0.205--
2009-01-23T23:06:00Sturle Sundegigi.ifi259260--0.409--
2013-10-12T20:54:00lycornasteroid260261--0.818--
2015-08-25T13:23:00NRManual testing261262--1.637--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.689 GHz-days
Estimated T-Level:28.586
DigitsB1CurvesCompleteFacMiss
2011000734 / 1007.3400.063%
2550000734 / 2802.6217.236%
30250000459 / 6400.71748.785%

New Calculation Method

Total ECM effort:12.689 GHz-days
Estimated T-Level:28.586
DigitsB1CompleteFacMiss
201100047.1210.000%
25500006.3740.171%
302500000.65152.145%
3510000000.05294.900%
4030000000.00399.656%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002751.340
2500002500000041610.14
2500002500000010.024
2500003125000070.185
25000038500000351.004


Lucas-Lehmer results:
No L-L results for M187699


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:16:46Oliver KruseOllaptop
27664087803749862533312550094601
198C0ADDFF693B__no
2017-09-22T10:05:31Oliver KruseManual testing
27664087803749862533312550094601
198C0ADDFF693B__no
2017-10-12T04:21:18kkmrkkblmbrbkc4.xlarge198C0ADDFF693B__no
2020-04-17T18:58:39Oliver KruseAddPrpType5
27664087803749862533312550094601
8C531B920F6C5E__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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 = 262144 (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:
267
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Last modified: 2022-05-03T00:13:47+00:00