is 2 1850357 - 1
has 557013 decimal digits
takes 0.100 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
Actual26716.058568.6567%500000150000000.10155.0753%16.160070.2475%1.5908%
PrimeNet2570.010463.1579%90001600000.00143.0232%0.011764.2717%1.1138%
GPU722610.166065.5738%90001500000.00131.6310%0.167366.1353%0.5615%
Difference+6+15.8925+3.0829%+491000+14850000+0.1002+3.4443%+15.9926+4.1122%+4.1122%

Known prime factors (3 factors, 136.5 bits, 0.00737633% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
185035776530765531032.8332068
22 × 11 × 47
-11474.476e-101.020e-61.761e-6
1850357632192972631135.88017083
11 × 1553
2008-07-151115534.200e-97.474e-61.246e-5
18503572525926852604143571932167.77568255121919828
22 × 17063780479957
2020-10-1741706378047995722.24073,131136,589

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18503574838221215806023744392168.713
1850357193311115702578581609831519572931100.609
18503571596873205593753381393732926275932103.655
185035712220992887843502446408843919226167898972742136.488
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:35:41alpertronManual testing5000001500000012-
skipped known factor: 7653076553
skipped known factor: 63219297263
--0.101--5.075%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:47:00J FeitsmaManual testing??35.880111.72574e-90.2143.68732e-9


ECM factoring results:

Old Calculation Method

Total ECM effort:20.366 GHz-days
Estimated T-Level:24.714
DigitsB1CurvesCompleteFacMiss
2011000264 / 1002.6407.042%
2550000264 / 2800.94338.886%

New Calculation Method

Total ECM effort:20.366 GHz-days
Estimated T-Level:24.714
DigitsB1CompleteFacMiss
20110009.0480.012%
25500000.82044.041%
302500000.05195.052%
3510000000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
500005000000221.521
50000500000030.207
500006525716141.086
50000660000021817.00
50000675000070.552


Lucas-Lehmer results:
No L-L results for M1850357


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T06:16:22Oliver KruseGTX-1
7653076553
63219297263
115581B0140220__no
2017-11-06T22:54:01ATHec2-1xf
7653076553
63219297263
115581B0140220__no
2020-10-18T07:15:44mrh.orgx
7653076553
63219297263
252592685260414357193
6BD9F6FC44A95EC9no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
267
2
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2100
Last modified: 2021-07-14T09:03:45+00:00