is 2 1870859 - 1
has 563185 decimal digits
takes 0.101 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
Actual26715.882568.6567%500000150000000.10155.0821%15.984070.2496%1.5929%
PrimeNet2570.010363.1579%90001600000.00143.0294%0.011664.2740%1.1161%
GPU722610.164265.5738%100001500000.00141.6898%0.165666.1555%0.5817%
Difference+6+15.7183+3.0829%+490000+14850000+0.1001+3.3923%+15.8184+4.0941%+4.0941%

Known prime factors (4 factors, 219.8 bits, 0.01175084% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18708593741719721.8351
1
-111.494e-137.866e-81.601e-7
1870859296909229990346631754.7217935104409
3 × 421 × 6282743
2014-12-1042162827430.00140.02700.0503
18708591644644983472259240072167.15643954274038617
32 × 439823 × 11104031
2015-08-154398231110403125.0020.08030.0889
1870859826319030437733732116332376.12922083947278702824
23 × 3 × 920164469945951
2020-11-27892016446994595111,4103,943,5957,365,537

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18708591110950907130249802056972476.556
18708596153799382912838371495480332788.992
18708593091853616250446622400582171273097.964
1870859488310275650234850785467242919685464137121.877
1870859245341747053637322008829105048300183467940130.850
18708591359001448157079873784891438654652958637343144143.285
18708591827119836295721095646147706710202575046787944143.712
1870859917999876443788786869554030112220714185327320146152.685
18708595085001539596860748258530208951449413739560786788950165.121
187085940350007352808456056437319254334638839906972183549
2031238753
60198.006
187085915097838916214310338703658976300975050541787605165
75407634635636407
67219.842
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-08-15T18:11:00alpertronManual testing50000015000000122167.1560.1010.2030.2035.082%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-12-10T12:40:00TJAOIManual testing254255*54.721178.57944e-50.2140.000


ECM factoring results:

Old Calculation Method

Total ECM effort:19.796 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.796 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8100.015%
25500000.79845.022%
302500000.04995.183%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000382.631
50000500000010.069
50000643387870.540
50000660000021216.56


Lucas-Lehmer results:
No L-L results for M1870859


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:24:52alpertronManual testing
3741719
29690922999034663
164464498347225924007
D227591CEDDDC9__no
2017-10-19T21:44:46Oliver KruseGTX-3
3741719
29690922999034663
164464498347225924007
D227591CEDDDC9__no
2020-11-27T15:21:09mrhw
3741719
29690922999034663
164464498347225924007
82631903043773373211633
B36E81514A0CE9ACno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
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104
105
106
100
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1010
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TF factor-bounds graph:
267
255
220
230
240
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2100
Last modified: 2021-09-29T12:09:39+00:00