is 2 1862957 - 1
has 560806 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
Actual26715.949968.6567%500000150000000.10155.0795%16.051370.2488%1.5921%
PrimeNet2570.010363.1579%90001600000.00143.0270%0.011764.2731%1.1152%
GPU722610.164965.5738%100001500000.00141.6884%0.166366.1550%0.5812%
Difference+6+15.7850+3.0829%+490000+14850000+0.1001+3.3911%+15.8851+4.0938%+4.0938%

Known prime factors (4 factors, 263.2 bits, 0.01412741% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1862957965011727929.846259
7 × 37
-7374.054e-116.792e-71.121e-6
18629578936413550813410408332169.598239844868958688
25 × 3 × 7 × 356912007379
2020-12-0232356912007379101.431,529.62,856.9
186295790376205972929841357992272.9362425611701529607
30829 × 78679545283
2021-08-273082978679545283647.48337.20629.80
186295721656247520730489188854665592890.807581233155696306709947
32 × 13 × 17167 × 289381065389473
2021-08-2717167289381065389473252,495,5571,240,2152,316,376

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18629578623743873856651432902308485913099.444
1862957872140986056447414587099551487331102.782
1862957208985328203195976736914699930133739337120.653
1862957807639151727594114114649283949944767608056743142.535
1862957193529183804025266624142279910181668522587500364749160.405
18629571957209486534289905435892072879182539304952924564150163.743
186295777938125260146062961681278150384958174406445518092
09
52172.381
186295718675793188762285209659900142984181682472370223555
22768369
58190.251
186295718887301067012383463633568970347498046029180013873
028632007
59193.589
186295717490433377245585418194730964942320414806654885239
399116316112268258953
71233.342
186295716878473319354204887538114550779365078879926401897
859349678485377918459517741831
80263.188
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:37:14alpertronManual testing5000001500000012-
skipped known factor: 965011727
--0.101--5.079%


Trial Factoring results:
No TF results for M1862957


ECM factoring results:

Old Calculation Method

Total ECM effort:19.792 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.792 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
201100010.6250.002%
25500000.97837.611%
302500000.06293.983%
3510000000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.284
50000500000060.415
50000660000070.546
500006600000120.937
50000660000020015.61


Lucas-Lehmer results:
No L-L results for M1862957


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T09:21:48Oliver KruseGTX-3
965011727
96B94CF8CD213C__no
2017-11-07T12:21:58kkmrkkblmbrbkold
965011727
96B94CF8CD213C__no
2020-12-03T15:56:10Poaopc-Home
965011727
893641355081341040833
83F7DD895D0C7380no
2021-08-28T06:52:50SRJ2877LTOS
965011727
893641355081341040833
9037620597292984135799
2165624752073048918885466559
83F7DD895D0C7380no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
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1010
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TF factor-bounds graph:
267
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230
240
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2100
Last modified: 2021-08-28T06:52:50+00:00