is 2 1853801 - 1
has 558050 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
Actual26716.028668.6567%500000150000000.10155.0765%16.130170.2478%1.5911%
PrimeNet2570.010463.1579%90001600000.00143.0242%0.011764.2721%1.1142%
GPU722610.165765.5738%90001500000.00131.6316%0.167066.1355%0.5617%
Difference+6+15.8629+3.0829%+491000+14850000+0.1002+3.4448%+15.9631+4.1124%+4.1124%

Known prime factors (4 factors, 234.7 bits, 0.01265938% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
185380111122807823.4073
3
-136.032e-138.723e-81.601e-7
1853801220367407407901564972064.2575943664055848
23 × 192 × 1153 × 1784957
2015-07-07115317849572.71750.00770.0143
18538012720579556793535064412167.88273378414317220
22 × 5 × 59 × 173137 × 359167
2015-07-0717313735916727.8950.01440.0277
18538016631880233960826738673612479.134178872495860149680
24 × 3 × 5 × 43 × 17332606187999
2020-11-214317332606187999121,79674,283138,740

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18538012451104141688459382159270792787.664
185380130260481338360029369164998872891.289
1853801737651238894611213747060000232731102.541
1853801599527063577529215349081632821408749717740132.139
18538011461450253397655054104001023409256741039441744143.390
185380118042557787616951638709088438207373349317220145147.016
18538016668423819449586999189272629117394991221281583947155.546
185380116255429108643211419373361311183644744030689416851
9
51166.797
185380120068388805801034300569491984411203974139902094882
07
52170.423
185380139759916826643918994973381067916817977768617444648
45259759939897
64211.273
185380144224188119881276870472288775589265842085062249365
792109174677805930879
71234.680
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-07-07T17:23:00alpertronManual testing500000150000001240132.1390.1010.2010.2035.076%


Trial Factoring results:
No TF results for M1853801


ECM factoring results:

Old Calculation Method

Total ECM effort:20.346 GHz-days
Estimated T-Level:24.732
DigitsB1CurvesCompleteFacMiss
2011000265 / 1002.6506.972%
2550000265 / 2800.94638.747%

New Calculation Method

Total ECM effort:20.346 GHz-days
Estimated T-Level:24.732
DigitsB1CompleteFacMiss
20110009.0560.012%
25500000.82144.018%
302500000.05195.050%
3510000000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.283
50000500000040.277
50000660000022117.24
50000670000070.550


Lucas-Lehmer results:
No L-L results for M1853801


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T06:59:14Oliver KruseGTX-1
11122807
22036740740790156497
272057955679353506441
BC5120D5BEF7AADCno
2017-10-05T21:20:16Oliver KruseManual testing
11122807
22036740740790156497
272057955679353506441
BC5120D5BEF7AA__no
2017-11-11T03:59:27kkmrkkblmbrbkc4.xlarge
11122807
22036740740790156497
272057955679353506441
BC5120D5BEF7AA__no
2020-11-21T19:06:42rbanovccg_lnx01
11122807
22036740740790156497
272057955679353506441
663188023396082673867361
8CD016E5D66415EFno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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106
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TF factor-bounds graph:
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2100
Last modified: 2021-08-06T10:58:15+00:00