is 2 44053 - 1
has 13262 decimal digits
takes 0.000 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
Actualunknown10000000020000000000.210746.9763%0.210746.9763%46.9763%
PrimeNet2400.000060.0000%500100000.00004.5216%0.000061.8086%1.8086%
GPU722440.000163.6364%500100000.00001.9669%0.000164.3516%0.7152%
Difference-44-0.0001-63.6364%+99999500+1999990000+0.2107+45.0094%+0.2106-17.3753%-17.3753%

Known prime factors (3 factors, 217.2 bits, 0.49303316% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4405367929727826.018771
3 × 257
-32572.368e-101.743e-82.722e-8
4405348035513071005205993432272.02554520138323162107
19 × 2869480964376953
2010-05-2619286948096437695325,595161,831302,255
4405373936436623146847655273701365578545736119.1548391759542272586163856457149976
23 × 23189 × 2710187 × 16690977271505318629
2020-08-202710187166909772715053186293.556e+12941,324,7541.758e+9

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
440533263039289218315258712463693613098.042
440535022481955163167242133332644043277806458023944145.171
4405335515746678347184143006432979036173472436818286370
63154751
58191.178
4405324125749760612810300531559515097239871072750909417
6482183994182977
66217.196
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-23T20:19:59kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 67929727
--0.211--39.261%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-30T01:11:05ATHec2-P_11000000001000000000027--0.705


Trial Factoring results:
No TF results for M44053


ECM factoring results:

Old Calculation Method

Total ECM effort:15.207 GHz-days
Estimated T-Level:32.749
DigitsB1CurvesCompleteFacMiss
20110001723 / 10017.2300.000%
25500001723 / 2806.1540.210%
302500001445 / 6402.25810.439%
351000000861 / 15660.55057.696%

New Calculation Method

Total ECM effort:15.207 GHz-days
Estimated T-Level:32.749
DigitsB1CompleteFacMiss
2011000207.2830.000%
255000037.9150.000%
302500005.4090.448%
3510000000.63253.127%
4030000000.06294.014%
45110000000.00599.491%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002780.207
250000250000005842.175
100000010000000085912.80
100000010000000020.030


Lucas-Lehmer results:
No L-L results for M44053


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:54:51Oliver KruseOllaptop
67929727
4803551307100520599343
42AD7FF0B8D5EA__no
2017-09-21T21:29:20Oliver KruseManual testing
67929727
4803551307100520599343
42AD7FF0B8D5EA__no
2017-10-13T05:54:16kkmrkkblmbrbkManual testing
67929727
4803551307100520599343
42AD7FF0B8D5EA__no
2020-04-17T13:49:36Oliver KruseManual testing
67929727
4803551307100520599343
3F0970FFDF5F41__no
2020-08-21T11:35:11ANONYMOUSdory
67929727
4803551307100520599343
739364366231468476552737013655785457
3F0970FFDF5F4182no
2020-08-22T22:26:41fre_gamesgpu
67929727
4803551307100520599343
739364366231468476552737013655785457
3F0970FFDF5F4182no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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2120
Last modified: 2021-06-30T01:11:05+00:00