is 2 44203 - 1
has 13307 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267672.215076.1194 %81000000093682259855184052,834.985131.0636 %53,507.200083.5376 %
Target2440.000163.6364 %500500000.00001.9688 %0.000164.3523 %
Difference+23+672.2149+12.4830 %+809999500+936822598501840+52,834.9851+29.0948%+53,507.2000+19.1853 %

Known prime factors (4 factors, 202.8 bits, 0.45873837% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
44203442031618.7545
5
-157.900e-131.261e-92.107e-9
4420313345769771030.31415096
23 × 3 × 17 × 37
2008-08-2617373.236e-91.873e-83.581e-8
4420320430177461518424631960.82523109491959277
131 × 176408335567
2009-04-221311764083355673.47479.94918.582
4420391332805833699416706000378972892.883103310641623531679643916
22 × 32 × 1733 × 2969 × 2757257 × 202281679
2010-05-0327572572022816792.269e+100.01410.0213

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-23kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 442031
skipped known factor: 1334576977
skipped known factor: 9133280583369941670600037897
---39.267%
2023-04-19JacobZGreatLakes810000000936822598551840
skipped known factor: 442031
skipped known factor: 1334576977
skipped known factor: 2043017746151842463
skipped known factor: 9133280583369941670600037897
--137,74171.025%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
30.314
10


ECM factoring results:
Total ECM effort:70.738 GHz-days
Estimated T-Level:34.671
DigitsB1CompleteFacMiss
2011000265.0080.000%
255000051.2150.000%
302500007.5980.050%
3510000000.93439.294%
4030000000.09690.845%
45110000000.00899.159%


ECM Summary

B1B2factorcurvesGHz-days
10.003
10.007
5000050000002870.195
250000250000005792.156
100000010000000086613.07
10000001330000001502.474
1000000101077977090.734
1000000375000000010.265
1000000375000000010.265
2489341661611951015051.84


Lucas-Lehmer results:
No L-L results for M44203


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
442031
1334576977
2043017746151842463
9133280583369941670600037897
A1253F87FB0F7F47
2017-09-21Oliver KruseManual testing
442031
1334576977
2043017746151842463
9133280583369941670600037897
A1253F87FB0F7F47
2017-11-06kkmrkkblmbrbkc4.xlarge
442031
1334576977
2043017746151842463
9133280583369941670600037897
A1253F87FB0F7F47
2020-04-17Oliver KruseManual testing
442031
1334576977
2043017746151842463
9133280583369941670600037897
E0BCB113C9BB1A9B


CERT results:
No CERT results for M44203


P-1 factor-bounds graph:
B1 = 810000000, B2 = 936822598551840 (P-1 stage 2)
B1 = 810000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=34.67 ~= 99-bit
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Last modified: 2024-02-29T14:28:04+00:00