is 2 40883 - 1
has 12308 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
Actual267726.803776.1194 %89000000073554676598403041,483.665530.7590 %42,210.469283.4648 %
Target2440.000163.6364 %500500000.00001.9249 %0.000164.3363 %
Difference+23+726.8037+12.4830 %+889999500+735546765934030+41,483.6655+28.8341%+42,210.4692+19.1285 %

Known prime factors (2 factors, 162.7 bits, 0.39788963% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4088322804718595993919993405672580.91627890221603103881801
13 × 265570199 × 8078472923
2014-04-2326557019980784729235,989,4470.71550.8509
4088340765100442868806953147692581.75449855808579200165048
23 × 13 × 73 × 137 × 47933484131587
2010-05-041374793348413158711,978,8982,703.35,049.0

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00121.388%
2016-09-13kkmrkkblmbrbkManual testing100000000200000000012---39.124%
2021-12-18Lisander ViaeneDesktop10000000001000000000--1.03534.665%
2023-04-07JacobZMServer890000000735546765984030
skipped known factor: 2280471859599391999340567
skipped known factor: 4076510044286880695314769
--57,30270.502%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-01ATHcolab-Pp11000000001000000000027--0.705


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-21ANONYMOUSv4_computers2522530.015
2000-03-22ANONYMOUSv4_computers2532540.029
2000-08-31ANONYMOUSv4_computers212560.235


ECM factoring results:
Total ECM effort:62.770 GHz-days
Estimated T-Level:35.567
DigitsB1CompleteFacMiss
2011000303.0130.000%
255000057.8810.000%
302500008.7610.016%
3510000001.08833.684%
4030000000.11389.276%
45110000000.01098.991%


ECM Summary

B1B2factorcurvesGHz-days
10.003
5000050000002820.191
250000250000005832.171
10000001000000001,33519.89
3000000114863248505040.52


Lucas-Lehmer results:
No L-L results for M40883


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
2280471859599391999340567
4076510044286880695314769
E201DAB15FB0B9E0
2017-10-02kkmrkkblmbrbkManual testing
2280471859599391999340567
4076510044286880695314769
E201DAB15FB0B9E0
2017-12-07ATHxps
2280471859599391999340567
4076510044286880695314769
E201DAB15FB0B9E0
2020-04-17Oliver KruseManual testing
2280471859599391999340567
4076510044286880695314769
282AE3A9B1BFE6FB


CERT results:
No CERT results for M40883


P-1 factor-bounds graph:
B1 = 890000000, B2 = 735546765984030 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 890000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
101
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108
109
101
102
103
104
105
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109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
256
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.57 ~= 102-bit
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Last modified: 2024-03-13T02:15:48+00:00