is 2 1009 - 1
has 304 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26729,448.877685.0746%10000000000100000000000.191311.0580%29,449.069086.7251%
Target2440.002377.2727%500500000.00000.6075%0.002377.4108%
Difference+23+29,448.8753+7.8019%+9999999500+9999950000+0.1913+10.4505%+29,449.0666+9.3143%

Known prime factors (8 factors, 1,009.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10093454817721.7201712
24 × 107
-161073.795e-104.010e-106.230e-10
10091985826844391237.53198405691
3 × 1931 × 16987
-1931169873.508e-55.264e-87.519e-8
1009206499077890791444.23110232858171
23 × 113 × 3937229
-11339372290.00324.106e-67.665e-6
1009216246416970471444.29810715877947
89 × 9227 × 13049
-9227130490.00261.805e-73.593e-7
1009308502536157235942843245292684.67315287538957246577940696
23 × 23 × 17189 × 27799 × 81761 × 2126639
-8176121266395.443e+93.696e-64.140e-6
100911343273024215964867793790195993199.840562104708831316395827244311
43 × 83 × 157496416035672848368519
-831574964160356728483685191.356e+141.642e+113.066e+11
100932801629399316220386255938566077541078836238345868
341181567256008155638984594836583203447
89294.04316254523983803875315290356078333766639661168655038
821199983774037738175909115379872747

3 × 57369157 × 3293864083 × 28672717646985498845922706848936398759256422796338074331129319595879
2013-07-123293864083286727176469854988459227068489363987592564227963380743311293195958791.557e+142.989e+555.582e+55
1009
click to show decimal representation
116382.6632013-07-12

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
unknown1000000000010000000000-
skipped known factor: 3454817
skipped known factor: 198582684439
skipped known factor: 20649907789079
skipped known factor: 21624641697047
skipped known factor: 30850253615723594284324529
--0.191--11.058%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-01ANONYMOUSv4_computers??103.549325.61819e+134.60948e-81.94521e+14
2002-09-22ANONYMOUSv4_computers??103.549325.61819e+134.60948e-81.94521e+14
2009-10-25Carsten Kossendeyv4_computers??110.249342.01043e+134.60948e-86.96080e+13
2022-11-04omylistManual testing21238
skipped known factors(?)
--3.62921e-5--


ECM factoring results:
Total ECM effort:27,102.185 GHz-days
Estimated T-Level:56.116
DigitsB1CompleteFacMiss
20110004,060.2500.000%
25500001,530.4440.000%
30250000668.3900.000%
351000000237.7920.000%
40300000073.5860.000%
451100000019.8630.000%
50440000004.8630.773%
551100000001.08733.708%
602600000000.22379.990%
658000000000.04395.810%
7024000000000.00899.235%
7572000000000.00199.883%


ECM Summary

B1B2factorcurvesGHz-days
5000005000000000.00000e+0
500000500000000000.00000e+0
260000000260000000001,10178.81
26000000031785598845165121,482
50000000050000000000243.304
100000000010000000001,951364.2
1000000000100000000000002,75425,174


Lucas-Lehmer results:
No L-L results for M1009


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-02ATHManual testing
3454817
198582684439
20649907789079
21624641697047
30850253615723594284324529
1134327302421596486779379019599
32801629399316220386255938566077541078836238345868
341181567256008155638984594836583203447
PRP


P-1 factor-bounds graph:
B1 = 10000000000 (P-1 stage 1)
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TF factor-bounds graph:
238
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=56.12 ~= 170-bit
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Last modified: 2023-10-02T12:12:48+00:00