is 2 1836433 - 1
has 552822 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFE30440F7FB98E75double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.180268.6567%500000150000000.10155.0707%16.281770.2460%1.5893%
PrimeNet2570.010563.1579%80001500000.00122.8810%0.011764.2193%1.0614%
GPU722610.167365.5738%90001400000.00131.5957%0.168566.1231%0.5494%
Difference+6+16.0130+3.0829%+491000+14860000+0.1002+3.4750%+16.1132+4.1229%+4.1229%

Known prime factors (2 factors, 141.8 bits, 0.00771895% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
183643318337591351399227431960.670499271994987
3 × 857 × 4561 × 42577
2009-07-214561425770.11560.00050.0007
183643325626683629994091422029372581.084697729882603778396
22 × 191 × 2657 × 2707 × 126973811
2021-01-202707126973811519,2690.54441.0164

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1836433469931652098423810086734678213580700769619143141.753
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:40:13alpertronManual testing5000001500000012-
skipped known factor: 1833759135139922743
--0.101--5.071%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.146 GHz-days
Estimated T-Level:24.446
DigitsB1CurvesCompleteFacMiss
2011000249 / 1002.4908.188%
2550000249 / 2800.88941.030%

New Calculation Method

Total ECM effort:19.146 GHz-days
Estimated T-Level:24.446
DigitsB1CompleteFacMiss
20110008.5220.020%
25500000.77246.197%
302500000.04895.334%
3510000000.00299.780%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000292.004
50000660000021516.75
50000675000050.394


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersFE30440F7FB98E750.100


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T03:16:02Oliver KruseGTX-0
1833759135139922743
B1B4674D92B4AB__no
2017-11-06T11:09:23ATHec2-1xf
1833759135139922743
B1B4674D92B4AB__no
2021-01-23T09:40:58Sébastien BrouckePortable_Seb
1833759135139922743
2562668362999409142202937
4C1CE0949770A556no
2021-01-23T10:02:10rucio
1833759135139922743
2562668362999409142202937
4C1CE0949770A556no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
258
250
260
270
280
290
2100
Last modified: 2021-05-28T18:41:07+00:00