is 2 2039761 - 1
has 614030 decimal digits
takes 0.134 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCA4DA7487A50CFC0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.567468.6567%500000150000000.12305.1352%14.690370.2663%1.6095%
PrimeNet2580.018863.7931%90001600000.00162.6631%0.020564.7573%0.9642%
GPU722620.301266.1290%90001200000.00141.3289%0.302666.5791%0.4501%
Difference+5+14.2662+2.5277%+491000+14880000+0.1216+3.8063%+14.3877+3.6871%+3.6871%

Known prime factors (1 factor, 65.6 bits, 0.00321550% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2039761554732442384419168812065.58813597976488040
23 × 5 × 7 × 31 × 1566587153
2009-10-163115665871534.02088.137215.198

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.274%
2009-02-10T22:35:00markrManual testing1000003000000---0.025--2.899%
2016-03-17T19:19:50alpertronManual testing5000001500000012---0.123--5.135%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2022-03-09T07:29:22LordJuliusManual testing21260--0.075--
2009-01-02T13:51:00Sturle Sundeginy.ifi260261--0.075--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.486 GHz-days
Estimated T-Level:1.900
DigitsB1CurvesCompleteFacMiss
201100038 / 1000.38068.255%
255000038 / 2800.13687.288%

New Calculation Method

Total ECM effort:3.486 GHz-days
Estimated T-Level:1.900
DigitsB1CompleteFacMiss
20110001.51721.933%
25500000.14186.807%
302500000.00999.107%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000171.441
50000644757970.663
50000687806270.684
50000715000070.697


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computersCA4DA7487A50CFC00.134


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T05:44:33Oliver KruseGTX-3
55473244238441916881
C026C7393DB86D__no
2017-11-14T18:09:05ATHec2-1xf
55473244238441916881
C026C7393DB86D__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 3000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
261
260
258
250
260
270
280
290
2100
Last modified: 2022-07-22T15:46:32+00:00