is 2 3147719 - 1
has 947558 decimal digits
takes 0.268 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.935967.6471%10000001199121000.92297.4936%19.858870.0715%2.4244%
PrimeNet2600.048863.3333%130002400000.00312.6495%0.051964.3048%0.9715%
GPU722641.130865.6250%150002400000.00341.5440%1.134166.1558%0.5308%
Difference+4+17.8051+2.0221%+985000+119672100+0.9196+5.9496%+18.7247+3.9157%+3.9157%

Known prime factors (3 factors, 163.9 bits, 0.00520797% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
314771925181753824.5864
22
-447.107e-134.936e-71.005e-6
3147719177430060320056636572063.9442818391036812
22 × 13 × 211 × 2269 × 113209
2017-06-1422691132091.10540.00100.0014
3147719499344491180991077050012375.4027931846698847500
22 × 54 × 11 × 13 × 397 × 55886609
2022-02-12625558866093,588.60.37580.7018

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31477194467999953754767168116507212788.530
314771912574369638830395597477320467533199.988
314771988598723190731235997593928540407918284865742139.346
31477192231071163504365874276118902804202717493671695572150163.932
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-01-05T11:55:15Jocelyn LaroucheManual testing314771314771-
skipped known factor: 25181753
skipped known factor: 17743006032005663657
--0.039--1.565%
2021-01-05T18:32:50Jocelyn LaroucheManual testing31477131477196-
skipped known factor: 25181753
skipped known factor: 17743006032005663657
--0.058--3.338%
2022-02-12T07:46:44Jocelyn LaroucheManual testing10000001199121002375.4020.9230.5361.8467.494%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-01-04T11:44:53Jocelyn LaroucheManual testing260261--0.049--
2021-01-05T04:03:46Jocelyn LaroucheManual testing261262--0.098--
2022-03-23T07:30:02LordJuliusManual testing2126224.58687.10663e-130.5931.57253e-12
2021-01-06T11:50:28Jocelyn LaroucheManual testing262263--0.312--
2022-03-23T07:30:02LordJuliusManual testing262263--0.312--
2017-06-14T15:29:15TJAOIManual testing263264*63.944200.5980.5441.215
2022-03-23T07:30:02LordJuliusManual testing26326463.944200.5980.5441.215
2021-01-12T22:50:17Jocelyn LaroucheManual testing264265--1.187--
2022-03-23T07:30:02LordJuliusManual testing264265--1.187--
2022-03-23T07:30:02LordJuliusManual testing265266--2.374--
2022-03-23T07:30:02LordJuliusManual testing266267--4.748--
2021-07-19T17:18:09Jocelyn LaroucheManual testing267268--9.496--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.351 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.351 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.351


Lucas-Lehmer results:
No L-L results for M3147719


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:09:15alpertronManual testing
25181753
17743006032005663657
3B0A6111EA0D55__no
2017-11-18T09:51:06Oliver KruseGTX-1
25181753
17743006032005663657
3B0A6111EA0D55__no
2022-02-19T12:30:44GANLMS-09
25181753
17743006032005663657
49934449118099107705001
C2312AC3F7A2D060no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 314771, B2 = 3147719 (P-1 stage 2)
B1 = 314771 (P-1 stage 1)
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TF factor-bounds graph:
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261
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Last modified: 2022-03-23T07:30:02+00:00