is 2 1947641 - 1
has 586299 decimal digits
takes 0.106 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
Actual26715.256468.6567%500000150000000.10155.1067%15.357870.2573%1.6006%
PrimeNet2580.019763.7931%80001400000.00122.4662%0.020964.6860%0.8929%
GPU722620.315466.1290%8000900000.00101.1528%0.316466.5195%0.3905%
Difference+5+14.9409+2.5277%+492000+14910000+0.1005+3.9539%+15.0414+3.7378%+3.7378%

Known prime factors (3 factors, 203.6 bits, 0.01045314% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19476412145118981922231547.60855069671
3 × 31 × 103 × 5749
-10357491.773e-53.230e-54.598e-5
1947641791020373778937811220172376.06620307140119224688
24 × 53411 × 23762825213
2021-12-0653411237628252138,313.5101.85190.21
194764111401849836936903893004732579.916292709227135208796
22 × 32 × 11 × 1699 × 435058690399
2022-04-14169943505869039995,1921,864.63,482.5

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
19476411696832818880416916177131254688347379138123.674
194764124458324514240235415375560323025882147939127.524
19476419019095519785150850754437757497170728968881404147155.982
194764119347032999260868593113102272681521117605369819649
812719403143
62203.590
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:19:10alpertronManual testing5000001500000012-
skipped known factor: 214511898192223
--0.101--5.107%


Trial Factoring results:
No TF results for M1947641


ECM factoring results:

Old Calculation Method

Total ECM effort:20.971 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:20.971 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110009.0690.012%
25500000.80644.664%
302500000.05095.126%
3510000000.00299.770%


ECM Summary

B1B2factorcurvesGHz-days
500005000000392.713
50000500000030.209
50000750000019015.88
500007500000262.173


Lucas-Lehmer results:
No L-L results for M1947641


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T04:52:05Oliver KruseGTX-3
214511898192223
482C8B0E32E721__no
2017-11-11T10:14:15kkmrkkblmbrbkc4.xlarge
214511898192223
482C8B0E32E721__no
2021-12-08T13:41:15SRJ2877LTOS
214511898192223
79102037377893781122017
2B1CB0964BCA1AE0no
2022-04-20T11:21:58Poaooffice-CN2
214511898192223
79102037377893781122017
1140184983693690389300473
2B1CB0964BCA1AE0no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
240
250
260
270
280
290
2100
Last modified: 2022-04-28T10:17:50+00:00