is 2 127579 - 1
has 38406 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L19C5BEFECA220540double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267232.906074.6269%10000000020000000000.770511.9347%233.676677.6551%3.0282%
PrimeNet2400.000057.5000%1400260000.00009.5377%0.000061.5535%4.0535%
GPU722440.000061.3636%2200400000.00006.3299%0.000063.8093%2.4456%
Difference+23+232.9060+13.2632%+99997800+1999960000+0.7705+5.6049%+233.6765+13.8458%+13.8458%

Known prime factors (1 factor, 74.8 bits, 0.05861548% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
127579324590641559757440746312374.781127211626349068985
5 × 2251 × 254489 × 44413223		2008-12-232544894441322331,1890.01010.0171

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.009--4.411%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.374%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.001%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.757%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.006--3.629%
2017-03-26T17:45:12kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 32459064155975744074631
--0.771--11.935%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.019--
2022-03-07T03:14:16LordJuliusManual testing254255--0.019--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.075--
2002-06-09T00:00:00ANONYMOUSv4_computers21257--0.150--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.582 GHz-days
Estimated T-Level:29.984
DigitsB1CurvesCompleteFacMiss
2011000911 / 1009.1100.011%
2550000911 / 2803.2543.841%
30250000638 / 6400.99736.874%
35100000051 / 15660.03396.795%

New Calculation Method

Total ECM effort:11.582 GHz-days
Estimated T-Level:29.984
DigitsB1CompleteFacMiss
201100072.4990.000%
255000010.9450.002%
302500001.23729.019%
3510000000.11389.321%
4030000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
100001000000150.008
5000050000002730.747
250000250000005878.035
1000000100000000512.792


Lucas-Lehmer results:
No L-L results for M127579


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:48:34Oliver KruseOllaptop
32459064155975744074631
425C9DDC906A8D__no
2017-09-22T10:01:28Oliver KruseManual testing
32459064155975744074631
425C9DDC906A8D__no
2017-10-13T19:02:27kkmrkkblmbrbkManual testing
32459064155975744074631
425C9DDC906A8D__no
2020-04-17T15:36:19Oliver KruseAddPrpType5
32459064155975744074631
BCA5CC7A0C37F7__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:14:16+00:00