is 2 2122837 - 1
has 639038 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0F89096FBED6CB39double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.997367.1642%500000150000000.12305.1599%14.120368.8585%1.6943%
PrimeNet2580.018162.0690%90001600000.00162.6832%0.019763.0867%1.0178%
GPU722620.289464.5161%100001400000.00161.4545%0.291065.0322%0.5161%
Difference+5+13.7079+2.6481%+490000+14860000+0.1214+3.7054%+13.8292+3.8262%+3.8262%

Known prime factors (1 factor, 62.7 bits, 0.00295256% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
212283773787000696442105531962.6781737933734348
22 × 7 × 23 × 59 × 45739913
2009-11-1859457399130.74060.23760.4437

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.278%
2009-08-03T14:24:00harleeP4_260020000265000---0.003--1.029%
2016-03-16T12:13:03alpertronManual testing5000001500000012---0.123--5.160%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00Walt Cooneyv4_computers21258--0.018--
2022-03-09T09:12:34LordJuliusManual testing21260--0.072--
2009-01-03T16:51:00Sturle Sundegobi.ifi260261--0.072--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.224 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:2.224 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.96738.020%
25500000.09091.408%
302500000.00699.432%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.256
50000586486270.639
50000605444570.648
50000675000070.682


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00Walt Cooneyv4_computers0F89096FBED6CB390.140


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T07:18:23Oliver KruseGTX-3
7378700069644210553
1C799199EE0A83__no
2017-11-17T19:10:05kkmrkkblmbrbkc4.xlarge
7378700069644210553
1C799199EE0A83__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (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
TF factor-bounds graph:
267
261
260
258
250
260
270
280
290
2100
Last modified: 2022-07-06T08:54:32+00:00