is 2 3397393 - 1
has 1022718 decimal digits
takes 0.357 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEFD721EC234A2ABBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27070.333568.5714 %610000022018266270183.568213.8352 %253.901772.9196 %
Target2641.047765.6250 %1900016000000.01601.8189 %1.063766.2503 %
Difference+6+69.2859+2.9464 %+6081000+22016666270+183.5522+12.0163%+252.8380+6.6694 %

Known prime factors (1 factor, 88.6 bits, 0.00260853% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33973934763492481425591972783656632788.62270105114148195277567
32 × 132 × 116351 × 396141522577
2023-05-2811635139614152257727,185,5263,286.96,138.9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-11Carsten Kossendeymother15000206250--0.0041.499%
2011-10-24USAFSSP4_2600600009450006--0.0163.108%
2012-12-09Squeeky_SquirrelP4_2600230000672750012--0.0895.758%
2021-06-07NumberwangManual testing100000030000000--0.5198.619%
2021-07-29mikrMSI400000015000000012--1.56211.882%
2023-05-14JossManual testing1000000887672940--7.86113.270%
2023-05-23Sid & AndyMagic_8_Ball610000022018266270--192.219.938%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.045
2009-03-25S485122USB-A2602610.045
2011-08-14Grant McCrackenhome2612620.090
2012-11-02lycornManual testing2622640.867
2013-10-25David CampeauManual testing2642651.100
2015-04-05Gordon SpenceManual testing2652662.200
2017-03-12Gordon SpenceManual testing2662674.399
2018-09-03TJAOIManual testing2672688.798
2021-06-21TJAOIManual testing26826917.60
2021-09-03MadPooManual testing26927035.19


ECM factoring results:
Total ECM effort:100.514 GHz-days
Estimated T-Level:23.691
DigitsB1CompleteFacMiss
20110005.6700.345%
25500000.73847.801%
302500000.07193.175%
3510000000.00599.452%


ECM Summary

B1B2factorcurvesGHz-days
500005000000648.224
50000673549071.018
50000679085271.022
2500002942778302190.25


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04ANONYMOUSv4_computersEFD721EC234A2ABB0.357


PRP results:
dateuseridcompidcofactorsres64
2023-05-28Harukaserver
476349248142559197278365663
A93B9EFCD6378A04


CERT results:
dateuseridcompid
2023-05-28Steve Jacobsoni5s2800


P-1 factor-bounds graph:
B1 = 6100000, B2 = 22018266270 (P-1 stage 2)
B1 = 1000000, B2 = 887672940 (P-1 stage 2)
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 6100000 (P-1 stage 1)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 230000, B2 = 6727500 (P-1 stage 2)
B1 = 230000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
270
269
268
267
266
265
264
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=23.69 ~= 62-bit
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00