is 2 3678347 - 1
has 1107293 decimal digits
takes 0.386 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9F42BF19443BCB74double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2678.078167.1642%1000001303648501.09615.9939%9.174169.1323%1.9681%
PrimeNet2600.041863.3333%160003200000.00503.0805%0.046764.4629%1.1295%
GPU722640.967665.6250%220004000000.00652.0390%0.974166.3259%0.7009%
Difference+3+7.1104+1.5392%+78000+129964850+1.0896+3.9549%+8.2000+2.8064%+2.8064%

Known prime factors (1 factor, 68.0 bits, 0.00184780% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36783472887436843463552727212167.96839249108953880
23 × 3 × 5 × 7 × 19 × 7687 × 319919
2009-08-27768731991912.5110.00380.0050

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-12T19:22:00Carsten Kossendeydurandal20000260000---0.005--1.139%
2022-03-05T05:36:44Jocelyn LaroucheManual testing9000090000---0.014--0.958%
2022-03-22T11:07:51Jocelyn LaroucheManual testing100000100000---0.015--1.017%
2022-05-25T22:30:20Jocelyn LaroucheManual testing100000130364850-
skipped known factor: 288743684346355272721
--1.096--5.994%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-24T00:00:00ANONYMOUSv4_computers21260--0.042--
2009-03-09T16:55:00S485122USB-A260261--0.042--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-24T00:00:00ANONYMOUSv4_computers9F42BF19443BCB740.386
1999-08-16T00:00:00ANONYMOUSv4_computers9F42BF19443BCB740.386


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T19:29:17kkmrkkblmbrbkManual testing
288743684346355272721
681C1F9C5F3C45__no
2017-11-28T23:02:20Oliver KruseThreadripper
288743684346355272721
681C1F9C5F3C45__no


P-1 factor-bounds graph:
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
260
250
260
270
280
290
2100
Last modified: 2022-05-25T22:30:20+00:00