is 2 2378737 - 1
has 716072 decimal digits
takes 0.161 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD7907CDA294FC46Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.491567.1642%3000000600000000.59817.8342%13.089569.7366%2.5724%
PrimeNet2590.032362.7119%100001700000.00182.4755%0.034163.6349%0.9231%
GPU722630.671065.0794%100001400000.00171.2725%0.672665.5237%0.4444%
Difference+4+11.8205+2.0848%+2990000+59860000+0.5964+6.5617%+12.4169+4.2129%+4.2129%

Known prime factors (1 factor, 88.5 bits, 0.00371973% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23787374324220872621640692631901612788.48390893210821995888840
23 × 3 × 5 × 19 × 21557 × 864439 × 2139311
2015-10-13864439213931137,304,3180.09150.1723

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.287%
2010-11-07T17:07:00Jocelyn LaroucheManual testing1500015000---0.001--0.243%
2010-11-15T22:51:00Jocelyn LaroucheManual testing2000020000---0.002--0.310%
2010-12-28T03:36:00markrtiny1000002050000---0.020--2.721%
2014-09-10T00:51:00Jocelyn LaroucheManual testing126983126983---0.012--1.074%
2015-10-12T17:08:51mikrMSI3000000600000002788.4830.2940.3210.5887.834%
2018-09-28T16:24:46alpertronManual testing20000006000000012-
skipped known factor: 432422087262164069263190161
--0.505--7.608%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.032--
2022-03-09T16:37:54LordJuliusManual testing21260--0.065--
2009-01-15T02:07:00Sturle Sundegoober.ifi260261--0.065--
2012-05-31T20:06:00Sebastian HornbostelManual testing261262--0.129--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.413--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.825--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.571--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.334 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.334 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.334


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersD7907CDA294FC46D0.161


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:29:15alpertronManual testing
432422087262164069263190161
2DA1569FAA74D9__no
2017-11-02T06:03:08Oliver KruseGTX-3
432422087262164069263190161
2DA1569FAA74D9__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 100000, B2 = 2050000 (P-1 stage 2)
B1 = 126983 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
267
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-09T16:37:54+00:00