is 2 3045281 - 1
has 916721 decimal digits
takes 0.259 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF307115CC236F6C8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.203968.1159%3045281304571652020.834111.4680%60.037971.7724%3.6565%
PrimeNet2600.050463.3333%120002200000.00292.5221%0.053364.2581%0.9248%
GPU722641.168865.6250%130002200000.00301.4305%1.171866.1167%0.4917%
Difference+5+38.0351+2.4909%+3032281+3045496520+20.8311+10.0374%+58.8661+5.6557%+5.6557%

Known prime factors (4 factors, 270.8 bits, 0.00889321% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
304528114033987761159515531960.284230421884896
25 × 7 × 1028669129
2016-01-263210286691290.09386.916512.918
30452811260584477533074836472166.77320697342503583
3 × 31 × 1181 × 188443751
2018-06-2611811884437518.99571.26722.3665
304528116109538303673376342892270.448264500029778424
23 × 3 × 11 × 83 × 101 × 3229 × 37013
-322937013127.820.00060.0008
3045281117787124186017210555132373.3191933928661854476
22 × 7 × 227 × 509 × 14669 × 40751
2008-07-1514669407511,054.50.00200.0037

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
304528117691027129606834528760517968739175379139127.056
3045281226081063391682586478230958943515560081740130.732
30452811653023059248741495807762789694753156168941133.602
304528120307433925835159792864049612808853397198342137.221
3045281148480620402153908044370137094291482669591143140.091
30452811897496188754177013378993165462602546128525744143.767
304528128499427917572616532215294361004963650065771292835
2687339599
60197.505
304528120837752094931998083911883427184477366863536701070
52739199783
61200.375
304528126629438289822946153610425924607779221230312347098
998925154121
62204.051
304528123919542417216849824983612667076890774825204484936
28369129692279
64210.540
304528133568656553575716461283483912008432099573421043861
64673392579049610695582162159287
82270.823
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-07-08T19:21:16Jocelyn LaroucheManual testing14211401522640512-
skipped known factor: 1610953830367337634289
skipped known factor: 11778712418601721055513
--0.268--4.963%
2021-10-27T01:37:45Jocelyn LaroucheManual testing30452813045281-
skipped known factor: 1610953830367337634289
skipped known factor: 11778712418601721055513
--0.376--3.375%
2021-12-18T19:15:23Jocelyn LaroucheManual testing3045281435762600-
skipped known factor: 126058447753307483647
skipped known factor: 1610953830367337634289
skipped known factor: 11778712418601721055513
--3.285--9.156%
2022-03-21T14:12:56Jocelyn LaroucheManual testing30452811048107060-
skipped known factor: 1403398776115951553
skipped known factor: 126058447753307483647
skipped known factor: 1610953830367337634289
skipped known factor: 11778712418601721055513
--7.403--10.200%
2022-07-18T10:48:18Jocelyn LaroucheManual testing30452813045716520-
skipped known factor: 1403398776115951553
skipped known factor: 126058447753307483647
skipped known factor: 1610953830367337634289
skipped known factor: 11778712418601721055513
--20.83--11.468%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-08-25T00:00:00ANONYMOUSv4_computers??143.767441.49102e+100.5263.02597e+10
2001-04-21T00:00:00ANONYMOUSv4_computers21260--0.050--
2016-01-26T12:44:44TJAOIManual testing260261*60.284190.0430.5260.088
2022-03-12T02:19:28LordJuliusManual testing261263--0.423--
2022-03-12T02:19:28LordJuliusManual testing263264--0.645--
2022-03-12T02:19:28LordJuliusManual testing264265--1.227--
2021-01-16T17:21:45Jocelyn LaroucheManual testing265266--2.454--
2022-03-12T02:19:28LordJuliusManual testing26626766.773214.1460.5268.414
2021-01-30T02:41:20Jocelyn LaroucheManual testing267268--9.82--
2021-08-24T23:32:21Jocelyn LaroucheManual testing268269--19.63--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.349 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.349 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000000.00000e+0
50000500000030.349


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07T00:00:00ANONYMOUSv4_computersF307115CC236F6C80.259


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:33:45alpertronManual testing
1403398776115951553
1610953830367337634289
11778712418601721055513
A3ADB5469E79EA__no
2017-11-17T17:29:28Oliver KruseThreadripper
1403398776115951553
1610953830367337634289
11778712418601721055513
A3ADB5469E79EA__no
2018-06-26T10:10:44XyzzyN3060
1403398776115951553
126058447753307483647
1610953830367337634289
11778712418601721055513
348A25EFE0BDC8__no
2018-06-30T01:31:56Luigi MorelliCS50X-C9
1403398776115951553
126058447753307483647
1610953830367337634289
11778712418601721055513
348A25EFE0BDC8__no


P-1 factor-bounds graph:
B1 = 3045281, B2 = 3045716520 (P-1 stage 2)
B1 = 3045281, B2 = 1048107060 (P-1 stage 2)
B1 = 3045281, B2 = 435762600 (P-1 stage 2)
B1 = 3045281 (P-1 stage 1)
B1 = 1421140, B2 = 15226405 (P-1 stage 2)
B1 = 1421140 (P-1 stage 1)
100
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100
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1010
TF factor-bounds graph:
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Last modified: 2022-07-18T10:48:18+00:00