is 2 3041053 - 1
has 915449 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-L8B67E923F851C2E5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.600167.6471%30000001000000001.02248.0327%20.622570.2459%2.5988%
PrimeNet2600.050563.3333%120002200000.00292.5214%0.053464.2579%0.9245%
GPU722641.170465.6250%130002200000.00301.4301%1.173466.1166%0.4916%
Difference+4+18.4297+2.0221%+2987000+99780000+1.0194+6.6025%+19.4491+4.1293%+4.1293%

Known prime factors (1 factor, 87.0 bits, 0.00286121% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30410531559068215475137877877799592787.01125633690295353909943
37 × 613068011 × 1130058049
2020-10-13613068011113005804917,050,52179.136153.98

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.147%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.249%
2010-10-07T14:49:00markrtiny1100002420000---0.029--2.657%
2016-10-12T04:01:52Squeeky_SquirrelP4_260019500053137506---0.058--3.492%
2017-01-04T22:58:49Jocelyn Larouchelow 4M132000132000---0.016--1.000%
2017-08-04T01:09:21Jocelyn Larouchelow 4M39000039000006---0.072--3.585%
2017-08-12T23:25:24mikrMSI300000010000000012---1.022--8.033%
2021-01-14T13:16:36Jocelyn LaroucheManual testing304105304105---0.038--1.531%
2021-01-14T22:55:44Jocelyn LaroucheManual testing30410530410536---0.056--3.282%
2022-01-06T11:35:15Jocelyn LaroucheManual testing1206156116447100---0.924--7.584%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-12T00:00:00ANONYMOUSv4_computers21259--0.025--
2001-04-21T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-02-14T02:41:00Sturle Sundegoscha.ifi260261--0.051--
2010-10-29T22:02:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.323--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.646--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.229--
2015-06-03T21:52:00ThaManual testing265266--2.457--
2017-05-05T02:55:07Gordon SpenceManual testing266267--4.915--
2018-07-22T23:52:53ramgeisManual testing267268--9.83--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.095 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:2.095 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.746
50000500000030.349


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12T00:00:00ANONYMOUSv4_computers8B67E923F851C2E50.259
1999-05-23T00:00:00ANONYMOUSv4_computers8B67E923F851C2E50.259


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-16T13:15:18Klaus Nordmannno1
155906821547513787787779959
172D0B2AE0CB53__no
2020-11-11T15:45:47Oliver KruseIOS-5
155906821547513787787779959
172D0B2AE0CB536Dno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1206156, B2 = 116447100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1206156 (P-1 stage 1)
B1 = 390000, B2 = 3900000 (P-1 stage 2)
B1 = 195000, B2 = 5313750 (P-1 stage 2)
B1 = 304105, B2 = 3041053 (P-1 stage 2)
B1 = 390000 (P-1 stage 1)
B1 = 304105 (P-1 stage 1)
B1 = 110000, B2 = 2420000 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 132000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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102
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1010
TF factor-bounds graph:
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Last modified: 2022-01-06T11:35:15+00:00