is 2 2452103 - 1
has 738157 decimal digits
takes 0.170 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBE6819A66515FF7Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.307767.6471%3102822434395080.53316.8547%24.840769.8648%2.2177%
PrimeNet2590.031362.7119%100001800000.00192.5287%0.033363.6548%0.9429%
GPU722630.650965.0794%100001600000.00181.3336%0.652765.5451%0.4657%
Difference+5+23.6568+2.5677%+3092822+43279508+0.5313+5.5212%+24.1880+4.3197%+4.3197%

Known prime factors (1 factor, 75.9 bits, 0.00309555% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2452103708001723751429306711832375.90614436622844787297
3 × 7 × 11 × 719 × 86921005273
2020-07-22719869210052734,212.8476.29889.57

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.234%
2003-10-31T00:00:00Team Prime Ribv4_computers15000232500---0.003--0.787%
2010-12-15T23:01:00Jocelyn LaroucheManual testing2000020000---0.002--0.262%
2011-01-19T05:35:00Oscar Östlin950001947500---0.020--2.374%
2014-02-05T19:54:00mikrMSI310282243439508---0.533--6.855%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-16T03:34:00Sturle Sundenardi.ifi260261--0.063--
2012-06-07T09:42:00Sebastian HornbostelManual testing261262--0.125--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.400--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.801--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.524--
2015-10-25T20:35:05ramgeisManual testing265266--3.047--
2017-07-14T10:08:12Gordon SpenceManual testing266267--6.095--
2019-07-17T09:51:52TJAOIManual testing267268--12.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.776 GHz-days
Estimated T-Level:3.150
DigitsB1CurvesCompleteFacMiss
201100063 / 1000.63053.091%
255000063 / 2800.22579.819%

New Calculation Method

Total ECM effort:5.776 GHz-days
Estimated T-Level:3.150
DigitsB1CompleteFacMiss
20110002.03213.104%
25500000.18483.221%
302500000.01198.875%


ECM Summary

B1B2factorcurvesGHz-days
500005000000605.501
50000500000030.275


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ari.ornv4_computersBE6819A66515FF7B0.170
2018-05-26T14:32:13kkmrkkblmbrbkoldBE6819A66515FF7B0.170


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-23T05:04:37pew10980xe_1
70800172375142930671183
B4C4CE8DD25E7630no
2020-07-23T05:20:53ATHec2-PRPCFDC
70800172375142930671183
B4C4CE8DD25E7630no


P-1 factor-bounds graph:
B1 = 3102822, B2 = 43439508 (P-1 stage 2)
B1 = 3102822 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 232500 (P-1 stage 2)
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)
101
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104
105
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107
101
102
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104
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1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
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260
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2100
Last modified: 2020-07-23T05:20:53+00:00