is 2 2102249 - 1
has 632841 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB75342300AE06C0Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.134367.1642%25000001250000000.87468.5668%15.009069.9772%2.8130%
PrimeNet2580.018362.0690%90001600000.00162.6783%0.019963.0849%1.0159%
GPU722620.292264.5161%100001400000.00161.4516%0.293965.0312%0.5151%
Difference+5+13.8421+2.6481%+2490000+124860000+0.8730+7.1152%+14.7151+4.9459%+4.9459%

Known prime factors (1 factor, 94.3 bits, 0.00448557% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2102249243501311611649163681941867832994.2985791447911537814114359
32 × 359 × 42499091 × 42176501779
2017-08-2442499091421765017792.990e+9222.91409.17

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-08-01T16:22:00harleeP4_260020000260000---0.003--1.021%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.415%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.596%
2011-01-24T07:02:00James HeinrichQ66001400002975000---0.028--3.091%
2016-07-11T14:48:31Jocelyn LaroucheManual testing186340595000012---0.048--3.758%
2016-11-07T03:11:24Jocelyn Larouchelow 4M223608223608---0.021--1.411%
2016-11-11T16:54:51Jocelyn Larouchelow 4M268329268329---0.026--1.541%
2017-05-31T03:38:54Jocelyn Larouchelow 4M37268037268006---0.053--3.730%
2017-06-10T03:57:31Jocelyn Larouchelow 4M44721644721606---0.064--3.968%
2017-06-26T21:14:18mikrMSI250000012500000012---0.875--8.567%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:05Mark RoseManual testing21260--0.073--
2009-01-02T20:47:00Sturle Sundevancraft.ifi260261--0.073--
2012-03-28T05:48:00Sebastian HornbostelManual testing261262--0.146--
2013-09-04T10:21:00ramgeisManual testing262263--0.467--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.934--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.777--
2015-12-23T09:51:18ramgeisManual testing265266--3.555--
2016-10-01T21:16:25Gordon SpenceManual testing266267--7.109--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.723 GHz-days
Estimated T-Level:1.600
DigitsB1CurvesCompleteFacMiss
201100032 / 1000.32072.498%
255000032 / 2800.11489.182%

New Calculation Method

Total ECM effort:2.723 GHz-days
Estimated T-Level:1.600
DigitsB1CompleteFacMiss
20110001.03235.620%
25500000.09391.093%
302500000.00699.427%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.553
50000500000020.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersB75342300AE06C0D0.138


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T00:56:37Oliver KruseGTX-2
24350131161164916368194186783
ED5F7BB8F77D8A__no
2017-11-17T04:32:06kkmrkkblmbrbkc4.xlarge
24350131161164916368194186783
ED5F7BB8F77D8A__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 447216, B2 = 4472160 (P-1 stage 2)
B1 = 372680, B2 = 3726800 (P-1 stage 2)
B1 = 186340, B2 = 5950000 (P-1 stage 2)
B1 = 447216 (P-1 stage 1)
B1 = 372680 (P-1 stage 1)
B1 = 140000, B2 = 2975000 (P-1 stage 2)
B1 = 268329 (P-1 stage 1)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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1010
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TF factor-bounds graph:
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Last modified: 2017-11-17T04:32:06+00:00