is 2 2687983 - 1
has 809164 decimal digits
takes 0.208 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.174667.6471%2000000600000000.57797.0812%22.752569.9380%2.2910%
PrimeNet2590.028662.7119%120002200000.00262.8407%0.031263.7711%1.0593%
GPU722630.593865.0794%130002200000.00271.6232%0.596565.6462%0.5668%
Difference+5+21.5808+2.5677%+1987000+59780000+0.5752+5.4579%+22.1560+4.2918%+1.7241%

Known prime factors (4 factors, 196.4 bits, 0.00730714% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2687983128378068091133.5802388
22 × 3 × 199
-41996.458e-101.638e-62.273e-6
2687983391370324811135.1887280
24 × 5 × 7 × 13
2008-09-0716162.683e-91.792e-63.647e-6
268798312732315691863936711960.143236837727245
5 × 72 × 379 × 2550619
2016-01-1437925506190.07580.01560.0291
26879832092745567987768396412167.50438927805123540
22 × 3 × 5 × 17 × 38164514827
2022-09-22173816451482721.308232.87434.93

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
26879835024336620686359631292168.767
2687983163455009083348392597183058392993.723
2687983498305052790824878451798277512995.331
2687983268662633022179455481473091556931101.084
2687983819038512688060855410034537932131102.692
268798326645497234369370570559385017946431211139127.647
268798363971439996771560773150933053123495655939128.911
268798310514658195020020542589305877989882159668942136.271
2687983342069745824577774331771487922245281799109696379949161.227
26879831042825690733909725571508153786754246226852867739150162.835
268798313387594753103914482133228793082612796220754304102
1944155319
60196.415
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-07-04T12:48:44alpertronManual testing20000006000000012-
skipped known factor: 12837806809
skipped known factor: 39137032481
skipped known factor: 1273231569186393671
--0.578--7.081%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-07T19:40:00Will EdgingtonManual testing??35.188119.80453e-100.4502.12612e-9
2016-01-14T12:53:41TJAOIManual testing260261*60.143190.0190.4220.038
2022-09-25T22:56:45JayderManual testing261262--0.114--
2022-09-25T03:12:59LordJuliusManual testing2126260.143190.0760.4220.154
2022-09-25T03:12:59LordJuliusManual testing2126233.580116.45772e-100.4501.40036e-9
2022-09-25T03:12:59LordJuliusManual testing2126235.188112.68334e-90.4505.81885e-9
2022-09-25T22:56:45JayderManual testing262263--0.365--
2022-09-25T03:12:59LordJuliusManual testing262263--0.365--
2022-09-25T22:56:45JayderManual testing263264--0.730--
2022-09-25T03:12:59LordJuliusManual testing263264--0.730--
2022-09-25T22:56:45JayderManual testing264265--1.390--
2022-09-25T03:12:59LordJuliusManual testing264265--1.390--
2022-09-25T22:56:45JayderManual testing265266--2.780--
2022-09-25T03:12:59LordJuliusManual testing265266--2.780--
2022-09-25T22:56:45JayderManual testing266267--5.560--
2022-09-25T03:12:59LordJuliusManual testing266267--5.560--
2022-09-22T09:42:09TJAOIManual testing267268*67.5042110.250.42220.82
2022-09-25T03:12:59LordJuliusManual testing26726867.5042110.250.42220.82


ECM factoring results:
Total ECM effort:0.311 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.311


Lucas-Lehmer results:
No L-L results for M2687983


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:33:13alpertronManual testing
12837806809
39137032481
1273231569186393671
B8B4C39F7A5F93__no
2017-11-15T04:19:54Oliver KruseThreadripper
12837806809
39137032481
1273231569186393671
B8B4C39F7A5F93__no
2022-09-28T05:11:24LordJuliusWhiteBox
12837806809
39137032481
1273231569186393671
209274556798776839641
702D6B689ABE9602no
2022-09-28T11:11:20LordJuliusi79700_Para
12837806809
39137032481
1273231569186393671
209274556798776839641
702D6B689ABE9602no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
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109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
2
230
240
250
260
270
280
290
2100
Last modified: 2022-09-28T11:11:20+00:00