is 2 2287 - 1
has 689 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712,992.530682.0896 %10000000000656806176316290014,788.381832.5234 %27,780.912487.9146 %
Target2440.001072.7273 %500500000.00000.7940 %0.001072.9438 %
Difference+23+12,992.5296+9.3623 %+9999999500+6568061763112900+14,788.3818+31.7294%+27,780.9114+14.9708 %

Known prime factors (3 factors, 282.7 bits, 12.35958527% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22871534745442614649869692167.05733553682610726932
22 × 563 × 14899503823591
-5631489950382359122,24933.54662.655
228727922585656749698897372271.242610463175705065564
22 × 73 × 23 × 19345391548519
-34319345391548519409,28943.55681.351
22872872532711891641650885400214275453860715028944144.3656280132732600878117370791898284770137112
23 × 3617 × 1811663754315301 × 119798872725890419367
2011-12-1918116637543153011197988727258904193678.075e+13269,797,950503,775,225

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-08kkmrkkblmbrbkManual testing5000000005000000000012---43.107%
2022-08-30BloodIcesmallIron100000000006568061763162900
skipped known factor: 153474544261464986969
skipped known factor: 2792258565674969889737
--21,40470.655%
2022-10-03BloodIcesmallIron10000000000013332796697220--34.8256.384%
2022-11-09BloodIcesmallIron10000000000001005401155859100
skipped known factor: 153474544261464986969
skipped known factor: 2792258565674969889737
--3,33365.793%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-27H Michaelson10000000100000000027--0.003


Trial Factoring results:
5758596061626364656667
No TF results for M2287


ECM factoring results:
Total ECM effort:9,565.517 GHz-days
Estimated T-Level:57.920
DigitsB1CompleteFacMiss
201100040,968.0830.000%
255000015,593.9610.000%
302500005,375.8290.000%
3510000001,567.7410.000%
403000000394.9070.000%
451100000089.0400.000%
504400000018.1530.000%
551100000003.3843.393%
602600000000.58455.770%
658000000000.09491.030%
7024000000000.01298.779%


ECM Summary

B1B2factorcurvesGHz-days
11.727
1100000011000000003,13119.01
44000000440000000021,157558.6
1100000001100000000019,8361,298
2600000002600000000044,9766,954
850000000850000000001,454734.9


Lucas-Lehmer results:
No L-L results for M2287


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC0626CDFC63BECB__
2017-10-02kkmrkkblmbrbkManual testing
153474544261464986969
2792258565674969889737
28725327118916416508854002142754538607150289
0626CDFC63BECBE1
2017-12-07ATHManual testing
153474544261464986969
2792258565674969889737
28725327118916416508854002142754538607150289
0626CDFC63BECBE1
2020-04-17Oliver KruseIOS-1
153474544261464986969
2792258565674969889737
28725327118916416508854002142754538607150289
2CD2CEB03AA71E07
2024-02-03Wentao HuangManual testing
153474544261464986969
2792258565674969889737
28725327118916416508854002142754538607150289
2CD2CEB03AA71E07


CERT results:
No CERT results for M2287


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 6568061763162900 (P-1 stage 2)
B1 = 1000000000000, B2 = 1005401155859100 (P-1 stage 2)
B1 = 1000000000000 (P-1 stage 1)
B1 = 100000000000, B2 = 13332796697220 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 10000000000 (P-1 stage 1)
B1 = 500000000, B2 = 50000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=57.92 ~= 176-bit
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Last modified: 2024-03-13T02:15:48+00:00