is 2 2221 - 1
has 669 decimal digits
takes 0.000 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
Actualunknown500000000500000000000.132150.9974%0.132150.9974%50.9974%
PrimeNet2400.000170.0000%500100000.00002.0155%0.000170.6046%0.6046%
GPU722440.001172.7273%500100000.00000.7865%0.001172.9418%0.2145%
Difference-44-0.0011-72.7273%+499999500+49999990000+0.1321+50.2109%+0.1311-21.9444%-21.9444%

Known prime factors (2 factors, 239.1 bits, 10.76458336% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
222185424226320356311549822344892892.7871923102798747328040293164
22 × 3 × 7 × 3149983 × 7268001426505537
-314998372680014265055377.472e+1116,36430,563
222110941848214579036483504580246126340698090462345146.29524632706471362081232563215322211482886291
3 × 1787 × 21844937 × 4293458713 × 48990089963958734051
2012-05-204293458713489900899639587340516.150e+13110,301,188206,011,902

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
222193469891824518624298968972354047755519653208190946
3028531712827130142647
72239.081
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-09T03:03:23kkmrkkblmbrbkManual testing5000000005000000000012---0.132--43.055%


Trial Factoring results:
No TF results for M2221


ECM factoring results:

Old Calculation Method

Total ECM effort:9,008.380 GHz-days
Estimated T-Level:57.206
DigitsB1CurvesCompleteFacMiss
201100070523 / 100705.2300.000%
255000070523 / 280251.8680.000%
3025000070523 / 640110.1920.000%
35100000070523 / 156645.0340.000%
40300000070523 / 458815.3710.000%
451100000070523 / 92017.6650.047%
504400000066767 / 165504.0341.770%
5511000000065864 / 408301.61319.926%
6026000000046488 / 1053620.44164.325%
658000000001440 / 1942380.00799.261%

New Calculation Method

Total ECM effort:9,008.380 GHz-days
Estimated T-Level:57.206
DigitsB1CompleteFacMiss
201100034,172.0000.000%
255000013,053.2630.000%
302500004,557.7450.000%
3510000001,368.0290.000%
403000000352.5740.000%
451100000081.1470.000%
504400000016.8570.000%
551100000003.1904.118%
602600000000.55857.252%
658000000000.09191.332%
7024000000000.01298.779%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
1100000011000000003,75624.57
44000000440000000090323.63
1100000001100000000019,3761,267
2600000002600000000045,0486,965
850000000850000000001,440727.9


Lucas-Lehmer results:
No L-L results for M2221


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:24:35Oliver KruseOliver-PC799AABF989313C__?
2017-09-21T19:20:57Oliver KruseManual testing799AABF989313C__?
2017-10-02T09:51:28kkmrkkblmbrbkManual testing
8542422632035631154982234489
109418482145790364835045802461263406980904623
799AABF989313C__no
2017-12-07T02:41:15ATHManual testing
8542422632035631154982234489
109418482145790364835045802461263406980904623
799AABF989313C__no
2020-04-17T12:31:06Oliver KruseIOS-1
8542422632035631154982234489
109418482145790364835045802461263406980904623
D52DA14E559C65__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 50000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-17T12:31:06+00:00