is 2 2272321 - 1
has 684037 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L332B279501DA2BD1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26952.539668.1159 %970000049940763180260.279215.8534 %312.818873.1706 %
Target2620.270464.5161 %120009500000.00601.7081 %0.276465.1222 %
Difference+7+52.2692+3.5998 %+9688000+49939813180+260.2732+14.1453%+312.5424+8.0484 %

Known prime factors:
No known factors for M2272321

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-04-27ANONYMOUSv4_computers204820480012--0.0010.786%
2010-11-06JossManual testing1500015000--0.0010.584%
2010-11-13JossManual testing3000030000--0.0030.944%
2011-01-02markrtiny10500021525006--0.0214.850%
2014-09-15ANONYMOUSManual testing133246133246--0.0132.121%
2016-03-05JossManual testing27216048988806--0.0506.407%
2017-10-04JossManual testing54432054432006--0.0776.938%
2021-10-12NumberwangManual testing66000019800000--0.1718.889%
2022-11-24JossManual testing1000000571651080--3.50214.171%
2023-03-19JossManual testing10000001647746100--9.9015.706%
2023-07-09JossJoss10000003799936140--22.7016.901%
2023-08-21Sid & AndyMagic_8_Ball970000049940763180--305.723.577%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.068
2009-01-17Sturle Sundeagrell.ifi2602610.068
2012-05-06Sebastian HornbostelManual testing2612620.135
2013-01-23dbaughManual testing2622630.432
2015-03-10VictordeHollanderManual testing2632652.508
2015-10-31ramgeisManual testing2652663.289
2017-01-15Gordon SpenceManual testing2662676.577
2019-04-29TJAOIManual testing26726813.15
2021-06-17TJAOIManual testing26826926.31


ECM factoring results:
Total ECM effort:17.793 GHz-days
Estimated T-Level:23.680
DigitsB1CompleteFacMiss
20110007.9520.035%
25500000.73647.899%
302500000.04695.459%
3510000000.00299.783%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017715.08
50000515000070.609
500006750000141.397
50000700000070.702


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computers262E42EA33D3E6EC0.149
1999-07-27Stephen Woodv4_computers332B279501DA2BD10.149
2018-04-25gunhedNumber_1332B279501DA2BD10.149
2018-04-26kkmrkkblmbrbkold332B279501DA2BD10.149


PRP results:
No PRP results for M2272321


CERT results:
No CERT results for M2272321


P-1 factor-bounds graph:
B1 = 9700000, B2 = 49940763180 (P-1 stage 2)
B1 = 1000000, B2 = 3799936140 (P-1 stage 2)
B1 = 1000000, B2 = 1647746100 (P-1 stage 2)
B1 = 1000000, B2 = 571651080 (P-1 stage 2)
B1 = 9700000 (P-1 stage 1)
B1 = 660000, B2 = 19800000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 544320, B2 = 5443200 (P-1 stage 2)
B1 = 660000 (P-1 stage 1)
B1 = 544320 (P-1 stage 1)
B1 = 272160, B2 = 4898880 (P-1 stage 2)
B1 = 272160 (P-1 stage 1)
B1 = 105000, B2 = 2152500 (P-1 stage 2)
B1 = 133246 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
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109
1010
1011
TF factor-bounds graph:
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268
267
266
265
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=23.68 ~= 62-bit
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Last modified: 2024-03-13T02:15:48+00:00