is 2 1622081 - 1
has 488296 decimal digits
takes 0.072 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA8F17CB5342E99F1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26718.318468.6567 %500000150000000.08354.9954 %18.401970.2224 %
Target2610.189465.5738 %65003000000.00151.0596 %0.190865.9385 %
Difference+6+18.1290+3.0829 %+493500+14700000+0.0821+3.9358%+18.2111+4.2839 %

Known prime factors (4 factors, 253.5 bits, 0.01563047% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1622081169283693981548071753.9105218102363
35863 × 145501
2012-06-28358631455010.00070.00270.0047
162208124759507200027531991961.103763201936279
673 × 1321 × 858463
2008-04-2213218584630.18940.00310.0057
16220813376731337498567204792168.194104086396964719
13 × 59 × 1051 × 1877 × 68791
2015-04-2918776879136.7460.00040.0005
162208114857424742931687506412270.332457974193117720
23 × 5 × 107 × 107003316149
2019-10-07107107003316149147.31377.58705.21

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-04-30alpertronManual testing500000150000001222168.1940.0848.750%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2012-06-28ANONYMOUSManual testing??53.910170.001
2003-07-06ANONYMOUSv4_computers212580.024


ECM factoring results:
Total ECM effort:31.398 GHz-days
Estimated T-Level:25.717
DigitsB1CompleteFacMiss
201100014.6150.000%
25500001.67118.807%
302500000.14386.643%
3510000000.01099.006%


ECM Summary

B1B2factorcurvesGHz-days
10.042
5000050000001397.804
5000050000001116.232
250000400000005017.32


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06Bruce A Metcalfv4_computersA8F17CB5342E99F10.072


PRP results:
dateuseridcompidcofactorsres64
2017-10-02Oliver KruseGTX-1
2475950720002753199
16928369398154807
337673133749856720479
6C7CCF5639663176
2017-10-05Oliver KruseManual testing
2475950720002753199
16928369398154807
337673133749856720479
6C7CCF5639663176
2017-11-10kkmrkkblmbrbkc4.xlarge
16928369398154807
2475950720002753199
337673133749856720479
6C7CCF5639663176
2019-10-08treborLaptop
16928369398154807
2475950720002753199
337673133749856720479
1485742474293168750641
6594C85BDAFF9E9D
2019-10-09marssystemssystem11
16928369398154807
2475950720002753199
337673133749856720479
1485742474293168750641
6594C85BDAFF9E9D


CERT results:
No CERT results for M1622081


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
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280
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Last modified: 2024-02-09T03:30:02+00:00