is 2 1656647 - 1
has 498701 decimal digits
takes 0.078 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L72A9790D5E6C8AA0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.936268.6567%500000150000000.08805.0081%18.024270.2264%1.5697%
PrimeNet2570.011663.1579%70001200000.00092.5655%0.012564.1031%0.9452%
GPU722610.185465.5738%7000700000.00071.1521%0.186165.9704%0.3966%
Difference+6+17.7508+3.0829%+493000+14930000+0.0873+3.8560%+17.8381+4.2560%+4.2560%

Known prime factors (3 factors, 213.7 bits, 0.01289856% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1656647143813177615111036332063.6414340489483128
23 × 617 × 6553 × 134191
2004-02-0765531341911.10910.00090.0009
165664791717741447285840662732272.9582768173951580688
24 × 3 × 7 × 8238612951133
2019-11-25168238612951133860.7130,63157,210
16566471602911428893762670908012477.08548378182826328200
23 × 32 × 52 × 26876768236849
2019-02-05252687676823684934,79399,926186,634

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
165664713190219841215349764309974308997104306980942136.599
1656647230519786024790115359329854823064773198003343140.726
1656647147015415998177627146453494293906150469265467346150.043
165664721142754133105355661378022922633364798099461527713
409504784727009
65213.684
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:17:59alpertronManual testing5000001500000012-
skipped known factor: 14381317761511103633
--0.088--5.008%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2004-02-07T00:00:00markrv4_computers??63.641200.1460.1580.296
1998-01-21T00:00:00ANONYMOUSv4_computers21256--0.006--
1998-11-07T00:00:00ANONYMOUSv4_computers21257--0.012--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.880 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.880 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
500005000000653.853
50000500000018310.85
50000500000030.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-14T00:00:00ANONYMOUSv4_computers72A9790D5E6C8AA00.078


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T19:53:55Oliver KruseGTX-1
14381317761511103633
873039A1CB121E__no
2017-11-02T17:01:57kkmrkkblmbrbkold
14381317761511103633
873039A1CB121E__no
2019-02-06T18:28:42Julian112zapserver1
14381317761511103633
160291142889376267090801
98B06A4AA5BE8B08no
2019-02-07T11:41:37RuzovejMasa_notebook
14381317761511103633
160291142889376267090801
98B06A4AA5BE8B08no
2019-11-25T15:48:22ATHec2-PRPCF
14381317761511103633
9171774144728584066273
160291142889376267090801
98B06A4AA5BE8B08no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
267
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2
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Last modified: 2019-11-25T22:31:00+00:00