is 2 5018863 - 1
has 1510829 decimal digits
takes 0.696 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L896C6C4E890EFBB7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2763,049.295069.7368%36000001200000001.99824.5383%3,051.293271.1103%
Target2651.453764.6154%3400056000000.06782.4175%1.521465.4708%
Difference+11+3,047.8414+5.1215%+3566000+114400000+1.9304+2.1208%+3,049.7718+5.6395%

Known prime factors (1 factor, 92.2 bits, 0.00183756% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
501886357860827447235002455383546392892.225576433620993788856713
576433620993788856713		2021-10-161576433620993788856713264,421,5356.312e+121.179e+13

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-09-15ANONYMOUSv4_computers2000020000---0.004--0.073%
2001-02-04ANONYMOUSv4_computers20000145000---0.005--0.240%
2009-08-07harleeP4_260055000907500---0.020--0.663%
2012-10-10James Heinrichi7-920650001235000---0.026--0.765%
2013-05-12Squeeky_SquirrelP4_26001600003440000---0.068--1.299%
2018-08-29mikrMSI360000012000000012---1.998--4.538%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-16ATH5960X25000008500000027P+12892.2251.649


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23Mark RoseManual testing21263--0.318--
2012-06-27dbaughManual testing263264--0.391--
2012-07-07dbaughManual testing264265--0.744--
2012-07-14dbaughManual testing265266--1.489--
2012-07-20dbaughManual testing266267--2.978--
2012-08-06ANONYMOUSManual testing267268--5.956--
2012-08-12dbaughManual testing268269--11.91--
2012-09-21dbaughManual testing269270--23.82--
2012-11-19dbaughManual testing270271--47.65--
2013-02-23dbaughManual testing271272--95.29--
2013-04-30dbaughManual testing272273--190.6--
2013-09-09dbaughManual testing273274--381.2--
2013-10-08dbaughManual testing274275--762.3--
2014-07-06dbaughManual testing275276--1,525--


ECM factoring results:
Total ECM effort:5.506 GHz-days
Estimated T-Level:3.250
DigitsB1CompleteFacMiss
20110000.65052.205%
25500000.06194.105%
302500000.00499.615%


ECM Summary

B1B2factorcurvesGHz-days
500005000000132.740
500003891478532.766


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01David Baugh896C6C4E890EFBB70.696
2001-03-05ANONYMOUSv4_computers896C6C4E890EFBB70.696


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-17ATHec2-PRPCFDC
5786082744723500245538354639
A74E9CDF6BE01C42no


P-1 factor-bounds graph:
B1 = 3600000, B2 = 120000000 (P-1 stage 2)
B1 = 2500000, B2 = 85000000 (P+1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 2500000 (P+1 stage 1)
B1 = 160000, B2 = 3440000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 65000, B2 = 1235000 (P-1 stage 2)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 20000, B2 = 145000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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109
1010
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1016
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1020
1021
TF factor-bounds graph:
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275
274
273
272
271
270
269
268
267
266
265
264
263
this exponent TF target: 65
TF double-checked to: 67.9
ECM T-Level=3.25 ~= -6-bit
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Last modified: 2023-07-11T14:45:05+00:00