is 2 499897 - 1
has 150484 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEE4BB3A010161991double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268119.234372.0588%10000002498000505023.258711.4112%142.493075.2473%
Target2440.000056.8182%900014000000.001414.3562%0.001563.0174%
Difference+24+119.2343+15.2406%+991000+24978605050+23.2572-2.9450%+142.4915+12.2298%

Known prime factors (1 factor, 95.8 bits, 0.01916762% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
499897698562563077211801689304535432995.81869870649661551459769643
34 × 7 × 30119 × 4091392775825291
2022-12-173011940913927758252911.919e+103,806,8147,110,068

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22ANONYMOUSv4_computers2000200000---0.000--0.142%
2001-12-22ANONYMOUSv4_computers500001000000---0.002--1.318%
2002-06-29ANONYMOUSv4_computers327683276800---0.004--1.532%
2002-09-29ANONYMOUSv4_computers655366553600---0.007--2.203%
2003-05-04ANONYMOUSv4_computers13107213107200---0.014--3.002%
2010-12-22Rob_Deetwopc5000001000000---0.009--1.932%
2010-12-23Rob_Deetwopc10000002000000---0.018--2.538%
2012-07-04alpertronManual testing10000000200000000---0.348--8.149%
2022-11-21Jocelyn LaroucheManual testing100000024980005050---23.26--11.411%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-12-11masserManual testing4000000960000008431--0.188
2022-12-17masserManual testing8000000800000065P+12995.8180.208
2022-12-17masserManual testing1600000049600000027--0.853


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-05-05ANONYMOUSv4_computers21254--0.005--
2022-03-07LordJuliusManual testing254255--0.005--
2001-04-01ANONYMOUSv4_computers21256--0.019--
2002-01-15ANONYMOUSv4_computers21257--0.038--
2003-12-13ANONYMOUSv4_computers21258--0.077--
2016-02-23Mark RoseManual testing258260--0.230--
2011-07-31Sid & AndyBuzz260261--0.307--
2015-06-22snme2pm1Manual testing261262--0.614--
2015-11-06Gordon SpenceManual testing262263--1.964--
2015-11-06Gordon SpenceManual testing263264--3.927--
2017-11-30BloodERazorManual testing264265--7.474--
2018-06-14BloodERazorManual testing265266--14.95--
2021-08-11YxinityManual testing266267--29.90--
2022-05-20Gordon SpenceManual testing267268--59.79--


ECM factoring results:
Total ECM effort:27.068 GHz-days
Estimated T-Level:28.125
DigitsB1CompleteFacMiss
201100043.7030.000%
25500006.0920.226%
302500000.62553.529%
3510000000.05195.073%
4030000000.00399.666%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002833.669
2500002500000036123.40


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Mischa KennEE4BB3A0101619910.006


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-17masserManual testing
69856256307721180168930453543
7D020482ABCEE914no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 24980005050 (P-1 stage 2)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 8000000 (P+1 stage 1)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
102
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104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=28.12 ~= 77-bit
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Last modified: 2023-10-02T12:12:48+00:00