is 2 802969 - 1
has 241718 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L27B978CA3B6005F5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26737.005170.1493 %100000008300000001.583411.1511 %38.588573.4779 %
Target2440.000054.5455 %1300025000000.004317.1256 %0.004362.3298 %
Difference+23+37.0051+15.6038 %+9987000+827500000+1.5791-5.9745 %+38.5842+11.1481 %

Known prime factors (1 factor, 75.1 bits, 0.00935052% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
802969399819831716734274179612375.08224896342929598420
22 × 5 × 7 × 105467 × 1686129509
2014-01-2510546716861295099,529.52.66334.9689

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.931%
2002-02-10ANONYMOUSv4_computers4096409600--0.00114.843%
2002-03-31ANONYMOUSv4_computers8192819200--0.00217.633%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.387%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00623.098%
2002-11-16ANONYMOUSv4_computers65537655370012--0.01225.758%
2003-07-06ANONYMOUSv4_computers1310721310720012--0.02428.361%
2012-08-01JossManual testing16059381605938--0.04721.801%
2013-11-01David Campeaui5-2500k16450005593000012--0.13334.097%
2016-03-17alpertronManual testing3000001000000012---28.240%
2021-09-13gLaussManual testing10000000830000000--1.58342.563%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-13gLaussManual testing500000036500000027--0.777


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-07-17ANONYMOUSv4_computers212550.006
2000-12-21ANONYMOUSv4_computers212560.012
2001-09-30ANONYMOUSv4_computers212570.024
2003-08-25ANONYMOUSv4_computers212580.048
2008-10-12Sturle Sundescarpia.ifi2582590.048
2008-10-12Sturle Sundescarpia.ifi2592600.096
2010-05-23Architects Cubeda3_bu22602610.191


ECM factoring results:
Total ECM effort:11.340 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.046
5000050000002796.267
25000025000000445.027


Lucas-Lehmer results:
No L-L results for M802969


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
39981983171673427417961
C12788E75AA23FD1
2017-10-13Oliver KruseThreadripper-PC
39981983171673427417961
C12788E75AA23FD1
2017-12-17ATHec2-1xh
39981983171673427417961
C12788E75AA23FD1
2020-04-21Oliver KruseAddPrpType5
39981983171673427417961
B3CAB15B5678664C


CERT results:
No CERT results for M802969


P-1 factor-bounds graph:
B1 = 10000000, B2 = 830000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1645000, B2 = 55930000 (P-1 stage 2)
B1 = 1645000 (P-1 stage 1)
B1 = 1605938 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-03T02:29:32+00:00