is 2 29726369 - 1
has 8948529 decimal digits
takes 30.965 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCC7F9ACDCAF581D8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual275257.411566.6667%1030000514950005.70864.5232%263.120168.1744%
Target27116.082664.7887%20000060000000.77943.5554%16.862066.0406%
Difference+4+241.3288+1.8779%+830000+45495000+4.9292+0.9678%+246.2580+2.1338%

Known prime factors (1 factor, 152.5 bits, 0.00051295% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29726369796653843550049414198394940425547746812563859346152.481133997839350989926519178131110723234784
25 × 7 × 1619 × 67943 × 69539 × 118669 × 402487 × 553073 × 2960453
2021-10-1655307329604534.685e+91.03351.7001

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-05-28curtiscv4_computers425000425000---0.642--1.090%
2021-10-16Architects Cubedusbenv10300005149500046152.4815.70961.9311.424.523%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-01-14Jocelyn Larouchev4_computers21252--2.01828e-5--
2001-09-16Net_Forcev4_computers21256--0.000--
2005-05-12ANONYMOUSv4_computers21268--2.005--
2012-02-07XyzzyManual testing268269--2.011--
2012-02-25Jerry HallettManual testing269270--4.022--
2018-06-20monstManual testing270271--8.044--
2021-08-22TheJudgerManual testing271272--16.09--
2021-08-25TheJudgerManual testing272273--32.18--
2021-09-10TheJudgerManual testing273274--64.35--
2021-10-04TheJudgerManual testing274275--128.7--


ECM factoring results:
Total ECM effort:14.256 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
500005000000914.26


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-06-19curtiscv4_computersCC7F9ACDCAF581D830.96
2013-06-05markrtheboxCC7F9ACDCAF581D830.96


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-16DobriGameOn
7966538435500494141983949404255477468125638593
EACA09EFF59CDDFEno


P-1 factor-bounds graph:
B1 = 1030000, B2 = 51495000 (P-1 stage 2)
B1 = 1030000 (P-1 stage 1)
B1 = 425000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
TF factor-bounds graph:
275
274
273
272
271
270
269
268
256
252
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
Last modified: 2023-01-16T06:28:24+00:00