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
0 primality tests remaining
ResidueStatus
L-LCC7F9ACDCAF581D8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275257.411566.6667%1030000514950005.70864.5232%263.120168.1744%1.5077%
PrimeNet2670.999662.6866%13000050000000.59714.9020%1.596764.5157%1.8291%
GPU7227116.082664.7887%20000060000000.77943.5554%16.862066.0406%1.2519%
Difference+4+241.3288+1.8779%+830000+45495000+4.9292+0.9678%+246.2580+2.1338%+0.2558%

Known prime factors (1 factor, 152.5 bits, 0.00051295% known):
Remaining cofactor is PRP status unknown

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
2005-05-28T00:00:00curtiscv4_computers425000425000---0.642--1.090%
2021-10-16T17:15:15Architects Cubedusbenv10300005149500046152.4815.70961.9311.424.523%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-01-14T00:00:00Jocelyn Larouchev4_computers21252--2.01828e-5--
2001-09-16T00:00:00Net_Forcev4_computers21256--0.000--
2005-05-12T00:00:00ANONYMOUSv4_computers21268--2.005--
2012-02-07T02:31:00XyzzyManual testing268269--2.011--
2012-02-25T22:45:00Jerry HallettManual testing269270--4.022--
2018-06-20T17:20:07monstManual testing270271--8.044--
2021-08-22T11:16:11TheJudgerManual testing271272--16.09--
2021-08-25T16:04:14TheJudgerManual testing272273--32.18--
2021-09-10T19:20:38TheJudgerManual testing273274--64.35--
2021-10-04T17:27:54TheJudgerManual testing274275--128.7--


ECM factoring results:
No ECM results for M29726369


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-06-19T00:00:00curtiscv4_computersCC7F9ACDCAF581D830.96
2013-06-05T17:50:00markrtheboxCC7F9ACDCAF581D830.96


PRP results:
No PRP results for M29726369


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
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107
104
105
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108
TF factor-bounds graph:
275
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273
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268
256
252
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2100
2110
2120
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Last modified: 2021-10-16T22:27:36+00:00