is 2 29033219 - 1
has 8739870 decimal digits
takes 28.872 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB458D30EEB063FBDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275263.557066.6667%360000106200001.32512.8744%264.882267.6248%0.9581%
PrimeNet2660.508762.1212%13000050000000.57005.4250%1.078764.1761%2.0549%
GPU722708.230264.2857%22000065000000.81064.0593%9.040865.7355%1.4498%
Difference+5+255.3268+2.3810%+140000+4120000+0.5145-1.1849%+255.8413+1.8893%+1.8893%

Known prime factors (1 factor, 80.3 bits, 0.00027673% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2903321915326358122112184230248172580.34226394520914322632
23 × 34 × 172 × 8293 × 16995317
2021-12-3082931699531716,0141.34652.4937

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-15T00:00:00ANONYMOUSv4_computers36000010620000---1.325--2.874%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-30T14:45:09ATHec2-P_110000002600000027P-12580.3424.117


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-01-21T00:00:00Jocelyn Larouchev4_computers21256--0.000--
2006-01-15T00:00:00ANONYMOUSv4_computers21266--0.509--
2010-05-17T14:04:00GrunwalderGIMPGWPrime02266267--0.515--
2010-05-17T21:58:00GrunwalderGIMPGWPrime02267268--1.030--
2012-01-07T14:23:00bcp19Manual testing268269--2.059--
2017-02-14T01:08:34ramgeisManual testing269270--4.118--
2020-08-22T00:45:13Sid & AndyManual testing270271--8.236--
2020-08-22T00:45:13Sid & AndyManual testing271272--16.47--
2021-01-07T18:40:10Sid & AndyManual testing272273--32.95--
2021-09-10T19:26:51TheJudgerManual testing273274--65.89--
2021-10-06T17:03:24TheJudgerManual testing274275--131.8--


ECM factoring results:
No ECM results for M29033219


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-03-01T00:00:00ANONYMOUSv4_computersB458D30EEB063FBD28.87
2012-04-12T20:49:00Ton van der WoudenleidenB458D30EEB063FBD28.87


PRP results:
No PRP results for M29033219


P-1 factor-bounds graph:
B1 = 1000000, B2 = 26000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 360000, B2 = 10620000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
275
274
273
272
271
270
269
268
267
266
256
250
260
270
280
290
2100
Last modified: 2021-12-30T14:45:09+00:00