is 2 29007941 - 1
has 8732261 decimal digits
takes 28.847 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA351EAA65E9619FAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275263.786766.6667%4150004150000.59841.0728%264.385167.0243%0.3576%
PrimeNet2660.509162.1212%13000050000000.57005.4244%1.079264.1759%2.0547%
GPU722708.237464.2857%22000065000000.81064.0589%9.048065.7353%1.4496%
Difference+5+255.5493+2.3810%+195000-6085000-0.2122-2.9861%+255.3371+1.2890%+1.2890%

Known prime factors (1 factor, 86.5 bits, 0.00029816% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
290079411087256674073208275217605592786.4911874067301214533419
3 × 601 × 3209 × 72277 × 4481461
2021-11-20722774481461944,7320.45060.6576

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-07-10T00:00:00bradmtlv4_computers415000415000---0.598--1.073%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-20T03:23:53ATH5960X10000002800000027P-12786.4914.271


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-01-21T00:00:00Jocelyn Larouchev4_computers21252--2.06827e-5--
2001-01-21T00:00:00Jocelyn Larouchev4_computers21256--0.000--
2006-07-10T00:00:00bradmtlv4_computers21268--2.055--
2011-08-11T11:07:00monstManual testing268269--2.061--
2017-02-11T19:32:12ramgeisManual testing269270--4.122--
2020-08-05T00:45:03Sid & AndyManual testing270271--8.244--
2020-08-05T00:45:03Sid & AndyManual testing271272--16.49--
2021-01-04T02:40:07Sid & AndyManual testing272273--32.97--
2021-09-10T19:22:47TheJudgerManual testing273274--65.95--
2021-10-06T17:02:39TheJudgerManual testing274275--131.9--


ECM factoring results:
No ECM results for M29007941


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-07-10T00:00:00bradmtlv4_computers10CE98C298CCEE__28.85
2012-01-18T11:59:00ANONYMOUSv4_computersA351EAA65E9619FA28.85
2012-07-02T18:16:00GrunwalderGIMPcompute-0-0A351EAA65E9619FA28.85


PRP results:
No PRP results for M29007941


P-1 factor-bounds graph:
B1 = 1000000, B2 = 28000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 415000 (P-1 stage 1)
103
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106
103
104
105
106
107
108
TF factor-bounds graph:
275
274
273
272
271
270
269
268
256
252
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270
280
290
2100
Last modified: 2021-11-20T03:23:53+00:00