is 2 29027293 - 1
has 8738086 decimal digits
takes 28.866 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC975B5B37F364CEDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275263.610866.6667%28500026362500.59571.9994%264.206567.3331%0.6665%
PrimeNet2660.508862.1212%13000050000000.57005.4249%1.078864.1761%2.0549%
GPU722708.231964.2857%22000065000000.81064.0592%9.042565.7354%1.4497%
Difference+5+255.3789+2.3810%+65000-3863750-0.2149-2.0598%+255.1640+1.5977%+1.5977%

Known prime factors (1 factor, 75.1 bits, 0.00025887% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29027293417002917400115393695032375.142718294533010907
13723 × 52342383809
2021-12-121372352342383809321.074,112.17,680.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-03-20T00:00:00ANONYMOUSv4_computers2850002636250---0.596--1.999%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-12T11:58:43ATH5960X10000002800000027P+12375.1424.271


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-01-21T00:00:00Jocelyn Larouchev4_computers21256--0.000--
2005-03-20T00:00:00ANONYMOUSv4_computers21268--2.053--
2012-02-24T15:58:00LaurVManual testing268269--2.060--
2012-02-29T10:08:00bcp19Manual testing269270--4.119--
2020-08-17T07:16:04Sid & AndyGPU72_TF270271--8.238--
2020-08-18T16:05:01Sid & AndyGPU72_TF271272--16.48--
2021-01-06T22:40:08Sid & AndyManual testing272273--32.95--
2021-09-10T19:51:46TheJudgerManual testing273274--65.90--
2021-10-06T17:00:10TheJudgerManual testing274275--131.8--


ECM factoring results:
No ECM results for M29027293


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-04-02T00:00:00ANONYMOUSv4_computersC975B5B37F364CED28.87
2012-08-20T14:28:00RMAC9.5M-DefrancisC975B5B37F364CED28.87


PRP results:
No PRP results for M29027293


P-1 factor-bounds graph:
B1 = 1000000, B2 = 28000000 (P+1 stage 2)
B1 = 1000000 (P+1 stage 1)
B1 = 285000, B2 = 2636250 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
103
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1010
1011
TF factor-bounds graph:
275
274
273
272
271
270
269
268
256
250
260
270
280
290
2100
Last modified: 2021-12-12T11:58:43+00:00