is 2 29834263 - 1
has 8981009 decimal digits
takes 31.077 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L972B9F3E10812ABCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275256.480666.6667%1750000101316852085.87457.4641%342.355169.1547%2.4880%
PrimeNet2670.996062.6866%13000050000000.59714.9044%1.593164.5166%1.8300%
GPU7227116.024564.7887%20000060000000.77943.5572%16.803866.0413%1.2525%
Difference+4+240.4561+1.8779%+1550000+1007168520+85.0952+3.9069%+325.5513+3.1134%+1.2355%

Known prime factors (1 factor, 130.8 bits, 0.00043834% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29834263232976624859529401252127168368174168694340130.77539045144983056796350579729147017
3 × 37 × 103 × 419 × 1429 × 1709 × 4271 × 1716313 × 455294557
2022-01-0317163134552945575.028e+939.91869.978

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-05-28T00:00:00ANONYMOUSv4_computers3150003465000---0.735--2.187%
2022-01-02T23:04:33Oliver KruseManual testing1750000101316852040130.77585.8762.15171.77.464%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-10T12:27:42Oliver KruseIOS-5100000500000027--0.596


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-16T00:00:00Net_Forcev4_computers21256--0.000--
2002-03-16T00:00:00Jocelyn Larouchev4_computers21257--0.001--
2005-03-20T00:00:001997rj7v4_computers21262--0.021--
2005-05-28T00:00:00ANONYMOUSv4_computers21268--1.998--
2012-02-14T23:53:00XyzzyManual testing268269--2.004--
2012-02-23T14:18:00bcp19Manual testing269270--4.008--
2018-08-22T12:05:07monstManual testing270271--8.015--
2021-04-01T16:45:07Sid & AndyManual testing271272--16.03--
2021-07-15T10:40:07Sid & AndyManual testing272273--32.06--
2021-09-10T19:36:38TheJudgerManual testing273274--64.12--
2021-10-04T17:50:59TheJudgerManual testing274275--128.2--


ECM factoring results:
No ECM results for M29834263


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-06-19T00:00:00ANONYMOUSv4_computers972B9F3E10812ABC31.08
2012-07-03T13:29:00jingfiredLor972B9F3E10812ABC31.08


PRP results:
No PRP results for M29834263


P-1 factor-bounds graph:
B1 = 1750000, B2 = 1013168520 (P-1 stage 2)
B1 = 1750000 (P-1 stage 1)
B1 = 315000, B2 = 3465000 (P-1 stage 2)
B1 = 315000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
1010
TF factor-bounds graph:
275
274
273
272
271
270
269
268
262
257
256
250
260
270
280
290
2100
2110
2120
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Last modified: 2022-01-03T14:53:22+00:00