is 2 31029827 - 1
has 9340909 decimal digits
takes 34.154 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1BCB01B09FD6EE3Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27230.819865.2778%34500043125000.89563.2389%31.715466.4024%1.1246%
PrimeNet2670.957662.6866%14000050000000.64604.9827%1.603664.5458%1.8592%
GPU7227115.407164.7887%22000065000000.89723.6891%16.304366.0877%1.2990%
Difference+1+15.4128+0.4890%+125000-2187500-0.0016-0.4502%+15.4112+0.3147%+0.3147%

Known prime factors (1 factor, 78.6 bits, 0.00025343% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
310298274702974434899714200740412478.6387578151233166260
22 × 32 × 5 × 232 × 31 × 293 × 8762051
2021-09-2352987620512,587.70.76271.4230

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-15T00:00:00ANONYMOUSv4_computers3450004312500---0.896--3.239%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-23T05:38:30ATH5960X3000001230000027P-12478.6381.657


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00Net_Forcev4_computers21256--0.000--
2005-09-03T00:00:00ANONYMOUSv4_computers21267--0.958--
2011-05-24T20:23:00UngelovendeManual testing267268--0.963--
2012-05-08T09:41:00bcp19Manual testing268269--1.927--
2013-03-27T20:45:00bcp19Manual testing269270--3.853--
2019-01-01T21:16:14ramgeisManual testing270271--7.706--
2019-06-25T10:18:08LaurVManual testing271272--15.41--


ECM factoring results:
No ECM results for M31029827


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-02-01T00:00:00ANONYMOUSv4_computers1BCB01B09FD6EE3F34.15
2013-09-06T03:11:00LilithManual testing73E931BA994BEA__34.15
2013-12-27T21:52:00forrest-lumpkinThinkCP_Opteron1BCB01B09FD6EE3F34.15


PRP results:
No PRP results for M31029827


P-1 factor-bounds graph:
B1 = 300000, B2 = 12300000 (P-1 stage 2)
B1 = 345000, B2 = 4312500 (P-1 stage 2)
B1 = 345000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-23T05:38:30+00:00