is 2 31029773 - 1
has 9340893 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-LD0C66AF6C65344A8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27230.819965.2778%385000106837501.51003.9861%32.329966.6618%1.3841%
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%+165000+4183750+0.6128+0.2970%+16.0256+0.5741%+0.5741%

Known prime factors:
No known factors for M31029773

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-04-28T00:00:00ANONYMOUSv4_computers38500010683750---1.510--3.986%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-23T04:33:24ATH5960X3000001230000027--1.657


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--
2012-05-08T12:43:00bcp19Manual testing268269--1.927--
2013-12-16T02:16:00sasakiManual testing269270--3.853--
2018-05-27T22:15:56ramgeisManual testing270271--7.706--
2019-06-26T01:18:09LaurVManual testing271272--15.41--


ECM factoring results:
No ECM results for M31029773


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-07-25T00:00:00ANONYMOUSv4_computersD0C66AF6C65344A834.15
2013-03-13T00:16:00Frederick Menninger1505D0C66AF6C65344A834.15


PRP results:
No PRP results for M31029773


P-1 factor-bounds graph:
B1 = 385000, B2 = 10683750 (P-1 stage 2)
B1 = 385000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-23T04:33:24+00:00