is 2 1000000007 - 1
has 301029998 decimal digits
takes 47,430.556 GHz-days to do one PRP test
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP7F7891AA9317B6E5PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual28862,685.884165.9091%55000002800000001,406.81403.4949%64,092.698167.1005%
Target2857,835.735464.7059%550000022400000008,750.96124.4846%16,586.696666.2887%
Difference+3+54,850.1487+1.2032%--1960000000-7,344.1472-0.9898%+47,506.0015+0.8118%

Known prime factors:
No known factors for M1000000007

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-12krieselasr2/radeonvii35500000280000000---1,407--3.495%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2023-04-30LordJuliusNvidiaGT1030271272--0.478--
2023-04-30LordJuliusNvidiaGT1030272273--0.957--
2012-10-23273274--1.913--
2022-05-02LordJuliusWhiteBox273274--1.913--
2012-10-23274275--3.826--
2022-05-02LordJuliusWhiteBox274275--3.826--
2013-01-13275276--7.652--
2013-02-03276277--15.30--
2019-07-12FanMing617277278--30.61--
2019-07-15FanMing617278279--61.22--
2019-07-18FanMing617279280--122.4--
2019-07-30FanMing617280281--244.9--
2020-10-26ramgeisr4mg31s281282--489.7--
2020-10-26ramgeisr4mg31s282283--979.5--
2020-10-26ramgeisr4mg31s283284--1,959--
2020-10-28ramgeisr4mg31s284285--3,918--
2021-06-04Krieselasr3-rtx2080285286--7,836--
2021-08-05ramgeisr4mg31s286287--15,672--
2021-12-01ramgeisr4mg31s287288--31,343--


ECM factoring results:
No ECM results for M1000000007


Lucas-Lehmer results:
No L-L results for M1000000007


PRP results:
dateuseridcompidcofactorsres64PRP
2023-03-01KrieselManual testing7F7891AA9317B6E5no


P-1 factor-bounds graph:
B1 = 5500000, B2 = 280000000 (P-1 stage 2)
B1 = 5500000 (P-1 stage 1)
105
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105
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109
TF factor-bounds graph:
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281
280
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272
this exponent TF target: 85
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Last modified: 2023-06-05T21:50:05+00:00