is 2 8154007 - 1
has 2454601 decimal digits
takes 2.129 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0BDB618344D8877Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2687.309966.1765%10000019750000.07652.8848%7.386467.1522%0.9757%
PrimeNet2630.195763.4921%360009000000.03153.6166%0.227264.8124%1.3204%
GPU722673.644165.6716%5500013000000.04652.6241%3.690666.5725%0.9008%
Difference+1+3.6658+0.5048%+45000+675000+0.0300+0.2607%+3.6958+0.5797%+0.5797%

Known prime factors (1 factor, 99.0 bits, 0.00121468% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
81540076540941362505644978267145571913099.04540108754888888646884085
33 × 5 × 73 × 97 × 109 × 35171 × 82129 × 133261
2012-11-04821291332612.114e+100.03210.0633

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-10T00:00:00ANONYMOUSv4_computers45000697500---0.030--1.891%
2012-11-04T06:39:00NesowaEPC10000019750003099.0450.0774.2580.1532.885%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-27T00:00:00Phillip Remakerv4_computers21263--0.196--
2022-06-24T02:43:27LordJuliusManual testing263264--0.241--
2022-06-24T02:43:27LordJuliusManual testing264265--0.458--
2022-06-24T02:43:27LordJuliusManual testing265266--0.916--
2022-06-24T02:43:27LordJuliusManual testing266267--1.833--
2022-06-19T08:48:56FlaukrotistManual testing267268--3.666--


ECM factoring results:
No ECM results for M8154007


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-22T00:00:00ANONYMOUSv4_computers0BDB618344D8877D2.129
2002-08-24T00:00:00ANONYMOUSv4_computers0BDB618344D8877D2.129


PRP results:
dateuseridcompidcofactorsres64PRP
2018-09-13T12:26:12M Graber4fbe3b4e25
654094136250564497826714557191
1356B474B30EC1__no
2020-02-23T05:57:17daveward2005Davy
654094136250564497826714557191
1356B474B30EC15Fno


P-1 factor-bounds graph:
B1 = 100000, B2 = 1975000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 697500 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
103
104
105
106
107
TF factor-bounds graph:
268
267
266
265
264
263
250
260
270
280
290
2100
Last modified: 2022-06-24T02:43:27+00:00