is 2 8724319 - 1
has 2626282 decimal digits
takes 2.278 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDB853D6B30D45851double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.405964.1791%16000035600000.13074.0034%3.536665.6132%
Target2686.832064.7059%5500012000000.04442.2980%6.876565.5169%
Difference-1-3.4262-0.5268%+105000+2360000+0.0863+1.7054%-3.3399+0.0962%

Known prime factors (3 factors, 202.6 bits, 0.00232250% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8724319268335858386253925912064.5411537861341305
5 × 19 × 109 × 137 × 1084043		2012-05-2813710840430.49190.02240.0418
8724319742265271794390413692066.0094254001210836
22 × 32 × 13 × 21557 × 421661		2012-05-28215574216613.17450.01640.0166
872431949674303678858561831912272.073284688717130005
3 × 5 × 83 × 80557 × 2838557		2012-05-28805572838557189.000.08740.1094

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-12-09ANONYMOUSv4_computers45000720000---0.031--2.195%
2012-05-28James Heinrichi7-920160000356000061202.6220.1314.5560.2614.003%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-29ANONYMOUSv4_computers21261--0.035--
1998-11-21ANONYMOUSv4_computers21263--0.183--
1999-10-29ANONYMOUSv4_computers21264--0.408--


ECM factoring results:
No ECM results for M8724319


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-30ANONYMOUSv4_computersDB853D6B30D458512.278
2002-12-16ANONYMOUSv4_computersDB853D6B30D458512.278


PRP results:
dateuseridcompidcofactorsres64PRP
2019-01-04GunnarLuRibenboim
26833585838625392591
74226527179439041369
4967430367885856183191
88FE17C760FDE3__no
2020-10-03oodairacom2
26833585838625392591
74226527179439041369
4967430367885856183191
88FE17C760FDE373no


P-1 factor-bounds graph:
B1 = 160000, B2 = 3560000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 45000, B2 = 720000 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
TF factor-bounds graph:
264
263
261
this exponent TF target: 68
TF double-checked to: 67.8
250
260
270
280
Last modified: 2023-04-26T21:34:10+00:00