is 2 4160437 - 1
has 1252417 decimal digits
takes 0.519 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9F8F9A21548FD43Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2677.142067.1642%3360002279663102.30368.0293%9.445669.8007%
Target2651.753666.1538%220004500000.00821.8716%1.761866.7873%
Difference+2+5.3884+1.0103%+314000+227516310+2.2954+6.1578%+7.6839+3.0134%

Known prime factors (2 factors, 140.0 bits, 0.00336429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
416043745980148741829392731961.996552587970228
22 × 3 × 7 × 44729 × 147073
2011-01-20447291470730.13020.00910.0165
41604372967123985743057034751772477.97335658802016988324
22 × 3 × 23593 × 166631 × 755869
2023-01-2516663175586911,3130.03590.0613

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-01Carsten Kossendeyleela25000325000---0.007--1.333%
2023-01-25USAFSS6917th_Scty_Sq3360002279663102477.9732.3041.0384.6078.029%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-01-20Grant McCrackenWork-3??61.996190.0562.6520.288
2001-08-31ANONYMOUSv4_computers21261--0.074--


ECM factoring results:
Total ECM effort:0.544 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.544


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01David Bass9F8F9A21548FD43A0.519
1999-10-29ANONYMOUSv4_computers9F8F9A21548FD43A0.519


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20kkmrkkblmbrbkManual testing
4598014874182939273
1AE5E7DB318633__no
2018-01-15Oliver KruseGTX-7
4598014874182939273
1AE5E7DB318633__no
2023-01-31TravisJankKRMPNCDT2
4598014874182939273
296712398574305703475177
31BC1BD64AC9C3E6no


P-1 factor-bounds graph:
B1 = 336000, B2 = 227966310 (P-1 stage 2)
B1 = 336000 (P-1 stage 1)
B1 = 25000, B2 = 325000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
261
2
this exponent TF target: 65
TF double-checked to: 67.7
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
Last modified: 2023-03-25T13:08:14+00:00