is 2 27798887 - 1
has 8368299 decimal digits
takes 25.733 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0845B74D70548ADEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27117.197764.7887%4400004400000.59061.7784%17.788365.4149%
Target2708.595764.2857%200000480000003.76413.9163%12.359765.6844%
Difference+1+8.6021+0.5030%+240000-47560000-3.1735-2.1379%+5.4286-0.2695%

Known prime factors (1 factor, 67.9 bits, 0.00024411% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
277988872677859642399784774972167.8604816487153604
22 × 3 × 72 × 8191304683		2011-09-184981913046832.0659599.031,118.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-08-01ANONYMOUSv4_computers440000440000---0.591--1.778%
2011-09-18Carsten KossendeyManual testing4400004400002167.8600.59151.471.1811.778%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-24Net_Forcev4_computers21256--0.000--
2004-10-031997rj7v4_computers21262--0.022--
2004-11-30tscv4_computers21267--1.069--
2004-12-13tscv4_computers21267--1.069--
2011-09-18Carsten KossendeyManual testing267271--16.13--


ECM factoring results:
No ECM results for M27798887


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-11-09ANONYMOUSv4_computers0845B74D70548ADE25.73
2008-05-21ANONYMOUSv4_computers22FC2417B3EBBE6125.73


PRP results:
No PRP results for M27798887


P-1 factor-bounds graph:
B1 = 440000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
271
267
262
256
this exponent TF target: 70
TF double-checked to: 67.8
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00