is 2 1264213 - 1
has 380567 decimal digits
takes 0.040 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5007D6FE3211F926double-checked
PRP22DA43A2636B760BPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26847.147869.1176%41000000118126324680297.553518.7992%344.701374.9233%5.8056%
PrimeNet2560.007662.5000%5500900000.00052.4420%0.008163.4157%0.9157%
GPU722600.121565.0000%5500340000.00030.9085%0.121865.3180%0.3180%
Difference+8+47.0263+4.1176%+40994500+118126290680+297.5532+17.8907%+344.5795+9.6053%+5.4877%

Known prime factors (2 factors, 229.1 bits, 0.01812563% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1264213383764257091732769010891545351331101.5981517799046093232584267412
22 × 19 × 271 × 1229 × 727157 × 82461517049
2022-04-18727157824615170491.487e+11206.50385.63
126421324884365751628770043667700744115986459939127.54998418406358852385016083922345823
31 × 41 × 103 × 1439 × 7993 × 82913 × 2705299 × 291396979
2022-04-1827052992913969791.480e+110.84721.3627

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
126421395497301358727732511086952652561090314991493334746
7048625533758886287
69229.147
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.193%
2003-12-23T00:00:00eteov4_computers2000005000000---0.021--3.066%
2014-09-29T22:04:00Jocelyn LaroucheManual testing250770250770---0.012--1.208%
2015-02-09T17:53:00mikrMSI4218475156083565---0.574--8.096%
2022-04-18T22:42:07Sid & AndyRocky4100000011812632468069229.147297.60.080595.118.799%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.015--
2003-06-01T00:00:00ANONYMOUSv4_computers21258--0.030--
2016-02-23T16:28:26Mark RoseManual testing258260--0.091--
2009-02-16T14:33:00Sturle Sundeghini.ifi260261--0.121--
2011-05-09T14:41:00XyzzyManual testing261262--0.243--
2012-10-11T11:56:00dbaughManual testing262263--0.776--
2015-04-08T03:18:00omylistManual testing263264--1.553--
2015-04-09T02:12:00monstManual testing264265--2.955--
2015-09-23T08:42:47ramgeisManual testing265266--5.911--
2018-09-16T10:11:03YxinityManual testing266267--11.82--
2020-05-02T21:33:16Gordon SpenceManual testing267268--23.64--


ECM factoring results:
Total ECM effort:19.360 GHz-days
Estimated T-Level:25.674
DigitsB1CompleteFacMiss
201100014.3150.000%
25500001.60820.026%
302500000.13587.391%
3510000000.00999.079%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002549.76
25000025000000509.60


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-31T00:00:00ANONYMOUSv4_computers5007D6FE3211F9260.040
2016-06-01T18:50:28MadPooManual testing5007D6FE3211F9260.040


PRP results:
dateuseridcompidcofactorsres64PRP
2022-04-20T13:08:12zr_zirconRyzen_5_3550H
3837642570917327690108915453513
248843657516287700436677007441159864599
22DA43A2636B760Bno


P-1 factor-bounds graph:
B1 = 41000000, B2 = 118126324680 (P-1 stage 2)
B1 = 41000000 (P-1 stage 1)
B1 = 4218475, B2 = 156083565 (P-1 stage 2)
B1 = 4218475 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 250770 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-04-20T13:08:12+00:00