is 2 22369051 - 1
has 6733756 decimal digits
takes 16.311 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L52EA4B38672ED149double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275342.075766.6667%100000035344023021.35935.8680%363.435068.6227%1.9560%
PrimeNet2650.326261.5385%10000032000000.28435.1521%0.610563.5200%1.9816%
GPU722695.337163.7681%17000050000000.45803.9760%5.795165.2087%1.4406%
Difference+6+336.7385+2.8986%+830000+348440230+20.9013+1.8920%+357.6399+3.4140%+3.4140%

Known prime factors:
No known factors for M22369051

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-10-03T00:00:00Shintarou Sakaiv4_computers2450003552500---0.450--2.026%
2022-01-31T14:38:46Sid & AndyMagic_8_Ball1000000353440230---21.36--5.868%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers21267--1.328--
2017-04-24T20:35:30ramgeisManual testing267268--1.336--
2017-05-15T00:50:37ramgeisManual testing268269--2.673--
2017-05-15T00:50:37ramgeisManual testing269270--5.345--
2021-09-06T18:18:46TheJudgerManual testing270271--10.69--
2021-09-06T18:18:46TheJudgerManual testing271272--21.38--
2021-09-06T18:18:46TheJudgerManual testing272273--42.76--
2021-10-02T17:39:31TheJudgerManual testing273274--85.52--
2021-11-21T17:07:46TheJudgerManual testing274275--171.0--


ECM factoring results:
No ECM results for M22369051


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-10-18T00:00:00Shintarou Sakaiv4_computers52EA4B38672ED14916.31
2009-08-09T19:30:00TheJudgerv4_computers52EA4B38672ED14916.31
2009-08-16T00:00:00TheJudgerv4_computers52EA4B38672ED14916.31


PRP results:
No PRP results for M22369051


P-1 factor-bounds graph:
B1 = 1000000, B2 = 353440230 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 245000, B2 = 3552500 (P-1 stage 2)
B1 = 245000 (P-1 stage 1)
104
105
106
104
105
106
107
108
109
TF factor-bounds graph:
275
274
273
272
271
270
269
268
267
250
260
270
280
290
2100
Last modified: 2022-01-31T14:38:46+00:00