is 2 3227221 - 1
has 971491 decimal digits
takes 0.275 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.993768.1159%3750000325041255022.292611.8159%59.286371.8833%3.7674%
PrimeNet2600.047663.3333%130002400000.00312.6615%0.050764.3092%0.9759%
GPU722641.102965.6250%160002800000.00371.6526%1.106766.1931%0.5681%
Difference+5+35.8908+2.4909%+3734000+3250132550+22.2889+10.1633%+58.1797+5.6903%+5.6903%

Known prime factors (5 factors, 252.8 bits, 0.00783397% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
322722196816631826.52915
3 × 5
-352.779e-123.837e-77.535e-7
3227221211636505981771444.2673278928
24 × 3 × 68311
2008-09-3016683111.252e-60.00050.0009
3227221791390493437931446.16912261176
23 × 1532647
2014-02-05815326475.618e-60.01030.0192
322722193650279809791291653.0561450943084
22 × 229 × 1583999
2014-09-0222915839990.00070.01070.0199
322722184095465819910470387955532582.7981302908381854085456
24 × 47 × 1399 × 6301 × 196548097
2021-11-076301196548097322,9471.32232.4683

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
322722120489933505766318816872270.795
322722176619761380087990213832272.698
32272219066904583391313510943992479.585
322722116748711889839238437720653612890.436
32272211981981800315932860390024478333097.323
32272217411394114927094225730786962973099.226
322722181418396830593844645871173924194333109.327
322722116215538587638781971458170016381879136116.965
32272211918888006099033551651555159994431062338123.852
32272217175462092204680735548083067334771540738125.754
322722117797670555035216843826404977405750688139127.065
322722166552352191111523722699420445773655252939128.968
32272217875563904769355056309481124062179101333741135.855
32272211568521554937022951951318121738249936485056944143.492
32272211723110502786409781173725678754055901647773791147153.594
32272216443374524268885872108336113212323490141230979947155.497
3227221762485564484973788594699255789793215109736440764749162.383
322722115185897259988397937760149655594522268644719090130
39
52170.021
322722114084907282595037756564255153903688429845848632139
633
53173.234
322722116667568274415315100068264970929502708608306830348
86649
55180.121
322722162326464046973706501204466871553731503193238943611
67241
55182.024
322722113636532710482164929083493190253416122513549138997
17588636423
61199.763
322722116136978072913743027920372845007073907528309659286
6580823059519
63206.650
322722160342382711706200090294139246549420196177351364984
8109501185071
63208.553
322722113190555081099923678208067490771425095529520407545
8926237269586719657
69226.291
322722112770651039720263848812332114771129688180213269043
403017169948024959532215567
77252.819
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-12-27T22:05:56Jocelyn LaroucheManual testing32272296816636-
skipped known factor: 96816631
skipped known factor: 21163650598177
skipped known factor: 79139049343793
skipped known factor: 9365027980979129
--0.103--3.868%
2021-09-13T11:19:25Jocelyn LaroucheManual testing32272213227221-
skipped known factor: 96816631
skipped known factor: 21163650598177
skipped known factor: 79139049343793
skipped known factor: 9365027980979129
--0.398--3.464%
2021-11-07T02:34:41Jocelyn LaroucheManual testing3227221129088840122582.7981.2450.5492.4897.795%
2021-12-20T22:06:07Jocelyn LaroucheManual testing3750000116735850-
skipped known factor: 96816631
skipped known factor: 21163650598177
skipped known factor: 79139049343793
skipped known factor: 9365027980979129
--1.222--7.761%
2022-03-20T13:02:21Jocelyn LaroucheManual testing37500001042528410-
skipped known factor: 96816631
skipped known factor: 21163650598177
skipped known factor: 79139049343793
skipped known factor: 9365027980979129
skipped known factor: 8409546581991047038795553
--7.447--10.432%
2022-07-21T21:50:43Jocelyn LaroucheManual testing37500003250412550-
skipped known factor: 96816631
skipped known factor: 21163650598177
skipped known factor: 79139049343793
skipped known factor: 9365027980979129
skipped known factor: 8409546581991047038795553
--22.29--11.816%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:46:00markrManual testing??44.267145.26257e-70.6051.15942e-6
2014-02-05T16:53:00TJAOIManual testing??46.169142.71365e-60.6055.97852e-6
2014-09-02T11:40:00TJAOIManual testing??53.056160.0000.6040.001
2021-02-01T19:24:58Jocelyn LaroucheManual testing265266--2.316--
2021-02-03T11:50:57Jocelyn LaroucheManual testing266267--4.631--
2021-02-04T01:07:14Jocelyn LaroucheManual testing267268--9.262--
2021-08-31T10:59:33Jocelyn LaroucheManual testing268269--18.52--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.353 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.353 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.353


Lucas-Lehmer results:
No L-L results for M3227221


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-02T03:50:19Oliver KruseGTX-1
96816631
21163650598177
79139049343793
9365027980979129
49C3A07C32D073__no
2017-12-13T12:57:42kkmrkkblmbrbkc4.xlarge
96816631
21163650598177
79139049343793
9365027980979129
49C3A07C32D073__no
2021-11-09T07:02:11SRJ2877LTOS
96816631
21163650598177
79139049343793
9365027980979129
8409546581991047038795553
49C3A07C32D073AAno


P-1 factor-bounds graph:
B1 = 3750000, B2 = 3250412550 (P-1 stage 2)
B1 = 3750000, B2 = 1042528410 (P-1 stage 2)
B1 = 3227221, B2 = 129088840 (P-1 stage 2)
B1 = 3750000, B2 = 116735850 (P-1 stage 2)
B1 = 3750000 (P-1 stage 1)
B1 = 3227221 (P-1 stage 1)
B1 = 322722, B2 = 9681663 (P-1 stage 2)
B1 = 322722 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
267
266
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-07-21T21:50:43+00:00