is 2 235699 - 1
has 70953 decimal digits
takes 0.001 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
Actual267126.067273.1343%30000000101202470268904,486.311423.3416%4,612.378679.4052%6.2709%
PrimeNet2400.000055.0000%2400650000.000013.7674%0.000061.1953%6.1953%
GPU722440.000059.0909%45001000000.00019.8730%0.000163.1299%4.0390%
Difference+23+126.0672+14.0434%+29995500+10120246926890+4,486.3113+13.4686%+4,612.3785+16.2753%+16.2753%

Known prime factors (5 factors, 298.0 bits, 0.12642019% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23569915084737823.84732
25
-32324.774e-122.604e-75.299e-7
23569930640871824.86965
5 × 13
2008-07-215139.616e-124.423e-88.279e-8
2356993778660452417671548.425801586017
33 × 311 × 95461
2009-02-01311954610.00024.471e-57.903e-5
2356991492677012649367388419891389513096.914316648991435977112423025
3 × 52 × 541 × 883 × 1193 × 12821 × 577825273
2021-07-08128215778252731.324e+110.25620.4784
2356991914716099955177088015211642361732103.91740617824003393673456722592
25 × 33 × 19 × 13711 × 252431 × 714887151157
2021-02-052524317148871511576.798e+11316.90591.87

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2356994622094804859271548.716
23569957000099137021566102792272.271
235699115781447475331464590572373.294
2356991746532684644689131173561130093097.140
235699225166401617613802706909071793229088737120.760
235699457369237892546343801807858999866632137121.783
23569928882988797489558161135319624364303372939127.763
23569958668569020349686936029745971302985040739128.786
2356995640319595931114701314027640798100695176641744145.339
2356996899294665499495856561851677546071180304257744145.629
235699723506200450802610860788222175343711615361123946152.342
235699884999933838322675462344542153915076653893795946152.632
23569985082737700567135386155661372169819086256808587732
9
51169.185
23569917282430513769741044916665143212894044591780054292
07
52170.208
23569910913900751669638823748333944212627774321567714055
9143
54176.188
23569922168860155713184645848610873994046048267481815834
9169
54177.211
23569926070091902099142222067308060243384167153327448084
159713559
59194.054
23569928580527081527412630628201913173064239128300647675
83391005767
61200.831
23569933441142503871243781506443684954032420400426884415
21568533553
61201.057
23569943112973434621857782350457064311250953135552452711
961578890160678279
68224.677
23569987573224341708793337884938378348906202584341259465
167665550266903057
68225.700
23569910799610739221984260738162491861227676512457435209
53766435702082174806270289
76249.256
23569913210190574366752780893464316985997443036535082172
80814895729736512419341009
76249.546
23569916290928770353921719137460705299125999731149763383
041555841993319959340613260478993
83273.102
23569933090947951071546009730840169015842713764793816524
630154320477294349638377916381719
83274.125
23569949916824692260313974018916473863953617050819458150
0299900193813699735880975975226222722903
90297.971
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-07-08T12:20:46Oliver KruseOllaptop300000003000000000243096.9141.5610.0033.12112.512%
2022-03-31T13:17:12Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 15084737
skipped known factor: 30640871
skipped known factor: 377866045241767
skipped known factor: 149267701264936738841989138951
skipped known factor: 19147160999551770880152116423617
--4,486--23.342%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:14:00J FeitsmaManual testing??24.86981.33413e-130.0032.77088e-13


ECM factoring results:

Old Calculation Method

Total ECM effort:12.824 GHz-days
Estimated T-Level:27.516
DigitsB1CurvesCompleteFacMiss
2011000611 / 1006.1100.215%
2550000599 / 2802.13911.729%
30250000322 / 6400.50360.440%

New Calculation Method

Total ECM effort:12.824 GHz-days
Estimated T-Level:27.516
DigitsB1CompleteFacMiss
201100040.4370.000%
25500005.6030.369%
302500000.57356.394%
3510000000.04695.483%
4030000000.00399.695%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000120.016
5000050000002771.653
250000250000002978.861
2500003625000070.240
2500003850000070.246
2500003850000040.141
25000055133578571.667


Lucas-Lehmer results:
No L-L results for M235699


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T05:30:41Oliver KruseOllaptop
15084737
30640871
377866045241767
CB73B6710E02AF__no
2017-09-22T10:05:13Oliver KruseManual testing
15084737
30640871
377866045241767
CB73B6710E02AF__no
2017-10-12T15:15:04kkmrkkblmbrbkc4.xlargeCB73B6710E02AF__no
2020-04-17T20:06:32Oliver KruseAddPrpType5
15084737
30640871
377866045241767
5AA15B477EF333__no
2021-02-06T06:09:54mrhw
15084737
30640871
377866045241767
19147160999551770880152116423617
5AA15B477EF333F5no
2021-07-08T12:32:38mnd975202
15084737
30640871
377866045241767
149267701264936738841989138951
19147160999551770880152116423617
5AA15B477EF333F5no
2021-07-09T06:50:18LaurVbutu
15084737
30640871
377866045241767
149267701264936738841989138951
19147160999551770880152116423617
5AA15B477EF333F5no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
2110
Last modified: 2022-07-03T15:57:05+00:00