is 2 251071 - 1
has 75580 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
Actual267118.348773.1343%30000000101202470268904,486.311423.4226%4,604.660179.4270%6.2927%
PrimeNet2400.000055.0000%2600700000.000114.2143%0.000161.3964%6.3964%
GPU722440.000059.0909%45001100000.000110.1669%0.000163.2501%4.1592%
Difference+23+118.3487+14.0434%+29995500+10120246916890+4,486.3113+13.2557%+4,604.6600+16.1769%+16.1769%

Known prime factors (3 factors, 221.1 bits, 0.08805702% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
251071226387660189702791754.33045084390509
61 × 739088369
2014-04-23617390883690.01040.32760.6119
2510713906013478540785195001692478.370777870299345759804
22 × 1399 × 2143 × 139301 × 465643
2015-09-25139301465643334,8060.00130.0023
2510714044127602285950422019621772788.386805375292703249364128
25 × 33 × 379 × 733 × 3355377400561
2021-06-267333355377400561284,693,1361,487.42,778.0

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
251071884273252076290229515868375427914647715140132.700
251071915540585390109256186689819454157884513738343142.716
25107115796416923467750292462355334462292768928908310791
3
51166.756
25107135761138666848874365599169677608605951116163468972
34373569296717727
67221.086
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-27T08:54:27ViliamF3500000007050000000-
skipped known factor: 22638766018970279
skipped known factor: 390601347854078519500169
--3.510--14.125%
2021-08-18T09:32:20Oliver KruseOllaptop30000000300000000024-
skipped known factor: 22638766018970279
skipped known factor: 390601347854078519500169
--1.561--12.572%
2022-04-20T08:40:12Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 22638766018970279
skipped known factor: 390601347854078519500169
skipped known factor: 404412760228595042201962177
--4,486--23.423%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-02-18T00:00:00ANONYMOUSv4_computers??54.330170.0010.0030.002
2003-08-25T00:00:00ANONYMOUSv4_computers??54.330170.0010.0030.002
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.010--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.648 GHz-days
Estimated T-Level:27.172
DigitsB1CurvesCompleteFacMiss
2011000559 / 1005.5900.363%
2550000559 / 2801.99613.533%
30250000278 / 6400.43464.745%

New Calculation Method

Total ECM effort:11.648 GHz-days
Estimated T-Level:27.172
DigitsB1CompleteFacMiss
201100036.6740.000%
25500005.0180.662%
302500000.50860.141%
3510000000.04196.005%
4030000000.00399.732%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002541.519
500005000000270.161
250000250000002326.936
2500003475000070.236
2500003625000070.241
25000038500000210.740
2500003850000040.141
25000055133578571.673


Lucas-Lehmer results:
No L-L results for M251071


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T07:10:26Oliver KruseOllaptop3703ADE6149BB1__?
2017-09-22T10:06:14Oliver KruseManual testing3703ADE6149BB1__?
2017-10-12T18:06:18kkmrkkblmbrbkc4.xlarge3703ADE6149BB1__no
2020-04-17T20:16:18Oliver KruseAddPrpType5
22638766018970279
390601347854078519500169
25ACA35033D375__no
2021-06-27T04:12:46tottenhoff2018pc
22638766018970279
390601347854078519500169
404412760228595042201962177
25ACA35033D3750Ano


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 50000000, B2 = 7050000000 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 30000000 (P-1 stage 1)
100
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100
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TF factor-bounds graph:
267
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253
2
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2100
Last modified: 2022-07-03T21:23:11+00:00