is 2 15913 - 1
has 4791 decimal digits
takes 0.000 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
Actual2671,867.273179.1045%50000500000.00000.2129%1,867.273279.1490%0.0445%
PrimeNet2400.000065.0000%500100000.00003.4815%0.000066.2185%1.2185%
GPU722440.000168.1818%500100000.00001.4559%0.000168.6451%0.4632%
Difference+23+1,867.2730+10.9227%+49500+40000+0.0000-1.2430%+1,867.2730+10.5039%+10.5039%

Known prime factors (4 factors, 207.1 bits, 1.30136019% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1591395479516.5433
3
-135.490e-133.832e-107.033e-10
15913189519692631134.142595487
59 × 10093
2008-08-2659100932.723e-72.093e-73.550e-7
15913297234153111134.791933935
5 × 151 × 1237
2008-08-2615112371.655e-77.263e-81.062e-7
15913405761055312216553640876823952381203137121.610127493576105139368328057821891655
3 × 5 × 7198341503 × 1180768061198585864759
2021-12-24719834150311807680611985858647591.133e+132.223e+104.152e+10

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1591318095150732619771650.685
1591328379619704789691651.334
159135633172533654555857932168.933
15913537849680340803338759298472685.475
1591338741659800155124325077278274149404890784942138.153
159137689971048399570993001688307914590736810160315347155.752
1591312060604364074655395836890984531258987131140664148156.401
1591373423074573014263884080819795137720895989729674452
87
52172.295
1591311515344440774840225391105143120600768322941794676
039
53172.944
1591322857220320114653049921785610031822878680189041615
26075583
58190.543
1591321823845389442269585534821682602284166335057695043
8348170589257
63207.085
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:47:06Lisander ViaeneManual testing5000050000-
skipped known factor: 95479
skipped known factor: 18951969263
skipped known factor: 29723415311
--1.72792e-5--0.213%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??34.142111.28477e-71.68539e-55.70938e-7
2008-08-26T19:58:00ANONYMOUSManual testing??34.791112.16359e-81.68539e-59.61477e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:20.628 GHz-days
Estimated T-Level:35.914
DigitsB1CurvesCompleteFacMiss
20110002999 / 10029.9900.000%
25500002999 / 28010.7110.002%
302500002851 / 6404.4551.158%
3510000002280 / 15801.44323.610%
403000000859 / 47000.18383.295%

New Calculation Method

Total ECM effort:20.628 GHz-days
Estimated T-Level:35.914
DigitsB1CompleteFacMiss
2011000427.1580.000%
255000088.8160.000%
3025000015.0380.000%
3510000002.08012.497%
4030000000.24278.532%
45110000000.02597.579%
50440000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001480.037
250000250000005710.710
10000001000000001,4217.066
300000030000000085512.76
300000030000000040.060


Lucas-Lehmer results:
No L-L results for M15913


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:16:22Oliver KrusePRP
95479
18951969263
29723415311
28BDB2CB865FB4__no
2017-09-21T19:22:19Oliver KruseManual testing
95479
18951969263
29723415311
28BDB2CB865FB4__no
2017-10-12T16:01:23kkmrkkblmbrbkManual testing
95479
18951969263
29723415311
28BDB2CB865FB4__no
2020-04-17T13:48:15Oliver KruseManual testing
95479
18951969263
29723415311
6B91EF71A0F812__no
2021-12-24T10:06:54nordisweet16_ccx1
95479
18951969263
29723415311
4057610553122165536408768239523812031
6B91EF71A0F81285no
2021-12-24T16:04:14JackBlockWin10
95479
18951969263
29723415311
4057610553122165536408768239523812031
6B91EF71A0F81285no
2022-01-01T15:17:18nordisweet16_ccx3
95479
18951969263
29723415311
4057610553122165536408768239523812031
6B91EF71A0F81285no


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
101
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103
104
105
106
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108
109
1010
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1016
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1022
TF factor-bounds graph:
267
2
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2120
2130
Last modified: 2022-02-06T16:47:06+00:00