is 2 48473 - 1
has 14592 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2A0C941D6DC5C64Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267612.999476.1194%66782043438463581034879029,965.100929.8112%30,578.100383.2385%
Target2440.000063.6364%500500000.00002.0219%0.000164.3716%
Difference+23+612.9993+12.4830%+667819934+384635810298790+29,965.1009+27.7894%+30,578.1002+18.8669%

Known prime factors:
No known factors for M48473

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29ANONYMOUSv4_computers10000010000000---0.001--2.105%
2001-08-18Alex Kruppav4_computers1000000100000000---0.009--5.025%
2002-04-28ANONYMOUSv4_computers163841638400---0.000--0.721%
2002-06-09ANONYMOUSv4_computers327683276800---0.000--1.148%
2002-07-20ANONYMOUSv4_computers655366553600---0.001--1.704%
2003-02-02ANONYMOUSv4_computers13107213107200---0.001--2.386%
2003-03-27ANONYMOUSv4_computers26214426214400---0.002--3.185%
2003-04-27ANONYMOUSv4_computers1048576104857600---0.010--5.096%
2003-05-26ANONYMOUSv4_computers2097152209715200---0.019--6.193%
2003-07-21ANONYMOUSv4_computers4194304419430400---0.038--7.375%
2003-10-14ANONYMOUSv4_computers8388608838860800---0.077--8.631%
2003-10-23ANONYMOUSv4_computers167772161677721600---0.153--9.944%
2011-07-24Jocelyn LaroucheManual testing1681941216819412---0.024--4.214%
2012-02-17Jocelyn LaroucheManual testing2102426521024265---0.030--4.481%
2012-05-29Jocelyn LaroucheManual testing5045823850458238---0.072--5.608%
2012-06-27alpertronManual testing1000000002000000000---0.291--11.109%
2019-04-01alexManual testing10000000005000000000012---5.247--16.994%
2023-02-16Jocelyn LaroucheManual testing504592381246279474440---97.16--19.422%
2023-04-16JacobZPM1Server667820434384635810348790---29,965--29.811%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-09-25masserManual testing2500000825000009713--0.012
2022-09-25masserManual testing500000020500000065--0.026
2022-09-25masserManual testing1000000049000000027--0.058
2023-08-10masserManual testing1400000002506000000012241--2.207


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-29ANONYMOUSv4_computers252253--0.012--
2000-03-28ANONYMOUSv4_computers21254--0.050--
2000-11-05ANONYMOUSv4_computers21256--0.198--
2002-11-09ANONYMOUSv4_computers21257--0.396--
2016-02-23LaurVManual testing257258--0.396--
2009-01-06Sturle Sundedanzi.ifi258259--0.792--
2009-01-18Sturle Sundehaydn.ifi259260--1.584--
2013-11-30LaurVManual testing260261--3.169--
2014-07-20Sid & AndyMrs_Potato_Head261262--6.337--
2016-06-14Sid & AndyBullseye262263--20.25--
2018-05-15YxinityYGSMainFrame263264--40.50--
2018-05-15YxinityManual testing263264--40.50--
2019-09-01YxinityYGSMainFrame264265--77.08--
2019-09-02YxinityManual testing264265--77.08--
2021-08-08Ruslan BorisovManual testing265266--154.2--


ECM factoring results:
Total ECM effort:13,770.078 GHz-days
Estimated T-Level:43.822
DigitsB1CompleteFacMiss
20110002,261.4140.000%
2550000628.3380.000%
30250000158.7470.000%
35100000031.4000.000%
4030000005.2440.528%
45110000000.76446.565%
50440000000.09890.635%
551100000000.01198.864%
602600000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
250000250000001250.643
30000003000000003,462213.7
300000040200000035023.99
350000035000000016211.67
11000000110000000071.584
11000000669888519302,85013,213
110000007783202427057305.6


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01George Woltman2A0C941D6DC5C64E4.77998e-5
2015-04-11MadPooManual testing2A0C941D6DC5C64E4.77998e-5


PRP results:
No PRP results for M48473


P-1 factor-bounds graph:
B1 = 667820434, B2 = 384635810348790 (P-1 stage 2)
B1 = 50459238, B2 = 1246279474440 (P-1 stage 2)
B1 = 1000000000, B2 = 50000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 667820434 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 50459238 (P-1 stage 1)
B1 = 50458238 (P-1 stage 1)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 21024265 (P-1 stage 1)
B1 = 16819412 (P-1 stage 1)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=43.82 ~= 129-bit
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Last modified: 2023-10-02T12:12:48+00:00