is 2 105601 - 1
has 31790 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-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267281.379174.6269 %10000000020000000000.655811.7705 %282.034977.6134 %
Target2440.000061.3636 %14001000000.00004.5217 %0.000063.1107 %
Difference+23+281.3791+13.2632 %+99998600+1999900000+0.6558+7.2488%+282.0349+14.5028 %

Known prime factors (1 factor, 97.9 bits, 0.09266014% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1056012856251927406142983149847432733097.8501352379204461199696570036
22 × 32 × 97 × 387279268173310336933
2003-10-14973872792681733103369335.431e+116.799e+101.270e+11

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-14ANONYMOUSv4_computers100000025000000--0.00727.477%
2002-06-02ANONYMOUSv4_computers327683276800--0.00119.062%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00121.647%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00324.194%
2003-09-29ANONYMOUSv4_computers2621442621440012--0.00526.698%
2003-10-14George Woltmanv4_computers3097.850-0.000%
2016-11-21kkmrkkblmbrbkManual testing100000000200000000012---40.879%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-14ANONYMOUSv4_computers2522530.006
2000-04-12ANONYMOUSv4_computers212540.023
2000-12-14ANONYMOUSv4_computers212560.136
2002-04-28ANONYMOUSv4_computers212570.182
2018-10-25J.R. AllenManual testing21257
2018-11-05J.R. AllenManual testing257260
2022-04-17LordJuliusManual testing21263


ECM factoring results:
Total ECM effort:12.208 GHz-days
Estimated T-Level:30.727
DigitsB1CompleteFacMiss
201100081.7620.000%
255000012.7370.000%
302500001.50522.203%
3510000000.14586.468%
4030000000.01298.811%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.650
250000250000005996.958
1000000100000000994.600


Lucas-Lehmer results:
No L-L results for M105601


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
285625192740614298314984743273
9891E6510021CAF2
2017-09-21Oliver KruseManual testing
285625192740614298314984743273
9891E6510021CAF2
2017-10-13kkmrkkblmbrbkManual testing
285625192740614298314984743273
9891E6510021CAF2
2020-04-17Oliver KruseAddPrpType5
285625192740614298314984743273
09B2B1D40982DEF1
2022-04-15LordJuliusWhitebox
285625192740614298314984743273
09B2B1D40982DEF1


CERT results:
dateuseridcompid
2022-04-15Simon Josefssonmajs


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (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 = 65536 (P-1 stage 1)
B1 = 32768 (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
ECM T-Level=30.73 ~= 85-bit
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Last modified: 2024-03-13T02:15:48+00:00