is 2 27819563 - 1
has 8374523 decimal digits
takes 25.752 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
Actual2692.142663.2353%285000344967002.88446.8298%5.027065.7462%2.5109%
PrimeNet2660.530962.1212%13000045000000.49415.2882%1.024964.1243%2.0031%
GPU722708.589364.2857%20000060000000.69263.9167%9.281965.6845%1.3988%
Difference-1-6.4467-1.0504%+85000+28496700+2.1918+2.9131%-4.2549+0.0617%+0.0617%

Known prime factors (5 factors, 228.4 bits, 0.00082116% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2781956355639127825.7301
1
-111.607e-131.342e-62.732e-6
2781956387353427831033.024157
157
2008-09-0811574.253e-111.275e-52.163e-5
278195632704061523611237.9764860
22 × 35 × 5
2008-09-082432436.923e-100.00030.0007
27819563633986727390856791755.8151139462053
19 × 1721 × 34847
2015-02-161721348470.00030.00470.0048
27819563704204020660282131460072375.8981265663340326881
61 × 97 × 170081 × 1257653
2022-05-211700811257653510.880.30780.4646

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
278195634860268464918704411858.754
27819563150451622527950288472063.706
2781956323620904315054597606632271.0006
2781956335274468041614259577622332581.545
278195635538091383631509280713046572788.840
27819563171433911601703793155071381192993.792
278195631314246495040170768169182612013096.730
27819563391812969394280613681375301588931101.628
2781956361514635096343784117935797271748133108.923
278195631904210997038930418608375198077252735113.875
278195633081345698314792660712718486651443935114.569
2781956395384331797139707637367472720958211336119.521
2781956314975339824714032000408775895279084517739126.816
27819563446456002473895570441325064887730973375340131.714
278195633422620594484129040198412802249046047908741134.652
27819563105948637499045673505114550909470418786392943139.604
2781956316633935790293255202229839189880324849412264145146.899
27819563833214834375421765152807933951971683924044047946152.545
2781956324840422221557389828522331333571704369461935363148157.443
278195633899946219137373817150297030524047463519492005459950164.738
2781956312072444982743919854595995350675999294610020623408
33
52169.690
2781956392549766594597179344027670587532850909770483761744
07
52172.629
2781956321698960297975417225890015456905035337678888266726
80695073
58190.468
2781956367170029959540176526768811900767146060471735293843
524572791
59195.420
2781956310545694515317665983897553736722914460948473445217
111632758239
62202.714
2781956358675323644096306302165594734685080150284865447456
2416708213020017353
69228.444
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-21T03:33:29masserManual testing285000344967002375.8982.88451.505.7696.830%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T23:37:00Will EdgingtonManual testing??37.976123.41895e-1153.027.03956e-11
2008-09-08T23:37:00Will EdgingtonManual testing??33.024101.39785e-1253.022.87815e-12
2015-02-16T12:48:00TJAOIManual testing255256*55.815170.00053.020.000
2022-08-10T19:28:59LordJuliusManual testing2126537.976126.92337e-1053.021.42551e-9
2022-08-10T19:28:59LordJuliusManual testing2126525.73081.60715e-1353.023.30910e-13
2022-08-10T19:28:59LordJuliusManual testing2126533.024104.25321e-1153.028.75729e-11
2022-08-10T19:29:00LordJuliusManual testing2126563.706200.07652.900.156
2022-08-10T19:29:00LordJuliusManual testing2126558.754180.00353.020.005
2022-08-10T19:29:00LordJuliusManual testing2126555.815170.00053.020.001
2022-08-10T19:29:00LordJuliusManual testing265266--0.269--
2022-08-10T19:29:00LordJuliusManual testing266267--0.537--
2022-08-10T19:29:00LordJuliusManual testing267268--1.074--
2022-08-05T12:41:57masserManual testing267269--3.223--


ECM factoring results:
No ECM results for M27819563


Lucas-Lehmer results:
No L-L results for M27819563


PRP results:
No PRP results for M27819563


P-1 factor-bounds graph:
B1 = 285000, B2 = 34496700 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-10T19:29:00+00:00