is 2 25176251 - 1
has 7578807 decimal digits
takes 21.575 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
Actual274151.963366.2162%130000001300453440103.31229.8028%255.275569.5280%
Target2709.491164.2857%18000055000000.58383.7361%10.074965.6201%
Difference+4+142.4722+1.9305%+12820000+1294953440+102.7284+6.0667%+245.2006+3.9079%

Known prime factors (7 factors, 272.1 bits, 0.00108081% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2517625150352503825.5861
1		-111.776e-131.243e-62.529e-6
25176251654582527929.28613
13		2008-09-081132.849e-122.055e-62.529e-6
25176251271903510811134.662540
22 × 33 × 5		2008-09-0827271.015e-103.355e-56.828e-5
25176251394763615691135.200784
24 × 72		2008-09-0849492.127e-106.089e-50.0001
251762514666669885371238.7649268
22 × 7 × 331		2008-09-0873311.463e-93.063e-54.238e-5
251762515438573741031238.98410801
7 × 1543		2008-09-08715431.946e-90.00010.0002
251762519105186016290932249512169.62518082886956225
52 × 7 × 13 × 157 × 50627527		2023-01-11157506275278.15993.42766.4015

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2023-01-25LordJuliusWhiteBox130000001300453440-
skipped known factor: 50352503
skipped known factor: 654582527
skipped known factor: 27190351081
skipped known factor: 39476361569
skipped known factor: 466666988537
skipped known factor: 543857374103
skipped known factor: 910518601629093224951
--103.3--9.803%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??34.662111.06254e-1144.542.19337e-11
2008-09-08Will EdgingtonManual testing??35.200113.08529e-1144.546.36889e-11
2008-09-08Will EdgingtonManual testing??38.764128.81513e-1244.541.81968e-11
2008-09-08Will EdgingtonManual testing??38.984124.91443e-1044.541.01447e-9
2008-09-08Will EdgingtonManual testing??29.28697.99363e-1544.541.65010e-14
2023-01-11wickManual testing2126034.662111.01531e-1044.542.09588e-10
2023-01-11wickManual testing2126054.872170.00044.540.000
2023-01-11wickManual testing2126035.200112.12665e-1044.544.38998e-10
2023-01-11wickManual testing2126038.764121.46331e-944.543.02067e-9
2023-01-11wickManual testing2126025.58681.77589e-1344.543.66592e-13
2023-01-11wickManual testing2126038.984121.94594e-944.544.01695e-9
2023-01-11wickManual testing2126029.28692.84881e-1244.545.88071e-12
2023-01-11wickManual testing260261--0.006--
2023-01-11wickManual testing261262--0.012--
2023-01-11wickManual testing262263--0.039--
2023-01-11wickManual testing263264--0.078--
2023-01-11wickManual testing264265--0.148--
2023-01-11wickManual testing265266--0.297--
2019-06-17Seth_TrManual testing266267--0.594--
2019-06-20Seth_TrManual testing267268--1.187--
2023-01-11wickManual testing268269--2.375--
2023-01-11wickManual testing269270
skipped known factors(?)
--4.749--
2023-01-11wickManual testing26927069.625213.41843.956.963
2023-01-11wickManual testing270271--9.498--
2023-01-11wickManual testing271272--19.00--
2023-01-11wickManual testing272273--37.99--
2023-01-11wickManual testing273274--75.99--


ECM factoring results:
No ECM results for M25176251


Lucas-Lehmer results:
No L-L results for M25176251


PRP results:
No PRP results for M25176251


P-1 factor-bounds graph:
B1 = 13000000, B2 = 1300453440 (P-1 stage 2)
B1 = 13000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2023-01-25T16:55:55+00:00