is 2 5212939 - 1
has 1569252 decimal digits
takes 0.823 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
Actual2675.700065.6716%25000002400000003.535410.2193%9.235469.1798%3.5081%
PrimeNet2620.117962.9032%220005000000.01103.0041%0.128964.0176%1.1144%
GPU722662.833065.1515%300006000000.01401.9881%2.847065.8443%0.6928%
Difference+1+2.8670+0.5201%+2470000+239400000+3.5214+8.2312%+6.3884+3.3354%+3.3354%

Known prime factors (3 factors, 164.5 bits, 0.00315523% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
52129398594676788091239.64582436
22 × 37 × 557
-375572.590e-81.496e-51.724e-5
5212939426559258494582231755.2444091350949
7 × 584478707
2015-08-0675844787070.00177.291613.619
52129398899041123722991434172169.59285355316105972
22 × 3 × 11 × 157 × 51683 × 79691
2021-10-10516837969130.1100.01220.0241

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
5212939366613895772826804920278964072994.888
521293976484382182320344322318798275035333109.237
52129393795968383048073027532534051642696799138124.836
52129393262512135010680309233708190095100751359451200271950164.480
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-10-10T10:46:41happy5214Manual testing250000025000002169.5920.5721.6461.1454.118%
2021-10-23T08:27:54happy5214Manual testing2500000240000000-
skipped known factor: 859467678809
skipped known factor: 889904112372299143417
--3.535--10.219%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-10T10:46:41happy5214Manual testing1250000125000027P-12169.5920.435
2021-10-23T08:27:54happy5214Manual testing12500008500000027--1.459


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-01-14T12:21:00TJAOIManual testing255256*55.244170.0011.7870.002


ECM factoring results:
No ECM results for M5212939


Lucas-Lehmer results:
No L-L results for M5212939


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-23T22:39:08kkmrkkblmbrbkc4.xlarge
859467678809
42655925849458223
0F4F58C5D1BB57__no
2018-05-27T20:44:23Gabriel Lignelli
859467678809
42655925849458223
0F4F58C5D1BB57__no
2021-10-10T11:36:37happy5214Manual testing
859467678809
42655925849458223
889904112372299143417
0F4F58C5D1BB5707no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 240000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1250000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2021-10-23T08:27:54+00:00