is 2 2615983 - 1
has 787490 decimal digits
takes 0.202 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFBC886C4BDC632E4double-checked
PRPFF63BD1193801105PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26945.637568.1159%2615983261598300.43665.6927%46.074169.9310%1.8151%
PrimeNet2590.029462.7119%110002000000.00242.6979%0.031763.7179%1.0060%
GPU722630.610165.0794%120002000000.00251.5322%0.612665.6144%0.5351%
Difference+6+45.0273+3.0366%+2603983+25959830+0.4341+4.1605%+45.4615+4.3166%+1.2800%

Known prime factors (1 factor, 73.7 bits, 0.00281809% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2615983155643855035684796020092373.7212974863656141588
22 × 743715914035397
2021-07-1747437159140353971,264.34,537,8968,475,527

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-05-25T00:00:00ANONYMOUSv4_computers35000595000---0.007--1.209%
2011-01-19T23:50:00Jocelyn LaroucheManual testing5000050000---0.006--0.457%
2011-04-19T20:59:00James HeinrichWHS1750004243750---0.044--2.866%
2016-12-24T02:28:33Jocelyn Larouchelow 4M149299149299---0.017--0.909%
2016-12-24T22:38:21Jocelyn Larouchelow 4M179158179158---0.020--1.005%
2016-12-26T22:14:21Jocelyn Larouchelow 4M214989214989---0.024--1.107%
2017-04-22T17:25:08Jocelyn Larouchelow 4M35000035000006---0.058--3.043%
2019-10-06T14:23:40masserManual testing26159832615983012---0.437--5.693%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-19T07:24:26ATHec2-P_1250000017750000027--1.322


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:17Mark RoseManual testing259260--0.029--
2009-01-31T16:38:00Sturle Sundegonsha.ifi260261--0.059--
2012-06-22T20:33:00markroldgamer261262--0.117--
2013-01-14T11:55:00dbaughManual testing262263--0.375--
2015-02-18T11:41:00VictordeHollanderManual testing263264--0.751--
2015-02-18T11:41:00VictordeHollanderManual testing264265--1.428--
2016-01-17T23:07:14ramgeisManual testing265266--2.857--
2017-08-30T11:24:05Gordon SpenceManual testing266267--5.713--
2019-04-22T13:11:29TJAOIManual testing267268--11.43--
2021-05-27T10:38:24TJAOIManual testing268269--22.85--


ECM factoring results:
Total ECM effort:12.158 GHz-days
Estimated T-Level:22.091
DigitsB1CompleteFacMiss
20110004.4761.137%
25500000.41865.821%
302500000.02797.361%
3510000000.00199.873%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010711.03
50000675000020.237
766201000000050.892


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12T00:00:00ANONYMOUSv4_computersFBC886C4BDC632E40.202
1999-04-13T00:00:00ANONYMOUSv4_computersFBC886C4BDC632E40.202
2002-05-25T00:00:00ANONYMOUSv4_computersFBC886C4BDC632E40.202


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-18T12:20:20kutenssol
15564385503568479602009
FF63BD1193801105no


P-1 factor-bounds graph:
B1 = 2615983, B2 = 26159830 (P-1 stage 2)
B1 = 2615983 (P-1 stage 1)
B1 = 350000, B2 = 3500000 (P-1 stage 2)
B1 = 175000, B2 = 4243750 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 214989 (P-1 stage 1)
B1 = 179158 (P-1 stage 1)
B1 = 175000 (P-1 stage 1)
B1 = 149299 (P-1 stage 1)
B1 = 35000, B2 = 595000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-07-19T07:24:26+00:00