is 2 2707591 - 1
has 815067 decimal digits
takes 0.209 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9B50F9BAEE25376Edouble-checked
PRP273B60504762EF60verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26944.093468.1159%60000060000000.10013.6926%44.193569.2933%1.1774%
PrimeNet2590.028462.7119%120002200000.00262.8445%0.031063.7725%1.0607%
GPU722630.589565.0794%140002200000.00281.6622%0.592365.6598%0.5804%
Difference+6+43.5039+3.0366%+586000+5780000+0.0973+2.0304%+43.6012+3.6335%+3.6335%

Known prime factors (1 factor, 71.9 bits, 0.00265523% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
270759143842622223867531405932271.893809624168197256
23 × 61 × 4517 × 367293761
2021-06-154517367293761286.532.24164.1857

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.194%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.672%
2010-12-16T22:40:00Jocelyn LaroucheManual testing2000020000---0.002--0.225%
2010-12-26T14:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.314%
2011-01-18T00:06:00Jocelyn LaroucheManual testing5000050000---0.006--0.460%
2011-03-30T02:51:00James HeinrichWHS3000008000000---0.081--3.598%
2018-08-06T19:34:56Jocelyn Larouchelow 4M60000060000006---0.100--3.693%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-30T18:20:00Sturle Sunderodolfo.ifi260261--0.057--
2012-04-29T14:41:00Grant McCrackenthumper261262--0.113--
2013-01-14T12:26:00dbaughManual testing262263--0.363--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.725--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.380--
2016-01-29T11:11:45ramgeisManual testing265266--2.760--
2017-09-29T00:40:43Gordon SpenceManual testing266267--5.520--
2019-02-11T01:15:28chuenkitManual testing267268--11.04--
2021-06-07T10:36:25TJAOIManual testing268269--22.08--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.956 GHz-days
Estimated T-Level:21.857
DigitsB1CurvesCompleteFacMiss
2011000104 / 1001.04035.161%
2550000104 / 2800.37168.929%

New Calculation Method

Total ECM effort:10.956 GHz-days
Estimated T-Level:21.857
DigitsB1CompleteFacMiss
20110003.3703.440%
25500000.30473.779%
302500000.01998.146%


ECM Summary

B1B2factorcurvesGHz-days
500005000030.179
5000050000009810.16
50000500000060.622


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers9B50F9BAEE25376E0.209
2018-08-01T14:58:28kkmrkkblmbrbkold9B50F9BAEE25376E0.209


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-16T14:42:22kutenssol
4384262222386753140593
273B60504762EF60no


P-1 factor-bounds graph:
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-06-16T14:42:22+00:00