is 2 3046763 - 1
has 917168 decimal digits
takes 0.259 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-
PRP4C2CE804D1105C94verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.184868.1159%32543345185497066516.269812.6544%55.454672.1507%4.0347%
PrimeNet2600.050463.3333%120002200000.00292.5223%0.053364.2582%0.9248%
GPU722641.168265.6250%130002200000.00301.4307%1.171266.1168%0.4918%
Difference+5+38.0166+2.4909%+32530345+1854750665+16.2668+11.2238%+54.2834+6.0339%+6.0339%

Known prime factors (1 factor, 92.9 bits, 0.00304857% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
304676391298797836771077374896855192892.8831498291758117895572693
32 × 397 × 4787 × 415141 × 211010623
2021-04-12415141211010623626,536,1971.46722.6499

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.121%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.201%
2010-10-03T06:06:00markrtiny1100002420000---0.029--2.362%
2016-03-12T14:31:08Squeeky_SquirrelP4_2600205000568875012---0.062--3.206%
2017-09-09T22:08:43mikrMSI300000010000000012---1.022--7.405%
2021-04-12T17:58:45oodairacom5325433451854970665122892.88316.270.51932.5412.654%
2022-02-05T08:19:04Jocelyn LaroucheManual testing1000000119912100---0.923--6.846%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-21T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T04:10:00Sturle Sundegonsha.ifi260261--0.050--
2010-11-09T23:22:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.322--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.644--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.226--
2015-06-06T19:31:00ThaManual testing265266--2.453--
2017-05-07T02:13:04Gordon SpenceManual testing266267--4.905--
2022-01-20T22:37:59Jocelyn LaroucheManual testing267268--9.81--
2018-07-24T12:49:47ramgeisManual testing267268--9.81--
2021-03-25T10:40:25TJAOIManual testing268269--19.62--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.637 GHz-days
Estimated T-Level:2.850
DigitsB1CurvesCompleteFacMiss
201100057 / 1000.57056.391%
255000057 / 2800.20481.551%

New Calculation Method

Total ECM effort:6.637 GHz-days
Estimated T-Level:2.850
DigitsB1CompleteFacMiss
20110002.19211.166%
25500000.20381.640%
302500000.01398.729%


ECM Summary

B1B2factorcurvesGHz-days
500005000000576.637


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers4B02AB83FDBD59__0.259


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-13T13:36:41XZTN4640G2
9129879783677107737489685519
4C2CE804D1105C94no


P-1 factor-bounds graph:
B1 = 32543345, B2 = 1854970665 (P-1 stage 2)
B1 = 32543345 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 205000, B2 = 5688750 (P-1 stage 2)
B1 = 110000, B2 = 2420000 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-05T08:19:04+00:00