is 2 4721 - 1
has 1422 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L1C942BA6878F8910double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2676,293.988080.5970%30000000000240000000000014.023322.1709%6,308.0113102.7679%35.2679%
PrimeNet2400.000067.5000%500100000.00002.5009%0.000070.0009%2.5009%
GPU722440.000570.4545%500100000.00001.0005%0.000571.4550%1.0005%
Difference+23+6,293.9875+10.1425%+29999999500+2399999990000+14.0233+21.1704%+6,308.0108+31.3128%+31.3128%

Known prime factors:
No known factors for M4,721

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-11T00:00:00ANONYMOUSv4_computers1000000100000000---0.001--3.818%
2001-06-17T00:00:00ANONYMOUSv4_computers430000004290000000---0.024--9.803%
2001-07-17T00:00:00ANONYMOUSv4_computers30000000004290000000---0.271--10.879%
2002-06-02T00:00:00ANONYMOUSv4_computers10737418244290000000---0.110--10.919%
2002-08-10T00:00:00ANONYMOUSv4_computers21474836484290000000---0.200--10.913%
2002-09-22T00:00:00ANONYMOUSv4_computers32212254724290000000---0.289--10.869%
2003-01-09T00:00:00ANONYMOUSv4_computers42900000002147483647---0.378--10.820%
2011-04-29T22:30:00Jocelyn LaroucheManual testing100000000002147483647---0.881--12.215%
2015-02-12T23:36:00JayderHPJared2560040779163842609831---1.000--16.997%
2016-04-17T11:27:03mikrColorovo30000000000240000000000012---14.02--22.171%
2016-11-26T01:37:25ANONYMOUSManual testing100000000000100000000000012---13.13--20.683%


P+1 Factoring results:
dateuseridcompidb1b2startfactordigitsbits*ghz-days
2021-05-13T04:43:36ATH5960X100000000024100000000027--1.317


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-30T00:00:00ANONYMOUSv4_computers252253--0.127--
1999-12-30T00:00:00ANONYMOUSv4_computers253254--0.254--
2000-02-16T00:00:00ANONYMOUSv4_computers254255--0.508--
2000-08-17T00:00:00ANONYMOUSv4_computers?256--2.033--
2003-01-09T00:00:00ANONYMOUSv4_computers?257--4.067--
2016-02-23T04:50:30LaurVManual testing257258--4.067--
2011-01-25T16:36:00monstManual testing258260--24.40--
2012-09-29T16:29:00bcp19Manual testing260261--32.53--
2015-06-21T17:20:00Sid & AndyWoody261262--65.07--
2016-12-02T12:42:25snme2pm1G1262263--207.9--
2018-08-25T00:03:41snme2pm1g10263264--415.9--
2021-02-04T07:29:35Ruslan BorisovManual testing264265--791.4--


ECM factoring results:
Total ECM effort:151,156.042 GHz-days
Estimated T-Level:44.178
DigitsB1CurvesCompleteFacMiss
201100010905 / 100109.0500.000%
255000010905 / 28038.9460.000%
3025000010625 / 64016.6020.000%
3510000009985 / 15806.3200.180%
4030000008105 / 47001.72417.824%
45110000008105 / 97000.83643.361%
50440000008105 / 171000.47462.251%
551100000007726 / 465000.16684.692%
602600000003882 / 1120000.03596.593%
658000000001901 / 3600000.00599.473%

ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.018
250000250000006400.203
10000001000000001,8802.384
44000000429000000020011.07
4400000044000000001799.99
110000000110000000001,844257.2
1100000009005141537822,0007,617
2600000002600000000010133.30
26000000031785598845161,88025,068
850000000148993823979181,900118,155
various11.0779


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testing1C942BA6878F89102.86932e-7


PRP results:
Exponent "4721" not found


P-1 factor-bounds graph:
B1 = 30000000000, B2 = 2400000000000 (stage 2)
B1 = 100000000000, B2 = 1000000000000 (stage 2)
B1 = 100000000000 (stage 1)
B1 = 30000000000 (stage 1)
B1 = 2560040779, B2 = 163842609831 (stage 2)
B1 = 10000000000 (stage 1)
B1 = 4290000000 (stage 1)
B1 = 3221225472, B2 = 4290000000 (stage 2)
B1 = 3221225472 (stage 1)
B1 = 3000000000, B2 = 4290000000 (stage 2)
B1 = 3000000000 (stage 1)
B1 = 2560040779 (stage 1)
B1 = 2147483648, B2 = 4290000000 (stage 2)
B1 = 2147483648 (stage 1)
B1 = 1073741824, B2 = 4290000000 (stage 2)
B1 = 1073741824 (stage 1)
B1 = 43000000, B2 = 4290000000 (stage 2)
B1 = 43000000 (stage 1)
B1 = 1000000, B2 = 100000000 (stage 2)
B1 = 1000000 (stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-13T04:43:36+00:00