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Difference between revisions of "Riesel prime 3 2"
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|Rk=2 | |Rk=2 | ||
|Rb=3 | |Rb=3 | ||
− | |RCount= | + | |RCount=38 |
|RNash=2685 | |RNash=2685 | ||
|RMaxn=2000000 | |RMaxn=2000000 | ||
− | |RDate= | + | |RDate=2024-08-01 |
|RReserved= | |RReserved= | ||
|RMultiRes= | |RMultiRes= | ||
|RNlist= | |RNlist= | ||
− | 1 | + | 1;T:T;C:{{NWo|+|3|1}} |
− | 2;C:{{NWo|3|2}} | + | 2;T:T;C:{{NWo|3|2}} |
− | 3 | + | 3;C:{{NWo|-|3|3}} |
7;C:{{NWo|3|6}} | 7;C:{{NWo|3|6}} | ||
− | 8;C:{{NWo|81|2}} | + | 8;C:{{NWo|81|2}}, {{NWo|-|3|7}} |
12;C:{{NWo|729|2}} | 12;C:{{NWo|729|2}} | ||
20;C:{{NWo|3|18}} | 20;C:{{NWo|3|18}} | ||
Line 19: | Line 19: | ||
27 | 27 | ||
35 | 35 | ||
− | 56 | + | 56;C:{{NWo|+|3|53}} |
62 | 62 | ||
68 | 68 | ||
Line 46: | Line 46: | ||
1063844;104556 | 1063844;104556 | ||
1360104;120178 | 1360104;120178 | ||
+ | 2834778;138366 | ||
|RRemarks=See [http://www.ams.org/journals/mcom/1972-26-120/S0025-5718-1972-0314747-X/S0025-5718-1972-0314747-X.pdf H.C.Williams, C.R.Zarnke: "Some prime numbers of the forms 2A3^n+1 and 2A3^n-1"] Math. Comp. 26 (1972), 995-998<br>The {{OEIS|l|A003307}}<br>See also {{NWi|MM|3|n}} | |RRemarks=See [http://www.ams.org/journals/mcom/1972-26-120/S0025-5718-1972-0314747-X/S0025-5718-1972-0314747-X.pdf H.C.Williams, C.R.Zarnke: "Some prime numbers of the forms 2A3^n+1 and 2A3^n-1"] Math. Comp. 26 (1972), 995-998<br>The {{OEIS|l|A003307}}<br>See also {{NWi|MM|3|n}} | ||
|RSieve= | |RSieve= | ||
}} | }} | ||
==History== | ==History== | ||
+ | {{HistF|2024-08-01|2834778|Ryan Propper}} | ||
{{HistC|2021-01-26|2000000|Borys Jaworski|570134}}, released | {{HistC|2021-01-26|2000000|Borys Jaworski|570134}}, released | ||
{{HistC|2020-04-04|2000000|Borys Jaworski|541720}} | {{HistC|2020-04-04|2000000|Borys Jaworski|541720}} | ||
− | {{HistC|2020-01-03|2000000|Borys Jaworski|534151}} | + | {{HistC|2020-01-03|1940000-2000000|Borys Jaworski|534151}} |
− | {{HistC|2019-10-05|1940000|Borys Jaworski|527377}} | + | {{HistC|2019-10-05|1930000-1940000|Borys Jaworski|527377}} |
− | {{HistC|2019-09-05|1930000|Borys Jaworski|525231}} | + | {{HistC|2019-09-05|1840000-1930000|Borys Jaworski|525231}} |
− | {{HistC|2019-03-01|1840000|Borys Jaworski|509799}} | + | {{HistC|2019-03-01|1810000-1840000|Borys Jaworski|509799}} |
− | {{HistC|2019-01-01|1810000|Borys Jaworski|504585}} | + | {{HistC|2019-01-01|1800000-1810000|Borys Jaworski|504585}} |
− | {{HistC|2018-11-30|1800000|Borys Jaworski|501366}} | + | {{HistC|2018-11-30|1780000-1800000|Borys Jaworski|501366}} |
− | {{HistC|2018-11-01|1780000|Borys Jaworski|499245}} | + | {{HistC|2018-11-01|1760000-1780000|Borys Jaworski|499245}} |
− | {{HistC|2018-09-02|1760000|Borys Jaworski|495144}} | + | {{HistC|2018-09-02|1720000-1760000|Borys Jaworski|495144}} |
− | {{HistC|2018-05-03|1720000|Borys Jaworski|486855}} | + | {{HistC|2018-05-03|1690000-1720000|Borys Jaworski|486855}} |
− | {{HistC|2018-02-02|1690000|Borys Jaworski|479098}} | + | {{HistC|2018-02-02|1680000-1690000|Borys Jaworski|479098}} |
− | {{HistC|2018-01-01|1680000|Borys Jaworski|475835}} | + | {{HistC|2018-01-01|1670000-1680000|Borys Jaworski|475835}} |
− | {{HistC|2017-12-02|1670000|Borys Jaworski|472955}} | + | {{HistC|2017-12-02|1660000-1670000|Borys Jaworski|472955}} |
− | {{HistC|2017-10-27|1660000|Borys Jaworski|470445}} | + | {{HistC|2017-10-27|1630000-1660000|Borys Jaworski|470445}} |
− | {{HistC|2017-07-02|1630000|Borys Jaworski|462571}} | + | {{HistC|2017-07-02|1610000-1630000|Borys Jaworski|462571}} |
− | {{HistC|2017-05-02|1610000|Borys Jaworski|458066}} | + | {{HistC|2017-05-02|1600000-1610000|Borys Jaworski|458066}} |
− | {{HistC|2017-04-01|1600000|Borys Jaworski|455930}} | + | {{HistC|2017-04-01|1570000-1600000|Borys Jaworski|455930}} |
− | {{HistC|2017-01-31|1570000|Borys Jaworski|451914}} | + | {{HistC|2017-01-31|1560000-1570000|Borys Jaworski|451914}} |
− | {{HistC|2017-01-01|1560000|Borys Jaworski|450240}} | + | {{HistC|2017-01-01|1550000-1560000|Borys Jaworski|450240}} |
{{HistC|2016-11-30|1550000|Borys Jaworski|448105}} | {{HistC|2016-11-30|1550000|Borys Jaworski|448105}} | ||
{{HistC|2016-11-01|1550000|Borys Jaworski|446236}} | {{HistC|2016-11-01|1550000|Borys Jaworski|446236}} | ||
{{HistC|2016-10-01|1550000|Borys Jaworski|443995}} | {{HistC|2016-10-01|1550000|Borys Jaworski|443995}} | ||
− | {{HistC|2016-08-31|1550000|Borys Jaworski|441259}} | + | {{HistC|2016-08-31|1540000-1550000|Borys Jaworski|441259}} |
− | {{HistC|2016-07-01|1540000|Borys Jaworski|437306}} | + | {{HistC|2016-07-01|1530000-1540000|Borys Jaworski|437306}} |
− | {{HistC|2016-06-01|1530000|Borys Jaworski|435321}} | + | {{HistC|2016-06-01|1510000-1530000|Borys Jaworski|435321}} |
− | {{HistC|2016-04-30|1510000|Borys Jaworski|432867}} | + | {{HistC|2016-04-30|1490000-1510000|Borys Jaworski|432867}} |
− | {{HistC|2016-03-31|1490000|Borys Jaworski|430460}} | + | {{HistC|2016-03-31|1480000-1490000|Borys Jaworski|430460}} |
− | {{HistC|2016-02-29|1480000|Borys Jaworski|427810}} | + | {{HistC|2016-02-29|1470000-1480000|Borys Jaworski|427810}} |
− | {{HistC|2016-02-01|1470000|Borys Jaworski|424796}} | + | {{HistC|2016-02-01|1450000-1470000|Borys Jaworski|424796}} |
− | {{HistC|2016-01-03|1450000|Borys Jaworski|421052}} | + | {{HistC|2016-01-03|1430000-1450000|Borys Jaworski|421052}} |
− | {{HistC|2015-11-30|1430000|Borys Jaworski|417816}} | + | {{HistC|2015-11-30|1420000-1430000|Borys Jaworski|417816}} |
− | {{HistC|2015-10-31|1420000|Borys Jaworski|414440}} | + | {{HistC|2015-10-31|1390000-1420000|Borys Jaworski|414440}} |
− | {{HistC|2015-08-31|1390000|Borys Jaworski|409295}} | + | {{HistC|2015-08-31|1350000-1390000|Borys Jaworski|409295}} |
− | {{HistF|2015-07-31|1360104|Borys Jaworski}} | + | {{HistF|2015-07-31|1360104|Borys Jaworski|407006}} |
{{HistC|2015-06-01|1350000|Borys Jaworski|403375}} | {{HistC|2015-06-01|1350000|Borys Jaworski|403375}} | ||
{{HistC|2015-05-01|1350000|Borys Jaworski|401416}} | {{HistC|2015-05-01|1350000|Borys Jaworski|401416}} | ||
− | {{HistC|2015-03-31|1350000|Borys Jaworski|399036}} | + | {{HistC|2015-03-31|1340000-1350000|Borys Jaworski|399036}} |
− | {{HistC|2015-02-28|1340000|Borys Jaworski|396676}} | + | {{HistC|2015-02-28|1330000-1340000|Borys Jaworski|396676}} |
− | {{HistC|2015-02-01|1330000|Borys Jaworski|394134}} | + | {{HistC|2015-02-01|1320000-1330000|Borys Jaworski|394134}} |
− | {{HistC|2015-01-03|1320000|Borys Jaworski|391520}} | + | {{HistC|2015-01-03|1300000-1320000|Borys Jaworski|391520}} |
− | {{HistC|2014-11-01|1300000|Borys Jaworski|386684}} | + | {{HistC|2014-11-01|1290000-1300000|Borys Jaworski|386684}} |
− | {{HistC|2014-09-30|1290000|Borys Jaworski|384129}} | + | {{HistC|2014-09-30|1270000-1290000|Borys Jaworski|384129}} |
− | {{HistC|2014-07-30|1270000|Borys Jaworski|379392}} | + | {{HistC|2014-07-30|1260000-1270000|Borys Jaworski|379392}} |
− | {{HistC|2014-06-30|1260000|Borys Jaworski|377076}} | + | {{HistC|2014-06-30|1250000-1260000|Borys Jaworski|377076}} |
− | {{HistC|2014-05-01|1250000|Borys Jaworski|372409}} | + | {{HistC|2014-05-01|1240000-1250000|Borys Jaworski|372409}} |
{{HistC|2014-03-31|1240000|Borys Jaworski|370057}} | {{HistC|2014-03-31|1240000|Borys Jaworski|370057}} | ||
− | {{HistC|2014-03-01|1240000|Borys Jaworski|368017}} | + | {{HistC|2014-03-01|1220000-1240000|Borys Jaworski|368017}} |
− | {{HistC|2013-11-30|1220000|Borys Jaworski|360731}} | + | {{HistC|2013-11-30|1210000-1220000|Borys Jaworski|360731}} |
− | {{HistC|2013-10-31|1210000|Borys Jaworski|358080}} | + | {{HistC|2013-10-31|1200000-1210000|Borys Jaworski|358080}} |
− | {{HistC|2013-09-30|1200000|Borys Jaworski|354690}} | + | {{HistC|2013-09-30|1190000-1200000|Borys Jaworski|354690}} |
{{HistC|2013-07-31|1190000|Borys Jaworski|347910}} | {{HistC|2013-07-31|1190000|Borys Jaworski|347910}} | ||
− | {{HistC|2013-07-01|1190000|Borys Jaworski|344949}} | + | {{HistC|2013-07-01|1180000-1190000|Borys Jaworski|344949}} |
{{HistC|2013-06-02|1180000|Borys Jaworski|342368}} | {{HistC|2013-06-02|1180000|Borys Jaworski|342368}} | ||
− | {{HistC|2013-04-01|1180000|Borys Jaworski|335709}} | + | {{HistC|2013-04-01|1170000-1180000|Borys Jaworski|335709}} |
{{HistC|2013-03-02|1170000|Borys Jaworski|331612}} | {{HistC|2013-03-02|1170000|Borys Jaworski|331612}} | ||
− | {{HistC|2013-01-31|1170000|Borys Jaworski|326844}} | + | {{HistC|2013-01-31|1150000-1170000|Borys Jaworski|326844}} |
{{HistC|2012-12-01|1150000|Borys Jaworski|320163}} | {{HistC|2012-12-01|1150000|Borys Jaworski|320163}} | ||
− | {{HistC|2012-11-01|1150000|Borys Jaworski|316587}} | + | {{HistC|2012-11-01|1140000-1150000|Borys Jaworski|316587}} |
− | {{HistC|2012-09-30|1140000|Borys Jaworski|313240}} | + | {{HistC|2012-09-30|1130000-1140000|Borys Jaworski|313240}} |
− | {{HistC|2012-08-30|1130000|Borys Jaworski|309790}} | + | {{HistC|2012-08-30|990000-1130000|Borys Jaworski|309790}} |
− | {{HistF|2012-02-12|1063844|Borys Jaworski}} | + | {{HistF|2012-02-12|1063844|Borys Jaworski|289137}} |
− | {{HistF|2011-09-01|1010743|Borys Jaworski}} | + | {{HistF|2011-09-01|1010743|Borys Jaworski|270574}} |
− | {{HistC|2009-04-12|570000|David Broadhurst}} | + | {{HistC|2011-09-01|315000-990000|Borys Jaworski|270574}} |
− | {{HistC|2009-03-09|189000 - 400000|David Broadhurst}} | + | {{HistC|2009-04-12|400000-570000|David Broadhurst}} |
+ | {{HistC|2009-03-09|189000-400000|David Broadhurst}} | ||
+ | {{HistC|2008-03-10|315000|Borys Jaworski|128327}} | ||
+ | {{HistC|2008-01-05|100000-150000?|Herman Jamke}} | ||
+ | {{HistC|2005-08-24|10000-100000?|T. D. Noe}} | ||
{{HistF|2004-08-15|147488|Ingo Buechel,Wilfrid Keller}} | {{HistF|2004-08-15|147488|Ingo Buechel,Wilfrid Keller}} | ||
{{HistF|2004-08-12|143552|Ingo Buechel,Wilfrid Keller}} | {{HistF|2004-08-12|143552|Ingo Buechel,Wilfrid Keller}} | ||
Line 121: | Line 127: | ||
{{HistF|2001-08-12|75551|Wilfrid Keller}} | {{HistF|2001-08-12|75551|Wilfrid Keller}} | ||
{{HistF|2001-06-30|49340|Wilfrid Keller}} | {{HistF|2001-06-30|49340|Wilfrid Keller}} | ||
− | {{ | + | {{HistC|1999-12-11|326-10000?|Douglas Burke}} |
+ | {{HistC|1972-10|1-325|Hugh C. Williams,Charles R. Zarnke}} |
Latest revision as of 01:44, 29 September 2024
Current data
|
|
Remarks : |
See H.C.Williams, C.R.Zarnke: "Some prime numbers of the forms 2A3^n+1 and 2A3^n-1" Math. Comp. 26 (1972), 995-998 The sequence A003307 in OEIS See also Williams 2•3n-1 |
Notes
History
- 2024-08-01: Found n = 2834778, Ryan Propper
- 2021-01-26: Checked to n = 2000000, Borys Jaworski, released
- 2020-04-04: Checked to n = 2000000, Borys Jaworski
- 2020-01-03: Checked n = 1940000 - 2000000, Borys Jaworski
- 2019-10-05: Checked n = 1930000 - 1940000, Borys Jaworski
- 2019-09-05: Checked n = 1840000 - 1930000, Borys Jaworski
- 2019-03-01: Checked n = 1810000 - 1840000, Borys Jaworski
- 2019-01-01: Checked n = 1800000 - 1810000, Borys Jaworski
- 2018-11-30: Checked n = 1780000 - 1800000, Borys Jaworski
- 2018-11-01: Checked n = 1760000 - 1780000, Borys Jaworski
- 2018-09-02: Checked n = 1720000 - 1760000, Borys Jaworski
- 2018-05-03: Checked n = 1690000 - 1720000, Borys Jaworski
- 2018-02-02: Checked n = 1680000 - 1690000, Borys Jaworski
- 2018-01-01: Checked n = 1670000 - 1680000, Borys Jaworski
- 2017-12-02: Checked n = 1660000 - 1670000, Borys Jaworski
- 2017-10-27: Checked n = 1630000 - 1660000, Borys Jaworski
- 2017-07-02: Checked n = 1610000 - 1630000, Borys Jaworski
- 2017-05-02: Checked n = 1600000 - 1610000, Borys Jaworski
- 2017-04-01: Checked n = 1570000 - 1600000, Borys Jaworski
- 2017-01-31: Checked n = 1560000 - 1570000, Borys Jaworski
- 2017-01-01: Checked n = 1550000 - 1560000, Borys Jaworski
- 2016-11-30: Checked to n = 1550000, Borys Jaworski
- 2016-11-01: Checked to n = 1550000, Borys Jaworski
- 2016-10-01: Checked to n = 1550000, Borys Jaworski
- 2016-08-31: Checked n = 1540000 - 1550000, Borys Jaworski
- 2016-07-01: Checked n = 1530000 - 1540000, Borys Jaworski
- 2016-06-01: Checked n = 1510000 - 1530000, Borys Jaworski
- 2016-04-30: Checked n = 1490000 - 1510000, Borys Jaworski
- 2016-03-31: Checked n = 1480000 - 1490000, Borys Jaworski
- 2016-02-29: Checked n = 1470000 - 1480000, Borys Jaworski
- 2016-02-01: Checked n = 1450000 - 1470000, Borys Jaworski
- 2016-01-03: Checked n = 1430000 - 1450000, Borys Jaworski
- 2015-11-30: Checked n = 1420000 - 1430000, Borys Jaworski
- 2015-10-31: Checked n = 1390000 - 1420000, Borys Jaworski
- 2015-08-31: Checked n = 1350000 - 1390000, Borys Jaworski
- 2015-07-31: Found n = 1360104, Borys Jaworski
- 2015-06-01: Checked to n = 1350000, Borys Jaworski
- 2015-05-01: Checked to n = 1350000, Borys Jaworski
- 2015-03-31: Checked n = 1340000 - 1350000, Borys Jaworski
- 2015-02-28: Checked n = 1330000 - 1340000, Borys Jaworski
- 2015-02-01: Checked n = 1320000 - 1330000, Borys Jaworski
- 2015-01-03: Checked n = 1300000 - 1320000, Borys Jaworski
- 2014-11-01: Checked n = 1290000 - 1300000, Borys Jaworski
- 2014-09-30: Checked n = 1270000 - 1290000, Borys Jaworski
- 2014-07-30: Checked n = 1260000 - 1270000, Borys Jaworski
- 2014-06-30: Checked n = 1250000 - 1260000, Borys Jaworski
- 2014-05-01: Checked n = 1240000 - 1250000, Borys Jaworski
- 2014-03-31: Checked to n = 1240000, Borys Jaworski
- 2014-03-01: Checked n = 1220000 - 1240000, Borys Jaworski
- 2013-11-30: Checked n = 1210000 - 1220000, Borys Jaworski
- 2013-10-31: Checked n = 1200000 - 1210000, Borys Jaworski
- 2013-09-30: Checked n = 1190000 - 1200000, Borys Jaworski
- 2013-07-31: Checked to n = 1190000, Borys Jaworski
- 2013-07-01: Checked n = 1180000 - 1190000, Borys Jaworski
- 2013-06-02: Checked to n = 1180000, Borys Jaworski
- 2013-04-01: Checked n = 1170000 - 1180000, Borys Jaworski
- 2013-03-02: Checked to n = 1170000, Borys Jaworski
- 2013-01-31: Checked n = 1150000 - 1170000, Borys Jaworski
- 2012-12-01: Checked to n = 1150000, Borys Jaworski
- 2012-11-01: Checked n = 1140000 - 1150000, Borys Jaworski
- 2012-09-30: Checked n = 1130000 - 1140000, Borys Jaworski
- 2012-08-30: Checked n = 990000 - 1130000, Borys Jaworski
- 2012-02-12: Found n = 1063844, Borys Jaworski
- 2011-09-01: Found n = 1010743, Borys Jaworski
- 2011-09-01: Checked n = 315000 - 990000, Borys Jaworski
- 2009-04-12: Checked n = 400000 - 570000, David Broadhurst
- 2009-03-09: Checked n = 189000 - 400000, David Broadhurst
- 2008-03-10: Checked to n = 315000, Borys Jaworski
- 2008-01-05: Checked n = 100000 - 150000?, Herman Jamke
- 2005-08-24: Checked n = 10000 - 100000?, T. D. Noe
- 2004-08-15: Found n = 147488, Ingo Buechel, Wilfrid Keller
- 2004-08-12: Found n = 143552, Ingo Buechel, Wilfrid Keller
- 2003-06-20: Found n = 128295, Ingo Buechel, Wilfrid Keller
- 2001-09-28: Found n = 90012, Wilfrid Keller
- 2001-08-12: Found n = 75551, Wilfrid Keller
- 2001-06-30: Found n = 49340, Wilfrid Keller
- 1999-12-11: Checked n = 326 - 10000?, Douglas Burke
- 1972-10: Checked n = 1 - 325, Hugh C. Williams, Charles R. Zarnke