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Difference between revisions of "Woodall prime 4"

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m (Karbon moved page Gen Woodall prime 4 to Woodall prime 4 without leaving a redirect: renamed)
(add history & remarks, reference near Woodall sequence)
 
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293912;89940;C:{{NRi|36739|587827}}, {{NWo|+|587823}}
 
293912;89940;C:{{NRi|36739|587827}}, {{NWo|+|587823}}
 
1993191;119835;C:{{NRi|1993191|3986382}}, {{NWo|+|3986381}}
 
1993191;119835;C:{{NRi|1993191|3986382}}, {{NWo|+|3986381}}
−
|WoRemarks=The {{OEIS|l|A086661}}
+
|WoRemarks=The {{OEIS|l|A086661}}<br>See early history at [https://harvey563.tripod.com/GWNews.txt Generalized Woodall news], [https://harvey563.tripod.com/GeneralizedWoodallPrimes.txt Generalized Woodall primes], & [https://harvey563.tripod.com/gwranges.txt Generalized Woodall completed ranges].<br>Sequence is the same as [[Woodall prime P 2|Near Woodall ({{Vn}}+1)*2^{{Vn}}-1]] for odd {{Vn}}.
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistC|2015-05-01|1000000-2000000|Serge Batalov}}
 
{{HistF|2015-05-01|1993191|Serge Batalov}}
 
{{HistF|2015-05-01|1993191|Serge Batalov}}
 +
{{HistC|2014-05-29|608749-1000000|Steven Harvey}}
 +
{{HistC|2014-03-13|25000|Steven Harvey}}, double-check
 +
{{HistC|2012-10-10|25000|Thomas Ritschel}}
 +
{{HistC|2011-09-09|532007-608749|Steven Harvey}}
 +
{{HistC|2009-10-09|282500-317900|Steven Harvey}}
 
{{HistF|2009-09-11|293912|Steven Harvey}}
 
{{HistF|2009-09-11|293912|Steven Harvey}}
 +
{{HistC|2009-01-03|520000-532007|Thomas Wolter}}
 +
{{HistC|2007-11-29|425000-520000|Thomas Wolter}}
 +
{{HistC|2005-11-27|250000-282500, 335200-425000|Thomas Wolter}}, released
 +
{{HistR|2005-01-21|Thomas Wolter}} to {{Rn|400000|400000}}
 +
{{HistC|2005-01-03|5000-10000|Mark Rodenkirch}}
 +
{{HistC|2004-12-28|317900-335200|Thomas Wolter}}
 +
{{HistR|2004-12-21|Mark Rodenkirch}} to {{Rn|10000|10000}}
 +
{{HistC|2004-12-21|3-5000|Mark Rodenkirch}}
 +
{{HistR|2004-12-15|Mark Rodenkirch}} to {{Rn|6000|6000}}
 +
{{HistR|2004-12-03|Mark Rodenkirch}} to {{Rn|5000|5000}}
 +
{{HistC|2004-09-20|250000|Steven Harvey}}
 +
{{HistR|2004-09-15|Thomas Wolter}} to {{Rn|300000|300000}}
 +
{{HistR|2004-03-30|Steven Harvey}} to {{Rn|250000|250000}}
 
{{HistF|2000-07-28|113570|Ray Ballinger}}
 
{{HistF|2000-07-28|113570|Ray Ballinger}}
 
{{HistF|2000-05-19|79574|Ray Ballinger}}
 
{{HistF|2000-05-19|79574|Ray Ballinger}}

Latest revision as of 09:07, 17 October 2024

Current data

Base : 4
Count : 21
Max n : 2,000,000
Date : 2015
1[1], 2[2], 3[3], 5[4], 8[5], 14[6], 23[7], 63[8], 107[9], 132[10], 428[11], 530[12], 1137[13], 1973[14], 2000[15], 7064[16], 20747[17], 79574[18], 113570[19], 293912[20], 1993191[21]
Remarks :
The sequence A086661 in OEIS
See early history at Generalized Woodall news, Generalized Woodall primes, & Generalized Woodall completed ranges.
Sequence is the same as Near Woodall (n+1)*2^n-1 for odd n.

Notes

  1. ↑ Twin n=1, Mersenne 22-1, Near Woodall 2•21-1, Near Woodall 1•22-1
  2. ↑ Mersenne 25-1, Near Woodall 4•23-1
  3. ↑ Twin n=3, Riesel 3•26-1, Near Woodall 6•25-1
  4. ↑ Riesel 5•210-1, Near Woodall 10•29-1
  5. ↑ Mersenne 219-1, Near Woodall 16•215-1
  6. ↑ Riesel 7•229-1, Near Woodall 28•227-1
  7. ↑ Riesel 23•246-1, Near Woodall 46•245-1
  8. ↑ Riesel 63•2126-1, Near Woodall 126•2125-1
  9. ↑ Riesel 107•2214-1, Near Woodall 214•2213-1
  10. ↑ Riesel 33•2266-1, Near Woodall 264•2263-1
  11. ↑ Riesel 107•2858-1, Near Woodall 856•2855-1
  12. ↑ Riesel 265•21061-1, Near Woodall 1060•21059-1
  13. ↑ Riesel 1137•22274-1, Near Woodall 2274•22273-1
  14. ↑ Riesel 1973•23946-1, Near Woodall 3946•23945-1
  15. ↑ Riesel 125•24004-1, Near Woodall 4000•23999-1
  16. ↑ Riesel 883•214131-1, Near Woodall 14128•214127-1
  17. ↑ Riesel 20747•241494-1, Near Woodall 41494•241493-1
  18. ↑ Riesel 39787•2159149-1, Near Woodall 159148•2159147-1
  19. ↑ Riesel 56785•2227141-1, Near Woodall 227140•2227139-1
  20. ↑ Riesel 36739•2587827-1, Near Woodall 587824•2587823-1
  21. ↑ Riesel 1993191•23986382-1, Near Woodall 3986382•23986381-1

History

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