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Difference between revisions of "Cullen prime P 2"

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(n=3480697, add OEIS & reference to Cullen base 4)
(add twins & Cullen prime references)
Line 5: Line 5:
 
|CuReserved=
 
|CuReserved=
 
|CuNlist=
 
|CuNlist=
−
1;C:{{NPr|1|2}}
+
1;T:T;C:{{NPr|1|2}}, {{NCu|4|1}}, {{NCu|-|2}}
−
2;C:{{NPr|3|2}}
+
2;T:T;C:{{NPr|3|2}}
−
5;C:{{NPr|3|6}}
+
5;T:T;C:{{NPr|3|6}}, {{NCu|4|3}}
 
6;C:{{NPr|7|6}}
 
6;C:{{NPr|7|6}}
−
13;C:{{NPr|7|14}}
+
13;C:{{NPr|7|14}}, {{NCu|4|7}}
 
26;C:{{NPr|27|26}}
 
26;C:{{NPr|27|26}}
−
65;C:{{NPr|33|66}}
+
65;C:{{NPr|33|66}}, {{NCu|4|33}}
 
66;C:{{NPr|67|66}}
 
66;C:{{NPr|67|66}}
 
86;C:{{NPr|87|86}}
 
86;C:{{NPr|87|86}}
 
114;C:{{NPr|115|114}}
 
114;C:{{NPr|115|114}}
−
133;C:{{NPr|67|134}}
+
133;C:{{NPr|67|134}}, {{NCu|4|67}}
 
186;C:{{NPr|187|186}}
 
186;C:{{NPr|187|186}}
 
294;C:{{NPr|295|294}}
 
294;C:{{NPr|295|294}}
−
445;C:{{NPr|223|446}}
+
445;C:{{NPr|223|446}}, {{NCu|4|223}}
 
866;C:{{NPr|867|866}}
 
866;C:{{NPr|867|866}}
−
1325;C:{{NPr|663|1326}}
+
1325;C:{{NPr|663|1326}}, {{NCu|4|663}}
 
1478;C:{{NPr|1479|1478}}
 
1478;C:{{NPr|1479|1478}}
−
1823;C:{{NPr|57|1828}}
+
1823;C:{{NPr|57|1828}}, {{NCu|4|912}}
−
2765;C:{{NPr|1383|2766}}
+
2765;C:{{NPr|1383|2766}}, {{NCu|4|1383}}
−
7553;33032;C:{{NPr|3777|7554}}
+
7553;33032;C:{{NPr|3777|7554}}, {{NCu|4|3777}}
−
7943;32248;C:{{NPr|993|7946}}
+
7943;32248;C:{{NPr|993|7946}}, {{NCu|4|3972}}
 
10178;C:{{NPr|10179|10178}}
 
10178;C:{{NPr|10179|10178}}
 
20960;C:{{NPr|20961|20960}}
 
20960;C:{{NPr|20961|20960}}
 
20964;22305;C:{{NPr|20965|20964}}
 
20964;22305;C:{{NPr|20965|20964}}
−
21337;C:{{NPr|10669|21338}}
+
21337;C:{{NPr|10669|21338}}, {{NCu|4|10669}}
 
26562;19517;C:{{NPr|26563|26562}}
 
26562;19517;C:{{NPr|26563|26562}}
 
85374;6625;C:{{NPr|85375|85374}}
 
85374;6625;C:{{NPr|85375|85374}}
−
96749;5614;C:{{NPr|48375|96750}}
+
96749;5614;C:{{NPr|48375|96750}}, {{NCu|4|48375}}
 
247038;70608;C:{{NPr|247039|247038}}
 
247038;70608;C:{{NPr|247039|247038}}
 
709946;93141;C:{{NPr|709947|709946}}
 
709946;93141;C:{{NPr|709947|709946}}
−
3480697;136235;C:{{NPr|1740349|3480698}}
+
3480697;136235;C:{{NPr|1740349|3480698}}, {{NCu|4|1740349}}
 
|CuRemarks=The {{OEIS|l|A029544}}<br>For additional odd {{Vn}} history, see {{NCu|4|n}}.
 
|CuRemarks=The {{OEIS|l|A029544}}<br>For additional odd {{Vn}} history, see {{NCu|4|n}}.
 
}}
 
}}
 
==History==
 
==History==
−
{{HistC|2023-07-14|1000000-4000000 only odd {{Vn}}|Ryan Propper|858785}}, released
+
{{HistC|2023-07-14|1000000-4000000 only odd {{Vn}}|Ryan Propper|858785}}, released, from {{NCu|4|n}}
 
{{HistF|2023-07-05|3480697|Ryan Propper|858708}}
 
{{HistF|2023-07-05|3480697|Ryan Propper|858708}}
 
{{HistC|2014-11-12|2000000|Steven Harvey}}
 
{{HistC|2014-11-12|2000000|Steven Harvey}}

Revision as of 07:27, 17 October 2024

Current data

Base : 2
Count : 31
Max n : 2,000,000
Date : 2023-07-14
1[1], 2[2], 5[3], 6[4], 13[5], 26[6], 65[7], 66[8], 86[9], 114[10], 133[11], 186[12], 294[13], 445[14], 866[15], 1325[16], 1478[17], 1823[18], 2765[19], 7553[20], 7943[21], 10178[22], 20960[23], 20964[24], 21337[25], 26562[26], 85374[27], 96749[28], 247038[29], 709946[30], 3480697[31]
Remarks :
The sequence A029544 in OEIS
For additional odd n history, see Cullen n•4n+1.

Notes

  1. ↑ Twin n=1, Proth 22+1, Cullen 41+1, Near Cullen 1•22+1
  2. ↑ Twin n=2, Proth 3•22+1
  3. ↑ Twin n=5, Proth 3•26+1, Cullen 3•43+1
  4. ↑ Proth 7•26+1
  5. ↑ Proth 7•214+1, Cullen 7•47+1
  6. ↑ Proth 27•226+1
  7. ↑ Proth 33•266+1, Cullen 33•433+1
  8. ↑ Proth 67•266+1
  9. ↑ Proth 87•286+1
  10. ↑ Proth 115•2114+1
  11. ↑ Proth 67•2134+1, Cullen 67•467+1
  12. ↑ Proth 187•2186+1
  13. ↑ Proth 295•2294+1
  14. ↑ Proth 223•2446+1, Cullen 223•4223+1
  15. ↑ Proth 867•2866+1
  16. ↑ Proth 663•21326+1, Cullen 663•4663+1
  17. ↑ Proth 1479•21478+1
  18. ↑ Proth 57•21828+1, Cullen 912•4912+1
  19. ↑ Proth 1383•22766+1, Cullen 1383•41383+1
  20. ↑ Proth 3777•27554+1, Cullen 3777•43777+1
  21. ↑ Proth 993•27946+1, Cullen 3972•43972+1
  22. ↑ Proth 10179•210178+1
  23. ↑ Proth 20961•220960+1
  24. ↑ Proth 20965•220964+1
  25. ↑ Proth 10669•221338+1, Cullen 10669•410669+1
  26. ↑ Proth 26563•226562+1
  27. ↑ Proth 85375•285374+1
  28. ↑ Proth 48375•296750+1, Cullen 48375•448375+1
  29. ↑ Proth 247039•2247038+1
  30. ↑ Proth 709947•2709946+1
  31. ↑ Proth 1740349•23480698+1, Cullen 1740349•41740349+1

History

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