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Difference between revisions of "Cullen prime P 2"

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(add twins & Cullen prime references)
(remove already normalized Proth references (consistency))
 
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|CuNlist=
 
|CuNlist=
 
1;T:T;C:{{NPr|1|2}}, {{NCu|4|1}}, {{NCu|-|2}}
 
1;T:T;C:{{NPr|1|2}}, {{NCu|4|1}}, {{NCu|-|2}}
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2;T:T;C:{{NPr|3|2}}
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2;T:T
 
5;T:T;C:{{NPr|3|6}}, {{NCu|4|3}}
 
5;T:T;C:{{NPr|3|6}}, {{NCu|4|3}}
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6;C:{{NPr|7|6}}
+
6
 
13;C:{{NPr|7|14}}, {{NCu|4|7}}
 
13;C:{{NPr|7|14}}, {{NCu|4|7}}
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26;C:{{NPr|27|26}}
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26
 
65;C:{{NPr|33|66}}, {{NCu|4|33}}
 
65;C:{{NPr|33|66}}, {{NCu|4|33}}
−
66;C:{{NPr|67|66}}
+
66
−
86;C:{{NPr|87|86}}
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86
−
114;C:{{NPr|115|114}}
+
114
 
133;C:{{NPr|67|134}}, {{NCu|4|67}}
 
133;C:{{NPr|67|134}}, {{NCu|4|67}}
−
186;C:{{NPr|187|186}}
+
186
−
294;C:{{NPr|295|294}}
+
294
 
445;C:{{NPr|223|446}}, {{NCu|4|223}}
 
445;C:{{NPr|223|446}}, {{NCu|4|223}}
−
866;C:{{NPr|867|866}}
+
866
 
1325;C:{{NPr|663|1326}}, {{NCu|4|663}}
 
1325;C:{{NPr|663|1326}}, {{NCu|4|663}}
−
1478;C:{{NPr|1479|1478}}
+
1478
 
1823;C:{{NPr|57|1828}}, {{NCu|4|912}}
 
1823;C:{{NPr|57|1828}}, {{NCu|4|912}}
 
2765;C:{{NPr|1383|2766}}, {{NCu|4|1383}}
 
2765;C:{{NPr|1383|2766}}, {{NCu|4|1383}}
 
7553;33032;C:{{NPr|3777|7554}}, {{NCu|4|3777}}
 
7553;33032;C:{{NPr|3777|7554}}, {{NCu|4|3777}}
 
7943;32248;C:{{NPr|993|7946}}, {{NCu|4|3972}}
 
7943;32248;C:{{NPr|993|7946}}, {{NCu|4|3972}}
−
10178;C:{{NPr|10179|10178}}
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10178
−
20960;C:{{NPr|20961|20960}}
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20960
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20964;22305;C:{{NPr|20965|20964}}
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20964;22305
 
21337;C:{{NPr|10669|21338}}, {{NCu|4|10669}}
 
21337;C:{{NPr|10669|21338}}, {{NCu|4|10669}}
−
26562;19517;C:{{NPr|26563|26562}}
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26562;19517
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85374;6625;C:{{NPr|85375|85374}}
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85374;6625
 
96749;5614;C:{{NPr|48375|96750}}, {{NCu|4|48375}}
 
96749;5614;C:{{NPr|48375|96750}}, {{NCu|4|48375}}
−
247038;70608;C:{{NPr|247039|247038}}
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247038;70608
−
709946;93141;C:{{NPr|709947|709946}}
+
709946;93141
 
3480697;136235;C:{{NPr|1740349|3480698}}, {{NCu|4|1740349}}
 
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>See additional history at [https://harvey563.tripod.com/NearCullen_WoodallPrimes.txt Near-Cullen & Near-Woodall primes].<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, from {{NCu|4|n}}
 
{{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|1896000-2000000|Steven Harvey}}
−
{{HistC|2014-10-27|1896000|Steven Harvey}}
+
{{HistC|2014-10-27|1866000-1896000|Steven Harvey}}
−
{{HistC|2014-10-10|1866000|Steven Harvey}}
+
{{HistC|2014-10-10|1747000-1866000|Steven Harvey}}
−
{{HistC|2014-08-15|1747000|Steven Harvey}}
+
{{HistC|2014-08-15|1720000-1747000|Steven Harvey}}
−
{{HistC|2014-07-29|1720000|Steven Harvey}}
+
{{HistC|2014-07-29|1678000-1720000|Steven Harvey}}
−
{{HistC|2014-07-10|1678000|Steven Harvey}}
+
{{HistC|2014-07-10|1630000-1678000|Steven Harvey}}
−
{{HistC|2014-06-03|1630000|Steven Harvey}}
+
{{HistC|2014-06-03|1100000-1630000|Steven Harvey}}
 
{{HistC|2012-06-01|1100000|Steven Harvey}}
 
{{HistC|2012-06-01|1100000|Steven Harvey}}
 
{{HistF|2010-06-11|709946|Steven Harvey}}
 
{{HistF|2010-06-11|709946|Steven Harvey}}

Latest revision as of 00:34, 1 November 2024

Current data

ASCII format : (n+1)*2^n+1
Base : 2
Count : 31
Max n : 2,000,000
Date : 2023-07-14
1[1], 2[2], 5[3], 6, 13[4], 26, 65[5], 66, 86, 114, 133[6], 186, 294, 445[7], 866, 1325[8], 1478, 1823[9], 2765[10], 7553[11], 7943[12], 10178, 20960, 20964, 21337[13], 26562, 85374, 96749[14], 247038, 709946, 3480697[15]
Remarks :
The sequence A029544 in OEIS
See additional history at Near-Cullen & Near-Woodall primes.
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
  3. ↑ Twin n=5, Proth 3•26+1, Cullen 3•43+1
  4. ↑ Proth 7•214+1, Cullen 7•47+1
  5. ↑ Proth 33•266+1, Cullen 33•433+1
  6. ↑ Proth 67•2134+1, Cullen 67•467+1
  7. ↑ Proth 223•2446+1, Cullen 223•4223+1
  8. ↑ Proth 663•21326+1, Cullen 663•4663+1
  9. ↑ Proth 57•21828+1, Cullen 912•4912+1
  10. ↑ Proth 1383•22766+1, Cullen 1383•41383+1
  11. ↑ Proth 3777•27554+1, Cullen 3777•43777+1
  12. ↑ Proth 993•27946+1, Cullen 3972•43972+1
  13. ↑ Proth 10669•221338+1, Cullen 10669•410669+1
  14. ↑ Proth 48375•296750+1, Cullen 48375•448375+1
  15. ↑ Proth 1740349•23480698+1, Cullen 1740349•41740349+1

History

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