Difference between revisions of "Cullen prime P 2"

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

History

2023-07-14: Checked n = 1000000 - 4000000 only odd n, Ryan Propper, released, from Cullen n•4ⁿ+1
2023-07-05: Found n = 3480697, Ryan Propper
2014-11-12: Checked n = 1896000 - 2000000, Steven Harvey
2014-10-27: Checked n = 1866000 - 1896000, Steven Harvey
2014-10-10: Checked n = 1747000 - 1866000, Steven Harvey
2014-08-15: Checked n = 1720000 - 1747000, Steven Harvey
2014-07-29: Checked n = 1678000 - 1720000, Steven Harvey
2014-07-10: Checked n = 1630000 - 1678000, Steven Harvey
2014-06-03: Checked n = 1100000 - 1630000, Steven Harvey
2012-06-01: Checked to n = 1100000, Steven Harvey
2010-06-11: Found n = 709946, Steven Harvey
2004-06-06: Found n = 247038, Steven Harvey
1999-07-10: Found n = 96749, Kazuyoshi Asao
1997-09-01: Found n = 85374, Henri Lifchitz
1997-09-01: Found n = 26562, Henri Lifchitz
1997-09-01: Found n = 20964, Henri Lifchitz
1989: Found n = 7943, Harvey Dubner
1989: Found n = 7553, Harvey Dubner

[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•2^3480698+1, Cullen 1740349•4^1740349+1

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

@@ Line 5: / Line 5: @@
 |CuReserved=
 |CuNlist=
-;C:{{NPr|1|2}}
+;T:T;C:{{NPr|1|2}}, {{NCu|4|1}}, {{NCu|-|2}}
-;C:{{NPr|3|2}}
+;T:T
-;C:{{NPr|3|6}}
+;T:T;C:{{NPr|3|6}}, {{NCu|4|3}}
-;C:{{NPr|7|6}}
-;C:{{NPr|7|14}}
+;C:{{NPr|7|14}}, {{NCu|4|7}}
-;C:{{NPr|27|26}}
-;C:{{NPr|33|66}}
+;C:{{NPr|33|66}}, {{NCu|4|33}}
-;C:{{NPr|67|66}}
-;C:{{NPr|87|86}}
-;C:{{NPr|115|114}}
-;C:{{NPr|67|134}}
+;C:{{NPr|67|134}}, {{NCu|4|67}}
-;C:{{NPr|187|186}}
-;C:{{NPr|295|294}}
-;C:{{NPr|223|446}}
+;C:{{NPr|223|446}}, {{NCu|4|223}}
-;C:{{NPr|867|866}}
-;C:{{NPr|663|1326}}
+;C:{{NPr|663|1326}}, {{NCu|4|663}}
-;C:{{NPr|1479|1478}}
-;C:{{NPr|57|1828}}
+;C:{{NPr|57|1828}}, {{NCu|4|912}}
-;C:{{NPr|1383|2766}}
+;C:{{NPr|1383|2766}}, {{NCu|4|1383}}
-;33032;C:{{NPr|3777|7554}}
+;33032;C:{{NPr|3777|7554}}, {{NCu|4|3777}}
-;32248;C:{{NPr|993|7946}}
+;32248;C:{{NPr|993|7946}}, {{NCu|4|3972}}
-;C:{{NPr|10179|10178}}
-;C:{{NPr|20961|20960}}
-;22305;C:{{NPr|20965|20964}}
+;22305
-;C:{{NPr|10669|21338}}
+;C:{{NPr|10669|21338}}, {{NCu|4|10669}}
-;19517;C:{{NPr|26563|26562}}
+;19517
-;6625;C:{{NPr|85375|85374}}
+;6625
-;5614;C:{{NPr|48375|96750}}
+;5614;C:{{NPr|48375|96750}}, {{NCu|4|48375}}
-;70608;C:{{NPr|247039|247038}}
+;70608
-;93141;C:{{NPr|709947|709946}}
+;93141
-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>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==
-{{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}}
-{{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}}
 {{HistF|2010-06-11|709946|Steven Harvey}}

Difference between revisions of "Cullen prime P 2"

Latest revision as of 00:34, 1 November 2024

Current data

Notes

History

Navigation menu

Personal tools

Namespaces

Variants

Views

More

Search

Navigation

Prime (direct)

Prime Wiki

Tools