Difference between revisions of "Cullen prime P 2"

Revision as of 09:29, 17 October 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^[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
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, 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•2^3480698+1, Cullen 1740349•4^1740349+1

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@@ Line 36: / Line 36: @@
 ;93141;C:{{NPr|709947|709946}}
 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, 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"

Revision as of 09:29, 17 October 2024

Current data

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