Near Generalized Cullen primes of the form `(n+1)`•2ⁿ+1

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

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Near Generalized Cullen primes of the form `(n+1)`•2ⁿ+1

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Near Generalized Cullen primes of the form (n+1)•2n+1

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Near Generalized Cullen primes of the form `(n+1)`•2ⁿ+1