The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A029544 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A029544

Near Cullen numbers: k such that (k+1)*2^k + 1 is prime.
(history; published version)

#31 by Michel Marcus at Thu Jan 19 02:58:51 EST 2023

STATUS

reviewed

approved

#30 by Joerg Arndt at Thu Jan 19 02:07:01 EST 2023

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proposed

reviewed

#29 by Joerg Arndt at Thu Jan 19 02:06:58 EST 2023

STATUS

editing

proposed

#28 by Joerg Arndt at Thu Jan 19 02:06:53 EST 2023

COMMENTS

Primes of the form n+1 are 2, 3, 7, 67, ... - Juri-Stepan Gerasimov, Oct 02 2011

STATUS

proposed

editing

#27 by Michel Marcus at Thu Jan 19 01:35:33 EST 2023

STATUS

editing

proposed

#26 by Michel Marcus at Thu Jan 19 01:35:23 EST 2023

COMMENTS

Primes of the form n+1 are 2, 3, 7, 67, ... - _Juri-Stephan Stepan Gerasimov_, Oct 02 2011

STATUS

proposed

editing

#25 by Jon E. Schoenfield at Thu Jan 19 01:32:29 EST 2023

STATUS

editing

proposed

#24 by Jon E. Schoenfield at Thu Jan 19 01:32:23 EST 2023

COMMENTS

Primes in the sequence are 2, 5, 13, 1823, 96749, .. . - R. J. Mathar, Oct 15 2011

We can write (k+1)*2^k + 1 = {(k+1)/2}*4^{(k+1)/2} + 1, and when k is odd, this takes the form of a generalized Cullen prime (base 4). These are listed in A007646. In other words , {2*A007646 - 1} gives all the odd members terms of this sequence. - Jeppe Stig Nielsen, Oct 16 2019

STATUS

approved

editing

#23 by Alois P. Heinz at Wed Oct 16 11:59:57 EDT 2019

STATUS

reviewed

approved

#22 by Joerg Arndt at Wed Oct 16 11:34:17 EDT 2019

STATUS

proposed

reviewed