The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A167054 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A167054

Values of A167053(k)-A167053(k-1)-1 not equal to 1.
(history; published version)

#11 by N. J. A. Sloane at Fri Sep 13 22:00:24 EDT 2019

STATUS

proposed

approved

#10 by Amiram Eldar at Fri Sep 13 09:03:58 EDT 2019

STATUS

editing

proposed

#9 by Amiram Eldar at Fri Sep 13 08:58:24 EDT 2019

NAME

Values of A167053(k) such that A167053(k)-A167053(k-1)-1 does not equal to 1.

DATA

15, 19, 39, 81, 165, 333, 41, 83, 167, 337, 673, 1347, 2721, 5457, 10941, 21897, 43821, 87705, 175437, 350893, 701797, 1403637, 2807281, 5614605, 11229313, 22458661, 44917341, 89834761, 179669553, 359339113, 718678341, 14373567371361, 2729, 5471, 10949, 21911, 43853, 87719, 175447, 350899, 701819, 1403641, 2807303, 5614657, 11229331, 22458671, 44917381, 89834777, 179669557, 359339171, 718678369

COMMENTS

All terms of the sequence are primes or products of twin primes (A037074).

EXTENSIONS

Data corrected and more More terms added by _from _Amiram Eldar_, Sep 13 2019

STATUS

proposed

editing

Discussion

Fri Sep 13

09:02

Amiram Eldar: Yes, I misunderstood the definition. What confused me was that the terms of A167053 and their differences have close values.

09:03

Amiram Eldar: I reverted the edits. Now it is just 8 more terms and a keyword "more".

#8 by Amiram Eldar at Fri Sep 13 04:22:29 EDT 2019

STATUS

editing

proposed

Discussion

Fri Sep 13

04:41

Michel Marcus: maybe talk with Richard ?

04:54

Amiram Eldar: I have sent him an e-mail. Let's wait.

08:38

R. J. Mathar: Amiram misunderstood the definition: the values in this squence are the differences, as spelled out in my definition. So 41 is there because 81-39-1=41. 83 is there because 165-81-1=83 etc. Please revert these edits.

08:47

R. J. Mathar: On a second thought, I guess I thought to preserve Vladimir's original submission of the first 2 entries as far as possible back then, and ran into the same problem that it is not clear what he wanted to show in this sequence. Vladimir's submissions at that time were all calculated by hand and usually started to be incorrected at early indices.... so whatever is needed to resolve this discrepancy i s fine with me.

#7 by Amiram Eldar at Fri Sep 13 04:15:42 EDT 2019

COMMENTS

All terms of the sequence are primes or products of twin primes (A037074).

Discussion

Fri Sep 13

04:17

Amiram Eldar: The name and data were not consistent. While the comment was correct for the previous data, I don't see a way to change the definition in a way that all the data will be kept, or in a way that the comment will be still correct.

#6 by Amiram Eldar at Fri Sep 13 02:58:30 EDT 2019

NAME

Values of A167053(k) such that A167053(k)-A167053(k-1)-1 does not equal to 1.

DATA

15, 19, 41, 83, 167, 337, 39, 81, 165, 333, 673, 1361, 2729, 5471, 10949, 21911, 43853, 87719, 175447, 350899, 701819, 1403641, 28073031347, 2721, 5457, 10941, 21897, 43821, 87705, 175437, 350893, 701797, 1403637, 2807281, 5614605, 11229313, 22458661, 44917341, 89834761, 179669553, 359339113, 718678341, 1437356737

EXTENSIONS

Data corrected and more terms added by Amiram Eldar, Sep 13 2019

#5 by Amiram Eldar at Fri Sep 13 02:48:16 EDT 2019

KEYWORD

nonn,more

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 18:52:53 EDT 2012

AUTHOR

_Vladimir Shevelev (shevelev(AT)bgu.ac.il), _, Oct 27 2009

Discussion

Fri Mar 30

18:52

OEIS Server: https://oeis.org/edit/global/261

#3 by Russ Cox at Fri Mar 30 17:40:11 EDT 2012

EXTENSIONS

Values from a(3) on replaced by _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, Dec 17 2009

Discussion

Fri Mar 30

17:40

OEIS Server: https://oeis.org/edit/global/190

#2 by N. J. A. Sloane at Sat Oct 02 03:00:00 EDT 2010

CROSSREFS

Cf. A167053, A166944, A166945, A163960, A116533, A163961, A163963, A084662, A084663, A106108, A132199, A134162, A135506, A135508, A118679, A120293

KEYWORD

nonn,new

nonn