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Revision History for A213353 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
A213353
A subset of numbers n such that n^4 is a Sierpinski number.
(history; published version)
#17 by Bruno Berselli at Sat Apr 19 17:23:22 EDT 2014
STATUS

proposed

approved

#16 by Arkadiusz Wesolowski at Sat Apr 19 09:53:19 EDT 2014
STATUS

editing

proposed

#15 by Arkadiusz Wesolowski at Sat Apr 19 09:53:13 EDT 2014
CROSSREFS

Subset of A233469. Cf. A076336.

STATUS

approved

editing

#14 by T. D. Noe at Wed Oct 30 12:54:25 EDT 2013
STATUS

editing

approved

#13 by T. D. Noe at Wed Oct 30 12:53:38 EDT 2013
MATHEMATICA

(* even if nn is increased, no additional terms are generated *) nn = 14; lst = {}; n = 44745755; p = 2^12; m = 3*(p^4 - 1)/(p - 1); Do[a = n + (-1)^c*m; n = a/GCD[a, p]; AppendTo[lst, Abs@n], {c, 0, 14nn}]; SortUnion@lst

STATUS

proposed

editing

Discussion
Wed Oct 30
12:54
T. D. Noe: I see. Thanks. I changed the program slightly.
#12 by Arkadiusz Wesolowski at Wed Oct 30 11:13:29 EDT 2013
STATUS

editing

proposed

Discussion
Wed Oct 30
11:28
T. D. Noe: Did you read the Izotov paper?
12:10
Arkadiusz Wesolowski: There are infinitely many Sierpinski numbers of the form n^4, but this is a finite sequence (subset). What is wrong?
12:20
T. D. Noe: Do you mean that there are other n such that n^4 is a Sierpinski number?
12:21
T. D. Noe: Note that the Mma code produces more numbers if you increase 14.
12:23
Arkadiusz Wesolowski: One moment, please.
12:37
Arkadiusz Wesolowski: - the code is O.K. (produces only 15 distinct numbers, c > 14)
12:37
Arkadiusz Wesolowski: - a(15) = 103126759951, but there may be smaller ones
#11 by Arkadiusz Wesolowski at Wed Oct 30 10:59:45 EDT 2013
NAME

A finite set subset of numbers n such that n^4 is a Sierpinski number.

Discussion
Wed Oct 30
11:13
Arkadiusz Wesolowski: a finite SUBset!
#10 by T. D. Noe at Tue Oct 29 14:49:59 EDT 2013
STATUS

proposed

editing

#9 by Arkadiusz Wesolowski at Sun Oct 27 14:25:01 EDT 2013
STATUS

editing

proposed

Discussion
Tue Oct 29
12:43
T. D. Noe: The paper by Izotov seems (to me) to say that there are an infinite number. Please look again.
#8 by Arkadiusz Wesolowski at Sun Oct 27 14:22:37 EDT 2013
NAME

Numbers A finite set of numbers n such that n^4 is a Sierpinski number.

KEYWORD

hard,nonn

nonn,easy,fini,full

STATUS

approved

editing

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