The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A224699 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A224699

a(n) = smallest k such that there is no square between prime(k) and prime(k+n).
(history; published version)

#16 by T. D. Noe at Tue Apr 16 15:40:52 EDT 2013

STATUS

editing

approved

#15 by T. D. Noe at Tue Apr 16 15:40:49 EDT 2013

DATA

1, 7, 12, 26, 49, 55, 106, 106, 163, 229, 229, 307, 343, 343, 394, 458, 655, 655, 655, 655, 758, 812, 1358, 1472, 1472, 1472, 1618, 1618, 1767, 2058, 2191, 2191, 2393, 2638, 2916, 3108, 3108, 3339, 3437, 3946, 4272, 4353, 4353, 5107, 5107, 5523, 5523, 5744, 5969, 6543, 6543, 6543, 7595, 7595, 7595, 7892, 7892, 7892

STATUS

approved

editing

#14 by OEIS Server at Tue Apr 16 15:40:26 EDT 2013

LINKS

Zak Seidov, <a href="/A224699/b224699_1.txt">Table of n, a(n) for n = 1..2000</a>

#13 by T. D. Noe at Tue Apr 16 15:40:26 EDT 2013

STATUS

proposed

approved

Discussion

Tue Apr 16

15:40

OEIS Server: Installed new b-file as b224699.txt.  Old b-file is now b224699_1.txt.

#12 by Zak Seidov at Tue Apr 16 12:51:45 EDT 2013

STATUS

editing

proposed

Discussion

Tue Apr 16

13:11

Joerg Arndt: Charles Greathouse should have a word about "nice"; I abstain...  ;-)

13:44

Zak Seidov: "Nice" is in the eye of the beholder :)

#11 by Zak Seidov at Tue Apr 16 12:45:51 EDT 2013

EXAMPLE

a(2000) = 19907242 because p = prime(19907242) = 371756971, q = prime(19907242 + 2000) = 371795461, and between p anq q there is no square: (19281^2 = 371756961) < p and (19282^2 = 371795524) > q.

STATUS

proposed

editing

#10 by Zak Seidov at Tue Apr 16 12:05:46 EDT 2013

STATUS

editing

proposed

#9 by Zak Seidov at Tue Apr 16 12:04:03 EDT 2013

COMMENTS

Is the The sequence is apparently infinite?.

#8 by Zak Seidov at Tue Apr 16 12:01:48 EDT 2013

LINKS

Zak Seidov, <a href="/A224699/b224699_1.txt">Table of n, a(n) for n = 1..10002000</a>

STATUS

proposed

editing

#7 by Bruno Berselli at Tue Apr 16 08:36:46 EDT 2013

STATUS

editing

proposed

Discussion

Tue Apr 16

09:32

Zak Seidov: nice?