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Revision History for A067756

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Showing entries 1-10 | older changes
Prime hypotenuses of Pythagorean triangles with a prime leg.
(history; published version)
#60 by N. J. A. Sloane at Mon Jan 29 19:10:34 EST 2024
STATUS

reviewed

approved

#59 by Andrew Howroyd at Mon Jan 29 19:06:27 EST 2024
STATUS

proposed

reviewed

#58 by Jon E. Schoenfield at Mon Jan 29 19:02:59 EST 2024
STATUS

editing

proposed

#57 by Jon E. Schoenfield at Mon Jan 29 19:02:38 EST 2024
COMMENTS

Every term of the sequence after the second is a prime p congruent to 1 (mod 60), i.e., for n > 2, a(n) is a subsequence of A088955. The Pythagorean triple is {sqrt(2p-1), p-1, p}. - Lekraj Beedassy, Mar 12 2002

Other, larger, The other (i.e., long) leg of the Pythagorean triangle is p-1. - Zak Seidov, Oct 30 2015

LINKS

Andreas Boe and Robert Israel, <a href="/A067756/b067756.txt">Table of n, a(n) for n = 1..10000</a> (first 184 terms from Andreas Boe)

EXAMPLE

For pa(1)=5, the right triangle is 3, 4, 5 is the smallest with 3 and 5 prime.

For pa(10)=5101, the right triangle is 101, 5100, 5101 with 101 and 5101 prime.

STATUS

approved

editing

Discussion
Mon Jan 29
19:02
Jon E. Schoenfield: Okay?
#56 by OEIS Server at Mon Jun 24 15:35:36 EDT 2019
LINKS

Andreas Boe and Robert Israel, <a href="/A067756/b067756_3.txt">Table of n, a(n) for n = 1..10000</a> (first 184 terms from Andreas Boe)

#55 by Ray Chandler at Mon Jun 24 15:35:36 EDT 2019
STATUS

editing

approved

Discussion
Mon Jun 24
15:35
OEIS Server: Installed new b-file as b067756.txt.  Old b-file is now b067756_3.txt.
#54 by Ray Chandler at Mon Jun 24 15:32:56 EDT 2019
LINKS

Andreas Boe and Robert Israel, <a href="/A067756/b067756_3.txt">Table of n, a(n) for n = 01..10000</a> (0 to 183 first 184 terms from Andreas Boe).

Discussion
Mon Jun 24
15:35
Ray Chandler: Change offset to 1 with email permission from NJAS who could not recall why this sequence was an exception to the index=1 for list rule.
#53 by Ray Chandler at Mon Jun 24 15:30:43 EDT 2019
OFFSET

0,1,1

COMMENTS

The offset probably should be 1, but this sequence is exceptional and has offset 0. Please do not change it! - N. J. A. Sloane, Sep 30 2014

STATUS

approved

editing

#52 by N. J. A. Sloane at Sat Oct 31 14:10:44 EDT 2015
STATUS

proposed

approved

#51 by Jon E. Schoenfield at Sat Oct 31 00:56:56 EDT 2015
STATUS

editing

proposed