The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A139033

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a(1)=1; at n>=2, a(n) = least square > a(n-1) such that sum a(1)+...+a(n) is a prime number.
(history; published version)

#10 by Alois P. Heinz at Fri Jan 27 19:04:45 EST 2023

STATUS

editing

approved

#9 by Alois P. Heinz at Fri Jan 27 19:04:43 EST 2023

FORMULA

a(n) = A137326(n)^2.

CROSSREFS

Cf. A137326, A139034 (corresponding primes).

STATUS

approved

editing

#8 by Alois P. Heinz at Fri Jan 27 08:34:03 EST 2023

STATUS

editing

approved

#7 by Alois P. Heinz at Fri Jan 27 08:33:18 EST 2023

COMMENTS

Corresponding primes: ? 5,41,581,1301,1769,2309,4361,6089,15881,19049,20741,26249,44105 (A139034).

LINKS

Zak Seidov, <a href="/A139033/b139033.txt">Table of n, a(n) for n = 1..2000.</a>

CROSSREFS

Cf. A139034 (corresponding primes).

EXTENSIONS

Edited by Alois P. Heinz, Jan 27 2023

Discussion

Fri Jan 27

08:33

Alois P. Heinz: A139034 has to be corrected ...

#6 by Alois P. Heinz at Thu Jan 26 21:56:25 EST 2023

DATA

1, 4, 36, 576, 1296, 1764, 2304, 4356, 6084, 15876, 19044, 20736, 26244, 44100, 69696, 76176, 82944, 86436, 112896, 152100, 176400, 213444, 248004, 254016, 260100, 285156, 291600, 324900, 381924, 396900, 412164, 435600, 476100, 492804, 553536, 608400, 705600

Discussion

Thu Jan 26

22:00

Alois P. Heinz: 44105 = 5*8821 ...

#5 by Alois P. Heinz at Thu Jan 26 21:46:28 EST 2023

COMMENTS

Corresponding primes: ? 5,41,581,1301,1769,2309,4361,6089,15881,19049,20741,26249,44105 (A139034).

STATUS

approved

editing

Discussion

Thu Jan 26

21:48

Alois P. Heinz: Comment is not correct: 581, 1769, 4361, 19049, 20741, 44105 are not primes:

21:52

Alois P. Heinz: 1+4+36+576 = 617 and NOT 581 ...

21:54

Alois P. Heinz: ... and 617 is a prime ... 581 = 7*83 ...

#4 by Russ Cox at Fri Mar 30 17:26:27 EDT 2012

AUTHOR

_Zak Seidov (zakseidov(AT)yahoo.com), _, Apr 07 2008

Discussion

Fri Mar 30

17:26

OEIS Server: https://oeis.org/edit/global/139

#3 by N. J. A. Sloane at Thu Nov 11 07:34:06 EST 2010

LINKS

Zak Seidov, <a href="/A139033/b139033.txt">Table of n, a(n) for n = 1..2000.</a>

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

LINKS

Zak Seidov, <a href="http://www.research.att.com/~njas/sequences/b139033.txt">Table of n, a(n) for n = 1..2000.</a>

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

NAME

a(1)=1; at n>=2, a(n) = least square > a(n-1) such that sum a(1)+...+a(n) is a prime number.

DATA

OFFSET

1,2

COMMENTS

Corresponding primes: 5,41,581,1301,1769,2309,4361,6089,15881,19049,20741,26249,44105 (A139034).

LINKS

Zak Seidov, <a href="http://www.research.att.com/~njas/sequences/b139033.txt">Table of n, a(n) for n = 1..2000.</a>

MATHEMATICA

s={1}; su=1; Do[p=su+n^2; If[PrimeQ[p], su=p; AppendTo[s, n^2]], {n, 2, 120000}]; s

CROSSREFS

Cf. A139034.

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Apr 07 2008

STATUS

approved