login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A089295 Positions of the records in A089294. First integer requiring a larger prime in its representation by (signed) sums of squares of distinct primes than all preceding integers. 1
0, 643, 1172, 2013, 2974, 4343, 6024, 7873, 10082, 12891, 16372, 20093, 24582, 29623, 34952, 41193, 48082, 56003, 65412, 75613, 86222, 97671, 109552, 122321, 138450, 155611, 174380, 193701, 215902, 238703, 263352, 289921, 317810, 347739 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(2)=643 was first given by Robert Israel.

LINKS

Table of n, a(n) for n=1..34.

Robert B. Israel, Sum of unique prime squares? Posting in NG sci.math.

EXAMPLE

a(1)=0=19^2-17^2-11^2+7^2 (0 already requires 19)

a(2)=643=23^2+19^2-13^2-7^2-5^2-2^2 (requires 23)

a(3)=1172=29^2+23^2-13^2-5^2-2^2

a(4)=2013=31^2+29^2+17^2-7^2-5^2-2^2

a(5)=2974=37^2+29^2+23^2+17^2-7^2-3^2+2^2=37^2+31^2+23^2+13^2-7^2-3^2+2^2

(two representations with the same maximum term)

CROSSREFS

Cf. A089294.

Sequence in context: A230715 A135384 A061324 * A195808 A168626 A216023

Adjacent sequences:  A089292 A089293 A089294 * A089296 A089297 A089298

KEYWORD

nonn

AUTHOR

W. Edwin Clark Nov 06 2003

EXTENSIONS

More terms from David Wasserman, Aug 31 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 23 22:48 EST 2014. Contains 249866 sequences.