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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: A253420 A271039 A061324 * A195808 A260838 A168626

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

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Last modified December 7 23:12 EST 2016. Contains 278900 sequences.