A089295 - OEIS

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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.

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: A206378 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`

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Last modified May 24 14:45 EDT 2013. Contains 225624 sequences.