id:A089295 - OEIS Search Results

Search: id:A089295

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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
2

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; listen)

	OFFSET	`1,2`
	COMMENT	`a(2)=643 was first given by Robert B. Israel (israel(AT)math.ubc.edu).`
	LINKS	`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: A106488 A135384 A061324 this_sequence A100873 A063844 A067845` `Adjacent sequences: A089292 A089293 A089294 this_sequence A089296 A089297 A089298`
	KEYWORD	`nonn`
	AUTHOR	`W. Edwin Clark (eclark(AT)math.usf.edu) Nov 06 2003`
	EXTENSIONS	`More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Aug 31 2005`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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