id:A089294 - OEIS Search Results

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Smallest prime p_k such that n can be written as a "plus-minus" sum n=sum_(i=1..k)e_i*(p_i)^2 with distinct primes p_i<=p_k, where e_i is 1 or -1.

+0
4

19, 13, 19, 13, 2, 3, 13, 19, 13, 3, 13, 7, 5, 3, 13, 7, 5, 13, 13, 7, 5, 5, 13, 13, 7, 5, 13, 13, 7, 5, 5, 13, 13, 7, 5, 13, 7, 7, 5, 13, 7, 17, 11, 11, 7, 7, 17, 11, 13, 7, 17, 11, 11, 7, 7, 17, 11, 13, 7, 11, 11, 7, 7, 11, 13, 7, 17, 11, 11, 7, 7, 17, 11, 13, 7, 17, 11, 11, 7, 7, 17, 11 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`The first terms where this sequence differs from A088934 are n=22,31,52,87,89,98,118,127,...`
	EXAMPLE	`a(22)=13 because 22 can be represented as -13^2+11^2+7^2+5^2-2^2.` `The corresponding representation with the minimum number of terms is` `22=19^2-13^2-11^2-7^2 (A088934(22)=19, A088910(22)=4 terms)`
	CROSSREFS	`The positions of the records in this sequence are given in A089295. Cf. A088910, A088934.` `Sequence in context: A166525 A083156 A040344 this_sequence A088934 A155848 A088399` `Adjacent sequences: A089291 A089292 A089293 this_sequence A089295 A089296 A089297`
	KEYWORD	`nonn`
	AUTHOR	`W. Edwin Clark (eclark(AT)math.usf.edu) Nov 06 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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