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 A089297 Maximum prime required in the representation of the square of the n-th prime A000040(n) by a signed sum of squares of distinct other primes minimizing the number of terms in the sum. 2
 29, 37, 19, 19, 19, 31, 19, 17, 19, 23, 29, 31, 31, 37, 37, 47, 43, 47, 53, 59, 59, 59, 71, 67, 71, 73, 79, 79, 83, 83, 97, 97, 101, 101, 109, 109, 127, 127, 127, 137, 139, 131, 149, 139, 151, 149, 163, 167, 191, 173, 167, 179, 179, 191, 191, 193, 193, 193, 199, 211 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(1) requires 6 squares, a(2) requires 8, a(3) requires 5 and a(4) through a(70) require 3. - David Wasserman, Sep 01 2005 LINKS T. Lassila, H. Pfoertner et al., Sum of unique prime squares? Thread in NG sci.math, Oct 21 2003. EXAMPLE The first representations different from those in A089296 are a(6)=31: 13^2 = 169 = 31^2 - 29^2 + 7^2 = -31^2 + 29^2 + 17^2 a(10)=23: 29^2 = 841 = 23^2 + 19^2 - 7^2 a(11)=29: 31^2 = 961 = 29^2 + 13^2 - 7^2 CROSSREFS Cf. A088934 representation of n by distinct squares of primes, A089296 representation of (n-th prime)^2 with maximum term minimized. Sequence in context: A172413 A134254 A089296 * A250291 A127956 A166088 Adjacent sequences:  A089294 A089295 A089296 * A089298 A089299 A089300 KEYWORD nonn AUTHOR Hugo Pfoertner, Nov 18 2003 EXTENSIONS More terms from David Wasserman, Sep 01 2005 STATUS approved

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Last modified July 22 16:43 EDT 2019. Contains 325225 sequences. (Running on oeis4.)