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A089296 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 largest prime used in the sum. 1
29, 37, 19, 19, 19, 19, 19, 17, 19, 19, 19, 23, 29, 29, 29, 31, 37, 37, 37, 41, 41, 43, 43, 43, 47, 47, 53, 53, 53, 53, 59, 61, 61, 61, 67, 67, 67, 71, 71, 71, 73, 73, 79, 79, 79, 79, 83, 89, 89, 89, 89, 97, 97, 97, 101, 101, 101, 101, 103, 103, 103, 103, 107, 107, 109 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..65.

T. Lassila, H. Pfoertner et al., Sum of unique prime squares? Thread in NG sci.math, Oct 21 2003.

EXAMPLE

a(1)=29: 2^2 = 4 = -29^2 + 19^2 + 17^2 + 11^2 + 7^2 + 5^2

a(2)=37: 3^2 = 9 = -37^2 + 23^2 + 19^2 + 17^2 + 11^2 + 7^2 + 5^2 + 2^2

a(3)=19: 5^2 = 25 = -19^2 + 17^2 + 13^2 - 11^2 + 7^2

a(4)=19: 7^2 = 49 = -19^2 + 17^2 + 11^2

CROSSREFS

Cf. A089294 representation of n by distinct squares of primes, A089297 representation of (n-th prime)^2 with minimal number of terms.

Sequence in context: A278329 A172413 A134254 * A089297 A250291 A127956

Adjacent sequences:  A089293 A089294 A089295 * A089297 A089298 A089299

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 18 21:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)