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A161682 Primes that are not of the form x^3-y^2. +0
1
3, 5, 17, 29, 31, 37, 41, 43, 59, 73, 97, 101, 103, 113, 131, 137, 149, 157, 163, 173, 179, 181, 197, 211, 227, 229, 241 (list; graph; listen)
OFFSET

1,1

COMMENT

The current values are conjectural as they have been reduced from a finite list

of values x^3-y^2 within a search radius x,y < 10000.

Conjecture: The sequence is infinite.

FORMULA

A000040 \ A161681 .

PROGRAM

(PARI) diffcubesq(n) =

{

local(a, c=0, c2=0, j, k, y);

a=vector(floor(n^2/log(n^2)));

for(j=1, n,

for(k=1, n, y=j^3-k^2; if(ispseudoprime(y), c++; a[c]=y; ); );

);

a=vecsort(a);

for(j=2, c/2,

if(a[j]!=a[j-1], c2++; print1(a[j]", "); if(c2>100, break); );

);

}

CROSSREFS

Sequence in context: A032619 A030077 A058580 this_sequence A079373 A038703 A163586

Adjacent sequences: A161679 A161680 A161681 this_sequence A161683 A161684 A161685

KEYWORD

more,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)hotmail.com), Jun 16 2009

EXTENSIONS

Worthless link removed by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 16 2009

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Last modified December 20 13:54 EST 2009. Contains 171081 sequences.


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