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A096146
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Prime numerators of the rational convergents to sqrt(3).
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0
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2, 5, 7, 19, 71, 97, 3691, 191861, 138907099, 708158977, 26947261171
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OFFSET
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0,1
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COMMENTS
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Next term is too large to include.
This is the prime subsequence of A002531. See also A086386 for numerators where both numerator and denominator are primes. - Ray Chandler, Aug 01 2004
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LINKS
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Table of n, a(n) for n=0..10.
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PROG
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(PARI) \Continued fraction rational approximation of numeric constants f. m=steps. cfracnumprime(m, f) = { default(realprecision, 3000); cf = vector(m+10); x=f; for(n=0, m, i=floor(x); x=1/(x-i); cf[n+1] = i; ); for(m1=0, m, r=cf[m1+1]; forstep(n=m1, 1, -1, r = 1/r; r+=cf[n]; ); numer=numerator(r); denom=denominator(r); if(ispseudoprime(numer), print1(numer, ", ")); ) }
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CROSSREFS
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Cf. A002531, A082630, A086386.
Sequence in context: A106872 A071198 A041387 * A041583 A143915 A160820
Adjacent sequences: A096143 A096144 A096145 * A096147 A096148 A096149
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KEYWORD
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nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Jul 24 2004
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STATUS
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approved
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