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 A265913 Values of Ramanujan's tau function that are prime. 2
 -80561663527802406257321747, -11695495424911987900947041440697, -261735233712444492786795215139587, -686681472061569603985711525865543, -8467957012200178807169459266490129, -205501290141049152491380112020976837, 4705942878159923138262416607648599521 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Here, negative integers whose absolute value is prime are considered prime. LINKS Dana Jacobsen, Table of n, a(n) for n = 1..1000 (first 23 terms from Eric W. Weisstein) Eric Weisstein's World of Mathematics, Tau Function Prime. FORMULA a(n) = A000594(A135430(n)). EXAMPLE A135430(1) = 63001, and tau(63001) = -80561663527802406257321747, so a(1) = -80561663527802406257321747. PROG (PARI) for (x=0, 1000, n=(2*x+1)^2; a=ramanujantau(n); if(isprime(abs(a)), print1(a", "))) \\ Dana Jacobsen, Dec 30 2015 (Perl) use ntheory ":all"; for (0..1000) { my \$n = (2*\$_+1)**2; my \$a = ramanujan_tau(\$n); say \$a if is_prime(abs(\$a)); } # Dana Jacobsen, Dec 30 2015 CROSSREFS Cf. A135430 (values of n for which tau(n) is prime). Cf. A000594 (Ramanujan's tau function tau(n)). Sequence in context: A338953 A345296 A272520 * A217425 A214266 A175274 Adjacent sequences: A265910 A265911 A265912 * A265914 A265915 A265916 KEYWORD sign AUTHOR Eric W. Weisstein, Dec 18 2015 STATUS approved

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Last modified September 15 13:15 EDT 2024. Contains 375938 sequences. (Running on oeis4.)