A265913 Values of Ramanujan's tau function that are prime.
-80561663527802406257321747, -11695495424911987900947041440697, -261735233712444492786795215139587, -686681472061569603985711525865543, -8467957012200178807169459266490129, -205501290141049152491380112020976837, 4705942878159923138262416607648599521
Offset: 1
Keywords
Examples
A135430(1) = 63001, and tau(63001) = -80561663527802406257321747, so a(1) = -80561663527802406257321747.
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.
Crossrefs
Programs
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PARI
for (x=0, 1000, n=(2*x+1)^2; a=ramanujantau(n); if(isprime(abs(a)), print1(a", "))) \\ Dana Jacobsen, Dec 30 2015
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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
Comments