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A038543
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Primes p such that Ramanujan function tau(p) is divisible by 13.
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2
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7, 11, 157, 179, 229, 281, 461, 563, 617, 757, 839, 911, 1049, 1129, 1237, 1259, 1489, 1741, 2129, 2239, 2281, 2423, 2477, 2699, 2843, 2963, 3307, 3347, 3527, 3643, 3659, 3701, 3943, 4057, 4079, 4099, 4129, 4523, 4789, 4799, 5179, 5347
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OFFSET
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1,1
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REFERENCES
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Robert A. Rankin, Ramanujan's tau-function and its generalizations, in: G. E. Andrews et al. (eds.), Ramanujan Revisited, Proceedings of the Centenary Conference, University of Illinois at Urbana-Champaign, June 1-5, 1987, Academic Press, 1988, pp. 245-268.
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LINKS
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MATHEMATICA
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Select[Range[5000], PrimeQ[#] && Divisible[RamanujanTau[#], 13] &] (* Amiram Eldar, Mar 28 2021 *)
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PROG
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(Perl) use ntheory ":all"; forprimes { say unless ramanujan_tau($_) % 13; } 1e4; # Dana Jacobsen, Sep 05 2015
(PARI) isok(p) = isprime(p) && !(ramanujantau(p) % 13); \\ Michel Marcus, Mar 28 2021
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Paolo Dominici (pl.dm(AT)libero.it)
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STATUS
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approved
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