A038542 - OEIS

A038542

Primes p such that Ramanujan function tau(p) is divisible by 11.

19, 29, 199, 337, 421, 433, 443, 463, 569, 577, 593, 607, 641, 757, 809, 821, 887, 1021, 1049, 1063, 1289, 1439, 1471, 1499, 1607, 1621, 1637, 1901, 1987, 1993, 2221, 2417, 2473, 2539, 2621, 2699, 2803, 2917, 3121, 3319, 3343, 3361, 3433

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

REFERENCES

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.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[Range[3500], PrimeQ[#] && Divisible[RamanujanTau[#], 11] &] (* Amiram Eldar, Mar 28 2021 *)

PROG

(PARI) lista (nn) = {forprime(p=1, nn, if (taup(p) % 11 == 0, print1(p, ", ")); ); } \\ (with taup(p) defined in A076847) Michel Marcus, Jun 26 2013

(Perl) use ntheory ":all"; forprimes { say unless ramanujan_tau($_) % 11; } 1e4; # Dana Jacobsen, Sep 05 2015

CROSSREFS

Cf. A038543, A076847.

Sequence in context: A089724 A265804 A276732 * A269262 A166659 A298763

Adjacent sequences: A038539 A038540 A038541 * A038543 A038544 A038545

KEYWORD

nonn

AUTHOR

Paolo Dominici (pl.dm(AT)libero.it)

STATUS

approved