A100669 Zeros of the Mertens function that are also prime.

2, 101, 149, 163, 331, 353, 401, 419, 541, 607, 811, 823, 853, 877, 883, 919, 1013, 1279, 1289, 1291, 1297, 1523, 1531, 1543, 1861, 2017, 2099, 2113, 2309, 2689, 3607, 3613, 4603, 4637, 4723, 5107, 5113, 5197, 5261, 5849, 6011, 6067, 6089, 7187, 7853

Offset

0,1

Links

Table of n, a(n) for n=0..44.

A. Delarte, Mathematician reaches 100k milestone for online integer archive, The South End, November 11, 2004, page 5

PrimeFan, Esoteric Integer Sequences

Mathematica

Select[Range[4000], Plus @@ MoebiusMu[Range[#]] == 0 && PrimeQ[#] &] (* Carl Najafi, Aug 17 2011 *)

Prog

(PARI) s=0; for(n=1, 1e4, s+=moebius(n); if(!s && isprime(n), print1(n", "))) \\ Charles R Greathouse IV, Jan 28 2014

Crossrefs

Cf. A028442.

Sequence in context: A126135 A016034 A171988 * A142050 A195903 A042249

Adjacent sequences: A100666 A100667 A100668 * A100670 A100671 A100672

Keyword

nonn

Author

Robert Happelberg (roberthappelberg(AT)yahoo.com), Dec 05 2004

Status

approved