A078329 Primes p such that mu(p+1)=-1, where mu denotes the moebius function.

2, 29, 41, 101, 109, 113, 137, 173, 181, 229, 257, 281, 317, 353, 373, 401, 409, 433, 601, 617, 641, 653, 677, 709, 761, 821, 829, 853, 937, 941, 977, 1009, 1021, 1033, 1069, 1117, 1129, 1181, 1193, 1297, 1361, 1373, 1433, 1489, 1597, 1613, 1669, 1697

Offset

1,1

Comments

Contains primes followed by primes (i.e., the 2), primes followed by sphenic numbers (A007304), or followed by elements of A046387, A123321, A115343 etc. - R. J. Mathar, Aug 14 2019

Primes followed by numbers that are the product of an odd number of distinct primes (A030059). - Joerg Arndt, Aug 14 2019

Links

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

Example

29 is in the sequence because 29 is prime and mu(30)=-1.

Mathematica

Select[Prime[Range[300]], MoebiusMu[#+1]==-1&] (* Harvey P. Dale, Feb 28 2013 *)

Crossrefs

Cf. A008683, A030059.

Cf. A007304, A046387, A123321, A115343.

Sequence in context: A139833 A260792 A059700 * A340633 A252892 A256472

Adjacent sequences: A078326 A078327 A078328 * A078330 A078331 A078332

Keyword

easy,nonn

Author

Shyam Sunder Gupta, Nov 21 2002

Status

approved