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

Author

Shyam Sunder Gupta, Nov 21 2002

Keywords

• easy
• nonn

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

Examples

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

Links

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

Crossrefs

Cf. A008683, A030059.

Cf. A007304, A046387, A123321, A115343.

Programs

Mathematica

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