A092102 Non-harmonic primes: the odd primes not in A092101.

3, 7, 11, 19, 29, 31, 37, 43, 47, 53, 59, 61, 71, 83, 89, 97, 101, 103, 109, 127, 131, 137, 151, 163, 167, 173, 181, 197, 199, 211, 227, 229, 233, 257, 269, 271, 283, 313, 347, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 433, 439, 457, 463, 509, 521, 523

Offset

1,1

Comments

For p = prime(n), Boyd defines Jp to be the set of numbers k such that p divides A001008(k), the numerator of the harmonic number H(k). For harmonic primes, Jp contains only the three numbers p-1, (p-1)p and (p-1)(p+1).

Boyd's paper omits 509.

References

A. Eswarathasan and E. Levine, p-integral harmonic sums, Discrete Math. 91 (1991), 249-257.

Links

Table of n, a(n) for n=1..58.

David W. Boyd, A p-adic study of the partial sums of the harmonic series, Experimental Math., Vol. 3 (1994), No. 4, 287-302.

Crossrefs

Cf. A092101 (harmonic primes), A092103 (size of Jp).

Sequence in context: A346912 A276456 A126254 * A158722 A202301 A339974

Adjacent sequences: A092099 A092100 A092101 * A092103 A092104 A092105

Keyword

nonn

Author

T. D. Noe, Feb 20 2004

Status

approved