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A092102 Non-harmonic primes: the odd primes not in A092101. 6
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 (list; graph; refs; listen; history; text; internal format)
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: A265323 A276456 A126254 * A158722 A202301 A123080

Adjacent sequences:  A092099 A092100 A092101 * A092103 A092104 A092105

KEYWORD

nonn

AUTHOR

T. D. Noe, Feb 20 2004

STATUS

approved

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Last modified December 16 14:48 EST 2018. Contains 318167 sequences. (Running on oeis4.)