A034167 Product of primes == 1 (mod 7) and cubes of primes == 2 or 4 (mod 7).

1, 8, 29, 43, 64, 71, 113, 127, 197, 211, 232, 239, 281, 337, 344, 379, 421, 449, 463, 491, 512, 547, 568, 617, 631, 659, 673, 701, 743, 757, 827, 841, 883, 904, 911, 953, 967, 1009, 1016, 1051, 1093, 1163, 1247, 1289, 1303, 1331, 1373, 1429, 1471, 1499, 1576, 1583, 1597, 1667

Offset

1,2

Links

Table of n, a(n) for n=1..54.

P. A. B. Pleasants, M. Baake, J. Roth, Planar coincidences for N-fold symmetry J. Math. Phys. 37 (1996) 1029-1058, see p. 1044.

Formula

Nonzero powers in the Dirichlet product Product_{p1,p2,p4} ( ((1+p1^(-s)) / (1-p1^(-s)))^3 * (1+p2^(-3*s)) * (1+p4^(-3*s)) / ((1-p2^(-3*s)) * (1-p4^(-3*s))) ) where p1, p2, p4 are primes congruent to 1, 2, and 4 (mod 7), respectively. - Sean A. Irvine, Aug 03 2020

Crossrefs

Sequence in context: A299093 A299875 A035339 * A299011 A299802 A299678

Adjacent sequences: A034164 A034165 A034166 * A034168 A034169 A034170

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Reiner Martin, May 19 2001

Missing terms inserted by Sean A. Irvine, Aug 03 2020

Status

approved