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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• 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

Extensions

More terms from Reiner Martin, May 19 2001

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