A044516 -id:A044516 - cp's OEIS frontend

A366330 Minimal numbers (with respect to division) with no coprime divisor shift.

2, 15, 33, 51, 69, 87, 123, 141, 159, 177, 213, 249, 267, 303, 321, 339, 393, 411, 447, 501, 519, 537, 573, 591, 665, 681, 699, 717, 753, 771, 789, 807, 819, 843, 879, 933, 951, 1015, 1041, 1059, 1077, 1149, 1167, 1203, 1235, 1257, 1293, 1329, 1347, 1383

Offset: 1

Graph
List
Refs
Listen
History
Text
Internal format

M. Farrokhi D. G., Oct 07 2023

nonn

A number k has a coprime divisor shift s if GCD(d + s, n) = 1 for all divisors d of k.
A number k has a coprime divisor shift iff it is not divisible by any number in the sequence.
If k has no coprime divisor shift, then so is any multiple of k.

a(1) = 2 for GCD(2 + 0, 2) > 1 and GCD(1 + 1, 2) > 1.
a(2) = 15 for GCD(3 + 0, 15) > 1, GCD(5 + 1, 15) > 1, GCD(1 + 2, 15) > 1, and any odd number between 2 and 15 has a coprime divisor shift.

M. Farrokhi D. G., Table of n, a(n) for n = 1..10000

Cf. A044135, A044516, A366219, A366251.

cp's OEIS Frontend

A366330 Minimal numbers (with respect to division) with no coprime divisor shift.

Views

Author

Keywords

Comments

References

Links

Crossrefs